mirror of
https://github.com/allaunthefox/SilverSight.git
synced 2026-07-31 01:25:21 +00:00
35 test cases across 7 scales (small through quintillion) and 5 sizes. Result: 1/35 significant at p<0.05 (0/35 after Bonferroni). Null hypothesis not rejected. Key methodology fixes from adversarial review: - Replaced float-based eigenvalue products with integer-only sum-counting - Added analytical bounds showing 'between' claim is tautological - Added permutation test against random n-subsets at same scale - Documented why earlier float-based 'convergence' was a precision artifact Receipt: docs/research/PRIME_SIDON_NEGATIVE_RESULT.md DAG: .openresearch/artifacts/prime_sidon_dag.json (51 nodes, 35 edges) Script: scripts/prime_sidon_explore.py Build: N/A (Python script, no Lean build)
3392 lines
No EOL
78 KiB
JSON
3392 lines
No EOL
78 KiB
JSON
{
|
|
"nodes": [
|
|
{
|
|
"id": "bounds_s5",
|
|
"type": "analytical_bounds",
|
|
"inputs": {
|
|
"size": 5,
|
|
"lower_bound": 0.36,
|
|
"upper_bound": 0.6
|
|
},
|
|
"result": {
|
|
"lower": 0.36,
|
|
"upper": 0.6
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4632814
|
|
},
|
|
{
|
|
"id": "bounds_s6",
|
|
"type": "analytical_bounds",
|
|
"inputs": {
|
|
"size": 6,
|
|
"lower_bound": 0.3056,
|
|
"upper_bound": 0.5833
|
|
},
|
|
"result": {
|
|
"lower": 0.3056,
|
|
"upper": 0.5833
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4632938
|
|
},
|
|
{
|
|
"id": "bounds_s7",
|
|
"type": "analytical_bounds",
|
|
"inputs": {
|
|
"size": 7,
|
|
"lower_bound": 0.2653,
|
|
"upper_bound": 0.5714
|
|
},
|
|
"result": {
|
|
"lower": 0.2653,
|
|
"upper": 0.5714
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4632998
|
|
},
|
|
{
|
|
"id": "bounds_s8",
|
|
"type": "analytical_bounds",
|
|
"inputs": {
|
|
"size": 8,
|
|
"lower_bound": 0.2344,
|
|
"upper_bound": 0.5625
|
|
},
|
|
"result": {
|
|
"lower": 0.2344,
|
|
"upper": 0.5625
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4633026
|
|
},
|
|
{
|
|
"id": "bounds_s10",
|
|
"type": "analytical_bounds",
|
|
"inputs": {
|
|
"size": 10,
|
|
"lower_bound": 0.19,
|
|
"upper_bound": 0.55
|
|
},
|
|
"result": {
|
|
"lower": 0.19,
|
|
"upper": 0.55
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4633055
|
|
},
|
|
{
|
|
"id": "sidon_pow2_s5",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "sidon_pow2",
|
|
"size": 5,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
4,
|
|
8,
|
|
16
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 15,
|
|
"sidon_score": 0.6,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.8439,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"5": 2,
|
|
"9": 2,
|
|
"17": 2,
|
|
"6": 2,
|
|
"10": 2,
|
|
"18": 2,
|
|
"12": 2,
|
|
"20": 2,
|
|
"24": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.463362
|
|
},
|
|
{
|
|
"id": "nonsidon_seq_s5",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "nonsidon_consecutive",
|
|
"size": 5,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 9,
|
|
"sidon_score": 0.36,
|
|
"max_degeneracy": 5,
|
|
"collision_count": 7,
|
|
"collision_entropy": 2.9991,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"4": 3,
|
|
"5": 4,
|
|
"6": 5,
|
|
"7": 4,
|
|
"8": 3,
|
|
"9": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.463386
|
|
},
|
|
{
|
|
"id": "sidon_pow2_s6",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "sidon_pow2",
|
|
"size": 6,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
4,
|
|
8,
|
|
16,
|
|
32
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 21,
|
|
"sidon_score": 0.583333,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 15,
|
|
"collision_entropy": 4.3366,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"5": 2,
|
|
"9": 2,
|
|
"17": 2,
|
|
"33": 2,
|
|
"6": 2,
|
|
"10": 2,
|
|
"18": 2,
|
|
"34": 2,
|
|
"12": 2,
|
|
"20": 2,
|
|
"36": 2,
|
|
"24": 2,
|
|
"40": 2,
|
|
"48": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.463407
|
|
},
|
|
{
|
|
"id": "nonsidon_seq_s6",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "nonsidon_consecutive",
|
|
"size": 6,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5,
|
|
6
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 11,
|
|
"sidon_score": 0.305556,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 9,
|
|
"collision_entropy": 3.2744,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"4": 3,
|
|
"5": 4,
|
|
"6": 5,
|
|
"7": 6,
|
|
"8": 5,
|
|
"9": 4,
|
|
"10": 3,
|
|
"11": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4634237
|
|
},
|
|
{
|
|
"id": "sidon_pow2_s7",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "sidon_pow2",
|
|
"size": 7,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
4,
|
|
8,
|
|
16,
|
|
32,
|
|
64
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 28,
|
|
"sidon_score": 0.571429,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 21,
|
|
"collision_entropy": 4.7576,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"5": 2,
|
|
"9": 2,
|
|
"17": 2,
|
|
"33": 2,
|
|
"65": 2,
|
|
"6": 2,
|
|
"10": 2,
|
|
"18": 2,
|
|
"34": 2,
|
|
"66": 2,
|
|
"12": 2,
|
|
"20": 2,
|
|
"36": 2,
|
|
"68": 2,
|
|
"24": 2,
|
|
"40": 2,
|
|
"72": 2,
|
|
"48": 2,
|
|
"80": 2,
|
|
"96": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.463446
|
|
},
|
|
{
|
|
"id": "nonsidon_seq_s7",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "nonsidon_consecutive",
|
|
"size": 7,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5,
|
|
6,
|
|
7
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 13,
|
|
"sidon_score": 0.265306,
|
|
"max_degeneracy": 7,
|
|
"collision_count": 11,
|
|
"collision_entropy": 3.5045,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"4": 3,
|
|
"5": 4,
|
|
"6": 5,
|
|
"7": 6,
|
|
"8": 7,
|
|
"9": 6,
|
|
"10": 5,
|
|
"11": 4,
|
|
"12": 3,
|
|
"13": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4634626
|
|
},
|
|
{
|
|
"id": "sidon_pow2_s8",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "sidon_pow2",
|
|
"size": 8,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
4,
|
|
8,
|
|
16,
|
|
32,
|
|
64,
|
|
128
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 36,
|
|
"sidon_score": 0.5625,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 28,
|
|
"collision_entropy": 5.125,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"5": 2,
|
|
"9": 2,
|
|
"17": 2,
|
|
"33": 2,
|
|
"65": 2,
|
|
"129": 2,
|
|
"6": 2,
|
|
"10": 2,
|
|
"18": 2,
|
|
"34": 2,
|
|
"66": 2,
|
|
"130": 2,
|
|
"12": 2,
|
|
"20": 2,
|
|
"36": 2,
|
|
"68": 2,
|
|
"132": 2,
|
|
"24": 2,
|
|
"40": 2,
|
|
"72": 2,
|
|
"136": 2,
|
|
"48": 2,
|
|
"80": 2,
|
|
"144": 2,
|
|
"96": 2,
|
|
"160": 2,
|
|
"192": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.463489
|
|
},
|
|
{
|
|
"id": "nonsidon_seq_s8",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "nonsidon_consecutive",
|
|
"size": 8,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5,
|
|
6,
|
|
7,
|
|
8
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 15,
|
|
"sidon_score": 0.234375,
|
|
"max_degeneracy": 8,
|
|
"collision_count": 13,
|
|
"collision_entropy": 3.7023,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"4": 3,
|
|
"5": 4,
|
|
"6": 5,
|
|
"7": 6,
|
|
"8": 7,
|
|
"9": 8,
|
|
"10": 7,
|
|
"11": 6,
|
|
"12": 5,
|
|
"13": 4,
|
|
"14": 3,
|
|
"15": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4635081
|
|
},
|
|
{
|
|
"id": "sidon_pow2_s10",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "sidon_pow2",
|
|
"size": 10,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
4,
|
|
8,
|
|
16,
|
|
32,
|
|
64,
|
|
128,
|
|
256,
|
|
512
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 55,
|
|
"sidon_score": 0.55,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 45,
|
|
"collision_entropy": 5.7439,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"5": 2,
|
|
"9": 2,
|
|
"17": 2,
|
|
"33": 2,
|
|
"65": 2,
|
|
"129": 2,
|
|
"257": 2,
|
|
"513": 2,
|
|
"6": 2,
|
|
"10": 2,
|
|
"18": 2,
|
|
"34": 2,
|
|
"66": 2,
|
|
"130": 2,
|
|
"258": 2,
|
|
"514": 2,
|
|
"12": 2,
|
|
"20": 2,
|
|
"36": 2,
|
|
"68": 2,
|
|
"132": 2,
|
|
"260": 2,
|
|
"516": 2,
|
|
"24": 2,
|
|
"40": 2,
|
|
"72": 2,
|
|
"136": 2,
|
|
"264": 2,
|
|
"520": 2,
|
|
"48": 2,
|
|
"80": 2,
|
|
"144": 2,
|
|
"272": 2,
|
|
"528": 2,
|
|
"96": 2,
|
|
"160": 2,
|
|
"288": 2,
|
|
"544": 2,
|
|
"192": 2,
|
|
"320": 2,
|
|
"576": 2,
|
|
"384": 2,
|
|
"640": 2,
|
|
"768": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4635487
|
|
},
|
|
{
|
|
"id": "nonsidon_seq_s10",
|
|
"type": "reference",
|
|
"inputs": {
|
|
"type": "nonsidon_consecutive",
|
|
"size": 10,
|
|
"labels": [
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5,
|
|
6,
|
|
7,
|
|
8,
|
|
9,
|
|
10
|
|
]
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 19,
|
|
"sidon_score": 0.19,
|
|
"max_degeneracy": 10,
|
|
"collision_count": 17,
|
|
"collision_entropy": 4.0306,
|
|
"collision_histogram": {
|
|
"3": 2,
|
|
"4": 3,
|
|
"5": 4,
|
|
"6": 5,
|
|
"7": 6,
|
|
"8": 7,
|
|
"9": 8,
|
|
"10": 9,
|
|
"11": 10,
|
|
"12": 9,
|
|
"13": 8,
|
|
"14": 7,
|
|
"15": 6,
|
|
"16": 5,
|
|
"17": 4,
|
|
"18": 3,
|
|
"19": 2
|
|
}
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120468.4635704
|
|
},
|
|
{
|
|
"id": "primes_small_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "small",
|
|
"labels": [
|
|
2,
|
|
3,
|
|
5,
|
|
7,
|
|
11
|
|
],
|
|
"range": [
|
|
2,
|
|
11
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 13,
|
|
"sidon_score": 0.52,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.6235,
|
|
"collision_histogram": {
|
|
"5": 2,
|
|
"7": 2,
|
|
"9": 2,
|
|
"13": 2,
|
|
"8": 2,
|
|
"10": 3,
|
|
"14": 3,
|
|
"12": 2,
|
|
"16": 2,
|
|
"18": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4881,
|
|
"std": 0.0442,
|
|
"p5": 0.4,
|
|
"p50": 0.48,
|
|
"p95": 0.56,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.806,
|
|
"effect_size": 0.0319,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0297,
|
|
"timestamp": 1783120468.8049326
|
|
},
|
|
{
|
|
"id": "primes_small_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "small",
|
|
"labels": [
|
|
2,
|
|
3,
|
|
5,
|
|
7,
|
|
11,
|
|
13
|
|
],
|
|
"range": [
|
|
2,
|
|
13
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 17,
|
|
"sidon_score": 0.472222,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 13,
|
|
"collision_entropy": 3.9613,
|
|
"collision_histogram": {
|
|
"5": 2,
|
|
"7": 2,
|
|
"9": 2,
|
|
"13": 2,
|
|
"15": 2,
|
|
"8": 2,
|
|
"10": 3,
|
|
"14": 3,
|
|
"16": 4,
|
|
"12": 2,
|
|
"18": 4,
|
|
"20": 2,
|
|
"24": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4369,
|
|
"std": 0.0408,
|
|
"p5": 0.3611,
|
|
"p50": 0.4444,
|
|
"p95": 0.5,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.668,
|
|
"effect_size": 0.0353,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0344,
|
|
"timestamp": 1783120469.1452806
|
|
},
|
|
{
|
|
"id": "primes_small_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "small",
|
|
"labels": [
|
|
2,
|
|
3,
|
|
5,
|
|
7,
|
|
11,
|
|
13,
|
|
17
|
|
],
|
|
"range": [
|
|
2,
|
|
17
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 21,
|
|
"sidon_score": 0.428571,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 17,
|
|
"collision_entropy": 4.2624,
|
|
"collision_histogram": {
|
|
"5": 2,
|
|
"7": 2,
|
|
"9": 2,
|
|
"13": 2,
|
|
"15": 2,
|
|
"19": 2,
|
|
"8": 2,
|
|
"10": 3,
|
|
"14": 3,
|
|
"16": 4,
|
|
"20": 4,
|
|
"12": 2,
|
|
"18": 4,
|
|
"22": 3,
|
|
"24": 4,
|
|
"28": 2,
|
|
"30": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4191,
|
|
"std": 0.0352,
|
|
"p5": 0.3673,
|
|
"p50": 0.4286,
|
|
"p95": 0.4694,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0095,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0411,
|
|
"timestamp": 1783120469.4886904
|
|
},
|
|
{
|
|
"id": "primes_small_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "small",
|
|
"labels": [
|
|
2,
|
|
3,
|
|
5,
|
|
7,
|
|
11,
|
|
13,
|
|
17,
|
|
19
|
|
],
|
|
"range": [
|
|
2,
|
|
19
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 25,
|
|
"sidon_score": 0.390625,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 21,
|
|
"collision_entropy": 4.4784,
|
|
"collision_histogram": {
|
|
"5": 2,
|
|
"7": 2,
|
|
"9": 2,
|
|
"13": 2,
|
|
"15": 2,
|
|
"19": 2,
|
|
"21": 2,
|
|
"8": 2,
|
|
"10": 3,
|
|
"14": 3,
|
|
"16": 4,
|
|
"20": 4,
|
|
"22": 5,
|
|
"12": 2,
|
|
"18": 4,
|
|
"24": 6,
|
|
"26": 3,
|
|
"28": 2,
|
|
"30": 4,
|
|
"32": 2,
|
|
"36": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.3822,
|
|
"std": 0.0326,
|
|
"p5": 0.3281,
|
|
"p50": 0.3906,
|
|
"p95": 0.4375,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0084,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0475,
|
|
"timestamp": 1783120469.8475132
|
|
},
|
|
{
|
|
"id": "primes_small_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "small",
|
|
"labels": [
|
|
2,
|
|
3,
|
|
5,
|
|
7,
|
|
11,
|
|
13,
|
|
17,
|
|
19,
|
|
23,
|
|
29
|
|
],
|
|
"range": [
|
|
2,
|
|
29
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 33,
|
|
"sidon_score": 0.33,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 29,
|
|
"collision_entropy": 4.8676,
|
|
"collision_histogram": {
|
|
"5": 2,
|
|
"7": 2,
|
|
"9": 2,
|
|
"13": 2,
|
|
"15": 2,
|
|
"19": 2,
|
|
"21": 2,
|
|
"25": 2,
|
|
"31": 2,
|
|
"8": 2,
|
|
"10": 3,
|
|
"14": 3,
|
|
"16": 4,
|
|
"20": 4,
|
|
"22": 5,
|
|
"26": 5,
|
|
"32": 4,
|
|
"12": 2,
|
|
"18": 4,
|
|
"24": 6,
|
|
"28": 4,
|
|
"34": 5,
|
|
"30": 6,
|
|
"36": 6,
|
|
"40": 4,
|
|
"42": 4,
|
|
"46": 3,
|
|
"48": 2,
|
|
"52": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.365,
|
|
"std": 0.0275,
|
|
"p5": 0.32,
|
|
"p50": 0.37,
|
|
"p95": 0.41,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.298,
|
|
"effect_size": -0.035,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0636,
|
|
"timestamp": 1783120470.213078
|
|
},
|
|
{
|
|
"id": "primes_kilo_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "kilo",
|
|
"labels": [
|
|
1009,
|
|
1013,
|
|
1019,
|
|
1021,
|
|
1031
|
|
],
|
|
"range": [
|
|
1009,
|
|
1031
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 14,
|
|
"sidon_score": 0.56,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 9,
|
|
"collision_entropy": 3.6839,
|
|
"collision_histogram": {
|
|
"2022": 2,
|
|
"2028": 2,
|
|
"2030": 2,
|
|
"2040": 4,
|
|
"2032": 2,
|
|
"2034": 2,
|
|
"2044": 2,
|
|
"2050": 2,
|
|
"2052": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5537,
|
|
"std": 0.0359,
|
|
"p5": 0.48,
|
|
"p50": 0.56,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0063,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0322,
|
|
"timestamp": 1783120470.5489564
|
|
},
|
|
{
|
|
"id": "primes_kilo_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "kilo",
|
|
"labels": [
|
|
1009,
|
|
1013,
|
|
1019,
|
|
1021,
|
|
1031,
|
|
1033
|
|
],
|
|
"range": [
|
|
1009,
|
|
1033
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 18,
|
|
"sidon_score": 0.5,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 13,
|
|
"collision_entropy": 4.0378,
|
|
"collision_histogram": {
|
|
"2022": 2,
|
|
"2028": 2,
|
|
"2030": 2,
|
|
"2040": 4,
|
|
"2042": 3,
|
|
"2032": 2,
|
|
"2034": 2,
|
|
"2044": 2,
|
|
"2046": 2,
|
|
"2050": 2,
|
|
"2052": 4,
|
|
"2054": 2,
|
|
"2064": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.516,
|
|
"std": 0.0336,
|
|
"p5": 0.4444,
|
|
"p50": 0.5278,
|
|
"p95": 0.5556,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.844,
|
|
"effect_size": -0.016,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0415,
|
|
"timestamp": 1783120470.8916674
|
|
},
|
|
{
|
|
"id": "primes_kilo_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "kilo",
|
|
"labels": [
|
|
1009,
|
|
1013,
|
|
1019,
|
|
1021,
|
|
1031,
|
|
1033,
|
|
1039
|
|
],
|
|
"range": [
|
|
1009,
|
|
1039
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 24,
|
|
"sidon_score": 0.489796,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 18,
|
|
"collision_entropy": 4.4256,
|
|
"collision_histogram": {
|
|
"2022": 2,
|
|
"2028": 2,
|
|
"2030": 2,
|
|
"2040": 4,
|
|
"2042": 3,
|
|
"2048": 2,
|
|
"2032": 2,
|
|
"2034": 2,
|
|
"2044": 2,
|
|
"2046": 2,
|
|
"2052": 6,
|
|
"2050": 2,
|
|
"2058": 2,
|
|
"2054": 2,
|
|
"2060": 2,
|
|
"2064": 2,
|
|
"2070": 2,
|
|
"2072": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4912,
|
|
"std": 0.0336,
|
|
"p5": 0.4286,
|
|
"p50": 0.4898,
|
|
"p95": 0.5306,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": -0.0014,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0479,
|
|
"timestamp": 1783120471.2387857
|
|
},
|
|
{
|
|
"id": "primes_kilo_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "kilo",
|
|
"labels": [
|
|
1009,
|
|
1013,
|
|
1019,
|
|
1021,
|
|
1031,
|
|
1033,
|
|
1039,
|
|
1049
|
|
],
|
|
"range": [
|
|
1009,
|
|
1049
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 29,
|
|
"sidon_score": 0.453125,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 23,
|
|
"collision_entropy": 4.7028,
|
|
"collision_histogram": {
|
|
"2022": 2,
|
|
"2028": 2,
|
|
"2030": 2,
|
|
"2040": 4,
|
|
"2042": 3,
|
|
"2048": 2,
|
|
"2058": 4,
|
|
"2032": 2,
|
|
"2034": 2,
|
|
"2044": 2,
|
|
"2046": 2,
|
|
"2052": 6,
|
|
"2062": 3,
|
|
"2050": 2,
|
|
"2068": 2,
|
|
"2054": 2,
|
|
"2060": 2,
|
|
"2070": 4,
|
|
"2064": 2,
|
|
"2080": 2,
|
|
"2072": 2,
|
|
"2082": 2,
|
|
"2088": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4793,
|
|
"std": 0.0286,
|
|
"p5": 0.4375,
|
|
"p50": 0.4844,
|
|
"p95": 0.5156,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.502,
|
|
"effect_size": -0.0262,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0576,
|
|
"timestamp": 1783120471.5968723
|
|
},
|
|
{
|
|
"id": "primes_kilo_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "kilo",
|
|
"labels": [
|
|
1009,
|
|
1013,
|
|
1019,
|
|
1021,
|
|
1031,
|
|
1033,
|
|
1039,
|
|
1049,
|
|
1051,
|
|
1061
|
|
],
|
|
"range": [
|
|
1009,
|
|
1061
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 39,
|
|
"sidon_score": 0.39,
|
|
"max_degeneracy": 8,
|
|
"collision_count": 31,
|
|
"collision_entropy": 5.0586,
|
|
"collision_histogram": {
|
|
"2022": 2,
|
|
"2028": 2,
|
|
"2030": 2,
|
|
"2040": 4,
|
|
"2042": 3,
|
|
"2048": 2,
|
|
"2058": 4,
|
|
"2060": 4,
|
|
"2070": 8,
|
|
"2032": 2,
|
|
"2034": 2,
|
|
"2044": 2,
|
|
"2046": 2,
|
|
"2052": 6,
|
|
"2062": 3,
|
|
"2064": 4,
|
|
"2074": 2,
|
|
"2050": 2,
|
|
"2068": 2,
|
|
"2080": 4,
|
|
"2054": 2,
|
|
"2072": 4,
|
|
"2082": 6,
|
|
"2092": 2,
|
|
"2084": 2,
|
|
"2094": 2,
|
|
"2088": 2,
|
|
"2090": 2,
|
|
"2100": 4,
|
|
"2110": 2,
|
|
"2112": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.4461,
|
|
"std": 0.0256,
|
|
"p5": 0.4,
|
|
"p50": 0.45,
|
|
"p95": 0.48,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.104,
|
|
"effect_size": -0.0561,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0795,
|
|
"timestamp": 1783120471.9800327
|
|
},
|
|
{
|
|
"id": "primes_million_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "million",
|
|
"labels": [
|
|
1000003,
|
|
1000033,
|
|
1000037,
|
|
1000039,
|
|
1000081
|
|
],
|
|
"range": [
|
|
1000003,
|
|
1000081
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 15,
|
|
"sidon_score": 0.6,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.8439,
|
|
"collision_histogram": {
|
|
"2000036": 2,
|
|
"2000040": 2,
|
|
"2000042": 2,
|
|
"2000084": 2,
|
|
"2000070": 2,
|
|
"2000072": 2,
|
|
"2000114": 2,
|
|
"2000076": 2,
|
|
"2000118": 2,
|
|
"2000120": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5878,
|
|
"std": 0.02,
|
|
"p5": 0.56,
|
|
"p50": 0.6,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0122,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0347,
|
|
"timestamp": 1783120472.3185062
|
|
},
|
|
{
|
|
"id": "primes_million_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "million",
|
|
"labels": [
|
|
1000003,
|
|
1000033,
|
|
1000037,
|
|
1000039,
|
|
1000081,
|
|
1000099
|
|
],
|
|
"range": [
|
|
1000003,
|
|
1000099
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 21,
|
|
"sidon_score": 0.583333,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 15,
|
|
"collision_entropy": 4.3366,
|
|
"collision_histogram": {
|
|
"2000036": 2,
|
|
"2000040": 2,
|
|
"2000042": 2,
|
|
"2000084": 2,
|
|
"2000102": 2,
|
|
"2000070": 2,
|
|
"2000072": 2,
|
|
"2000114": 2,
|
|
"2000132": 2,
|
|
"2000076": 2,
|
|
"2000118": 2,
|
|
"2000136": 2,
|
|
"2000120": 2,
|
|
"2000138": 2,
|
|
"2000180": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.566,
|
|
"std": 0.0203,
|
|
"p5": 0.5278,
|
|
"p50": 0.5556,
|
|
"p95": 0.5833,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0173,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0411,
|
|
"timestamp": 1783120472.6634493
|
|
},
|
|
{
|
|
"id": "primes_million_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "million",
|
|
"labels": [
|
|
1000003,
|
|
1000033,
|
|
1000037,
|
|
1000039,
|
|
1000081,
|
|
1000099,
|
|
1000117
|
|
],
|
|
"range": [
|
|
1000003,
|
|
1000117
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 26,
|
|
"sidon_score": 0.530612,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 20,
|
|
"collision_entropy": 4.6197,
|
|
"collision_histogram": {
|
|
"2000036": 2,
|
|
"2000040": 2,
|
|
"2000042": 2,
|
|
"2000084": 2,
|
|
"2000102": 2,
|
|
"2000120": 4,
|
|
"2000070": 2,
|
|
"2000072": 2,
|
|
"2000114": 2,
|
|
"2000132": 2,
|
|
"2000150": 2,
|
|
"2000076": 2,
|
|
"2000118": 2,
|
|
"2000136": 2,
|
|
"2000154": 2,
|
|
"2000138": 2,
|
|
"2000156": 2,
|
|
"2000180": 2,
|
|
"2000198": 3,
|
|
"2000216": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5495,
|
|
"std": 0.0207,
|
|
"p5": 0.5102,
|
|
"p50": 0.551,
|
|
"p95": 0.5714,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.492,
|
|
"effect_size": -0.0189,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0512,
|
|
"timestamp": 1783120473.031353
|
|
},
|
|
{
|
|
"id": "primes_million_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "million",
|
|
"labels": [
|
|
1000003,
|
|
1000033,
|
|
1000037,
|
|
1000039,
|
|
1000081,
|
|
1000099,
|
|
1000117,
|
|
1000121
|
|
],
|
|
"range": [
|
|
1000003,
|
|
1000121
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 33,
|
|
"sidon_score": 0.515625,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 26,
|
|
"collision_entropy": 4.957,
|
|
"collision_histogram": {
|
|
"2000036": 2,
|
|
"2000040": 2,
|
|
"2000042": 2,
|
|
"2000084": 2,
|
|
"2000102": 2,
|
|
"2000120": 4,
|
|
"2000124": 2,
|
|
"2000070": 2,
|
|
"2000072": 2,
|
|
"2000114": 2,
|
|
"2000132": 2,
|
|
"2000150": 2,
|
|
"2000154": 4,
|
|
"2000076": 2,
|
|
"2000118": 2,
|
|
"2000136": 2,
|
|
"2000158": 2,
|
|
"2000138": 2,
|
|
"2000156": 2,
|
|
"2000160": 2,
|
|
"2000180": 2,
|
|
"2000198": 3,
|
|
"2000202": 2,
|
|
"2000216": 2,
|
|
"2000220": 2,
|
|
"2000238": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5343,
|
|
"std": 0.0202,
|
|
"p5": 0.5,
|
|
"p50": 0.5312,
|
|
"p95": 0.5625,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.504,
|
|
"effect_size": -0.0187,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0603,
|
|
"timestamp": 1783120473.4020586
|
|
},
|
|
{
|
|
"id": "primes_million_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "million",
|
|
"labels": [
|
|
1000003,
|
|
1000033,
|
|
1000037,
|
|
1000039,
|
|
1000081,
|
|
1000099,
|
|
1000117,
|
|
1000121,
|
|
1000133,
|
|
1000151
|
|
],
|
|
"range": [
|
|
1000003,
|
|
1000151
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 48,
|
|
"sidon_score": 0.48,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 39,
|
|
"collision_entropy": 5.4612,
|
|
"collision_histogram": {
|
|
"2000036": 2,
|
|
"2000040": 2,
|
|
"2000042": 2,
|
|
"2000084": 2,
|
|
"2000102": 2,
|
|
"2000120": 4,
|
|
"2000124": 2,
|
|
"2000136": 4,
|
|
"2000154": 6,
|
|
"2000070": 2,
|
|
"2000072": 2,
|
|
"2000114": 2,
|
|
"2000132": 2,
|
|
"2000150": 2,
|
|
"2000166": 2,
|
|
"2000184": 2,
|
|
"2000076": 2,
|
|
"2000118": 2,
|
|
"2000158": 2,
|
|
"2000170": 2,
|
|
"2000188": 2,
|
|
"2000138": 2,
|
|
"2000156": 2,
|
|
"2000160": 2,
|
|
"2000172": 2,
|
|
"2000190": 2,
|
|
"2000180": 2,
|
|
"2000198": 3,
|
|
"2000202": 2,
|
|
"2000214": 2,
|
|
"2000232": 4,
|
|
"2000216": 2,
|
|
"2000220": 2,
|
|
"2000250": 4,
|
|
"2000238": 2,
|
|
"2000268": 2,
|
|
"2000254": 2,
|
|
"2000272": 2,
|
|
"2000284": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5106,
|
|
"std": 0.0181,
|
|
"p5": 0.48,
|
|
"p50": 0.51,
|
|
"p95": 0.54,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.16,
|
|
"effect_size": -0.0306,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0822,
|
|
"timestamp": 1783120473.7883615
|
|
},
|
|
{
|
|
"id": "primes_billion_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "billion",
|
|
"labels": [
|
|
1000000007,
|
|
1000000009,
|
|
1000000021,
|
|
1000000033,
|
|
1000000087
|
|
],
|
|
"range": [
|
|
1000000007,
|
|
1000000087
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 14,
|
|
"sidon_score": 0.56,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.7337,
|
|
"collision_histogram": {
|
|
"2000000016": 2,
|
|
"2000000028": 2,
|
|
"2000000040": 2,
|
|
"2000000094": 2,
|
|
"2000000030": 2,
|
|
"2000000042": 3,
|
|
"2000000096": 2,
|
|
"2000000054": 2,
|
|
"2000000108": 2,
|
|
"2000000120": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5868,
|
|
"std": 0.0225,
|
|
"p5": 0.56,
|
|
"p50": 0.6,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.502,
|
|
"effect_size": -0.0268,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0347,
|
|
"timestamp": 1783120474.0052655
|
|
},
|
|
{
|
|
"id": "primes_billion_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "billion",
|
|
"labels": [
|
|
1000000007,
|
|
1000000009,
|
|
1000000021,
|
|
1000000033,
|
|
1000000087,
|
|
1000000093
|
|
],
|
|
"range": [
|
|
1000000007,
|
|
1000000093
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 20,
|
|
"sidon_score": 0.555556,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 15,
|
|
"collision_entropy": 4.2601,
|
|
"collision_histogram": {
|
|
"2000000016": 2,
|
|
"2000000028": 2,
|
|
"2000000040": 2,
|
|
"2000000094": 2,
|
|
"2000000100": 2,
|
|
"2000000030": 2,
|
|
"2000000042": 3,
|
|
"2000000096": 2,
|
|
"2000000102": 2,
|
|
"2000000054": 2,
|
|
"2000000108": 2,
|
|
"2000000114": 2,
|
|
"2000000120": 2,
|
|
"2000000126": 2,
|
|
"2000000180": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5644,
|
|
"std": 0.0216,
|
|
"p5": 0.5278,
|
|
"p50": 0.5556,
|
|
"p95": 0.5833,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": -0.0088,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0431,
|
|
"timestamp": 1783120474.0484068
|
|
},
|
|
{
|
|
"id": "primes_billion_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "billion",
|
|
"labels": [
|
|
1000000007,
|
|
1000000009,
|
|
1000000021,
|
|
1000000033,
|
|
1000000087,
|
|
1000000093,
|
|
1000000097
|
|
],
|
|
"range": [
|
|
1000000007,
|
|
1000000097
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 27,
|
|
"sidon_score": 0.55102,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 21,
|
|
"collision_entropy": 4.7013,
|
|
"collision_histogram": {
|
|
"2000000016": 2,
|
|
"2000000028": 2,
|
|
"2000000040": 2,
|
|
"2000000094": 2,
|
|
"2000000100": 2,
|
|
"2000000104": 2,
|
|
"2000000030": 2,
|
|
"2000000042": 3,
|
|
"2000000096": 2,
|
|
"2000000102": 2,
|
|
"2000000106": 2,
|
|
"2000000054": 2,
|
|
"2000000108": 2,
|
|
"2000000114": 2,
|
|
"2000000118": 2,
|
|
"2000000120": 2,
|
|
"2000000126": 2,
|
|
"2000000130": 2,
|
|
"2000000180": 2,
|
|
"2000000184": 2,
|
|
"2000000190": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5433,
|
|
"std": 0.0224,
|
|
"p5": 0.5102,
|
|
"p50": 0.551,
|
|
"p95": 0.5714,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0077,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0512,
|
|
"timestamp": 1783120474.0996733
|
|
},
|
|
{
|
|
"id": "primes_billion_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "billion",
|
|
"labels": [
|
|
1000000007,
|
|
1000000009,
|
|
1000000021,
|
|
1000000033,
|
|
1000000087,
|
|
1000000093,
|
|
1000000097,
|
|
1000000103
|
|
],
|
|
"range": [
|
|
1000000007,
|
|
1000000103
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 34,
|
|
"sidon_score": 0.53125,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 27,
|
|
"collision_entropy": 5.0195,
|
|
"collision_histogram": {
|
|
"2000000016": 2,
|
|
"2000000028": 2,
|
|
"2000000040": 2,
|
|
"2000000094": 2,
|
|
"2000000100": 2,
|
|
"2000000104": 2,
|
|
"2000000110": 2,
|
|
"2000000030": 2,
|
|
"2000000042": 3,
|
|
"2000000096": 2,
|
|
"2000000102": 2,
|
|
"2000000106": 2,
|
|
"2000000112": 2,
|
|
"2000000054": 2,
|
|
"2000000108": 2,
|
|
"2000000114": 2,
|
|
"2000000118": 2,
|
|
"2000000124": 2,
|
|
"2000000120": 2,
|
|
"2000000126": 2,
|
|
"2000000130": 2,
|
|
"2000000136": 2,
|
|
"2000000180": 2,
|
|
"2000000184": 2,
|
|
"2000000190": 4,
|
|
"2000000196": 2,
|
|
"2000000200": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5268,
|
|
"std": 0.0211,
|
|
"p5": 0.4844,
|
|
"p50": 0.5312,
|
|
"p95": 0.5625,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0044,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0608,
|
|
"timestamp": 1783120474.160529
|
|
},
|
|
{
|
|
"id": "primes_billion_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "billion",
|
|
"labels": [
|
|
1000000007,
|
|
1000000009,
|
|
1000000021,
|
|
1000000033,
|
|
1000000087,
|
|
1000000093,
|
|
1000000097,
|
|
1000000103,
|
|
1000000123,
|
|
1000000181
|
|
],
|
|
"range": [
|
|
1000000007,
|
|
1000000181
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 51,
|
|
"sidon_score": 0.51,
|
|
"max_degeneracy": 6,
|
|
"collision_count": 42,
|
|
"collision_entropy": 5.5812,
|
|
"collision_histogram": {
|
|
"2000000016": 2,
|
|
"2000000028": 2,
|
|
"2000000040": 2,
|
|
"2000000094": 2,
|
|
"2000000100": 2,
|
|
"2000000104": 2,
|
|
"2000000110": 2,
|
|
"2000000130": 4,
|
|
"2000000188": 2,
|
|
"2000000030": 2,
|
|
"2000000042": 3,
|
|
"2000000096": 2,
|
|
"2000000102": 2,
|
|
"2000000106": 2,
|
|
"2000000112": 2,
|
|
"2000000132": 2,
|
|
"2000000190": 6,
|
|
"2000000054": 2,
|
|
"2000000108": 2,
|
|
"2000000114": 2,
|
|
"2000000118": 2,
|
|
"2000000124": 2,
|
|
"2000000144": 2,
|
|
"2000000202": 2,
|
|
"2000000120": 2,
|
|
"2000000126": 2,
|
|
"2000000136": 2,
|
|
"2000000156": 2,
|
|
"2000000214": 2,
|
|
"2000000180": 2,
|
|
"2000000184": 2,
|
|
"2000000210": 2,
|
|
"2000000268": 2,
|
|
"2000000196": 2,
|
|
"2000000216": 2,
|
|
"2000000274": 2,
|
|
"2000000200": 2,
|
|
"2000000220": 2,
|
|
"2000000278": 2,
|
|
"2000000226": 2,
|
|
"2000000284": 2,
|
|
"2000000304": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.516,
|
|
"std": 0.0171,
|
|
"p5": 0.48,
|
|
"p50": 0.52,
|
|
"p95": 0.54,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.82,
|
|
"effect_size": -0.006,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0843,
|
|
"timestamp": 1783120474.2448404
|
|
},
|
|
{
|
|
"id": "primes_trillion_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "trillion",
|
|
"labels": [
|
|
1000000000039,
|
|
1000000000061,
|
|
1000000000063,
|
|
1000000000091,
|
|
1000000000121
|
|
],
|
|
"range": [
|
|
1000000000039,
|
|
1000000000121
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 14,
|
|
"sidon_score": 0.56,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.7337,
|
|
"collision_histogram": {
|
|
"2000000000100": 2,
|
|
"2000000000102": 2,
|
|
"2000000000130": 2,
|
|
"2000000000160": 2,
|
|
"2000000000124": 2,
|
|
"2000000000152": 2,
|
|
"2000000000182": 3,
|
|
"2000000000154": 2,
|
|
"2000000000184": 2,
|
|
"2000000000212": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5895,
|
|
"std": 0.0205,
|
|
"p5": 0.56,
|
|
"p50": 0.6,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.54,
|
|
"effect_size": -0.0295,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0343,
|
|
"timestamp": 1783120474.2791667
|
|
},
|
|
{
|
|
"id": "primes_trillion_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "trillion",
|
|
"labels": [
|
|
1000000000039,
|
|
1000000000061,
|
|
1000000000063,
|
|
1000000000091,
|
|
1000000000121,
|
|
1000000000163
|
|
],
|
|
"range": [
|
|
1000000000039,
|
|
1000000000163
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 20,
|
|
"sidon_score": 0.555556,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 15,
|
|
"collision_entropy": 4.2601,
|
|
"collision_histogram": {
|
|
"2000000000100": 2,
|
|
"2000000000102": 2,
|
|
"2000000000130": 2,
|
|
"2000000000160": 2,
|
|
"2000000000202": 2,
|
|
"2000000000124": 2,
|
|
"2000000000152": 2,
|
|
"2000000000182": 3,
|
|
"2000000000224": 2,
|
|
"2000000000154": 2,
|
|
"2000000000184": 2,
|
|
"2000000000226": 2,
|
|
"2000000000212": 2,
|
|
"2000000000254": 2,
|
|
"2000000000284": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.57,
|
|
"std": 0.019,
|
|
"p5": 0.5278,
|
|
"p50": 0.5833,
|
|
"p95": 0.5833,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.766,
|
|
"effect_size": -0.0144,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0423,
|
|
"timestamp": 1783120474.3214636
|
|
},
|
|
{
|
|
"id": "primes_trillion_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "trillion",
|
|
"labels": [
|
|
1000000000039,
|
|
1000000000061,
|
|
1000000000063,
|
|
1000000000091,
|
|
1000000000121,
|
|
1000000000163,
|
|
1000000000169
|
|
],
|
|
"range": [
|
|
1000000000039,
|
|
1000000000169
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 27,
|
|
"sidon_score": 0.55102,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 21,
|
|
"collision_entropy": 4.7013,
|
|
"collision_histogram": {
|
|
"2000000000100": 2,
|
|
"2000000000102": 2,
|
|
"2000000000130": 2,
|
|
"2000000000160": 2,
|
|
"2000000000202": 2,
|
|
"2000000000208": 2,
|
|
"2000000000124": 2,
|
|
"2000000000152": 2,
|
|
"2000000000182": 3,
|
|
"2000000000224": 2,
|
|
"2000000000230": 2,
|
|
"2000000000154": 2,
|
|
"2000000000184": 2,
|
|
"2000000000226": 2,
|
|
"2000000000232": 2,
|
|
"2000000000212": 2,
|
|
"2000000000254": 2,
|
|
"2000000000260": 2,
|
|
"2000000000284": 2,
|
|
"2000000000290": 2,
|
|
"2000000000332": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5523,
|
|
"std": 0.0193,
|
|
"p5": 0.5102,
|
|
"p50": 0.551,
|
|
"p95": 0.5714,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": -0.0013,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0515,
|
|
"timestamp": 1783120474.3729565
|
|
},
|
|
{
|
|
"id": "primes_trillion_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "trillion",
|
|
"labels": [
|
|
1000000000039,
|
|
1000000000061,
|
|
1000000000063,
|
|
1000000000091,
|
|
1000000000121,
|
|
1000000000163,
|
|
1000000000169,
|
|
1000000000177
|
|
],
|
|
"range": [
|
|
1000000000039,
|
|
1000000000177
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 35,
|
|
"sidon_score": 0.546875,
|
|
"max_degeneracy": 3,
|
|
"collision_count": 28,
|
|
"collision_entropy": 5.082,
|
|
"collision_histogram": {
|
|
"2000000000100": 2,
|
|
"2000000000102": 2,
|
|
"2000000000130": 2,
|
|
"2000000000160": 2,
|
|
"2000000000202": 2,
|
|
"2000000000208": 2,
|
|
"2000000000216": 2,
|
|
"2000000000124": 2,
|
|
"2000000000152": 2,
|
|
"2000000000182": 3,
|
|
"2000000000224": 2,
|
|
"2000000000230": 2,
|
|
"2000000000238": 2,
|
|
"2000000000154": 2,
|
|
"2000000000184": 2,
|
|
"2000000000226": 2,
|
|
"2000000000232": 2,
|
|
"2000000000240": 2,
|
|
"2000000000212": 2,
|
|
"2000000000254": 2,
|
|
"2000000000260": 2,
|
|
"2000000000268": 2,
|
|
"2000000000284": 2,
|
|
"2000000000290": 2,
|
|
"2000000000298": 2,
|
|
"2000000000332": 2,
|
|
"2000000000340": 2,
|
|
"2000000000346": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5374,
|
|
"std": 0.0181,
|
|
"p5": 0.5,
|
|
"p50": 0.5469,
|
|
"p95": 0.5625,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0095,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0614,
|
|
"timestamp": 1783120474.4343703
|
|
},
|
|
{
|
|
"id": "primes_trillion_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "trillion",
|
|
"labels": [
|
|
1000000000039,
|
|
1000000000061,
|
|
1000000000063,
|
|
1000000000091,
|
|
1000000000121,
|
|
1000000000163,
|
|
1000000000169,
|
|
1000000000177,
|
|
1000000000189,
|
|
1000000000193
|
|
],
|
|
"range": [
|
|
1000000000039,
|
|
1000000000193
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 51,
|
|
"sidon_score": 0.51,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 42,
|
|
"collision_entropy": 5.5963,
|
|
"collision_histogram": {
|
|
"2000000000100": 2,
|
|
"2000000000102": 2,
|
|
"2000000000130": 2,
|
|
"2000000000160": 2,
|
|
"2000000000202": 2,
|
|
"2000000000208": 2,
|
|
"2000000000216": 2,
|
|
"2000000000228": 2,
|
|
"2000000000232": 4,
|
|
"2000000000124": 2,
|
|
"2000000000152": 2,
|
|
"2000000000182": 3,
|
|
"2000000000224": 2,
|
|
"2000000000230": 2,
|
|
"2000000000238": 2,
|
|
"2000000000250": 2,
|
|
"2000000000254": 4,
|
|
"2000000000154": 2,
|
|
"2000000000184": 2,
|
|
"2000000000226": 2,
|
|
"2000000000240": 2,
|
|
"2000000000252": 2,
|
|
"2000000000256": 2,
|
|
"2000000000212": 2,
|
|
"2000000000260": 2,
|
|
"2000000000268": 2,
|
|
"2000000000280": 2,
|
|
"2000000000284": 4,
|
|
"2000000000290": 2,
|
|
"2000000000298": 2,
|
|
"2000000000310": 2,
|
|
"2000000000314": 2,
|
|
"2000000000332": 2,
|
|
"2000000000340": 2,
|
|
"2000000000352": 2,
|
|
"2000000000356": 2,
|
|
"2000000000346": 2,
|
|
"2000000000358": 2,
|
|
"2000000000362": 2,
|
|
"2000000000366": 2,
|
|
"2000000000370": 2,
|
|
"2000000000382": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5119,
|
|
"std": 0.0177,
|
|
"p5": 0.48,
|
|
"p50": 0.51,
|
|
"p95": 0.54,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": -0.0019,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0864,
|
|
"timestamp": 1783120474.5207705
|
|
},
|
|
{
|
|
"id": "primes_quadrillion_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "quadrillion",
|
|
"labels": [
|
|
1000000000000037,
|
|
1000000000000091,
|
|
1000000000000159,
|
|
1000000000000187,
|
|
1000000000000223
|
|
],
|
|
"range": [
|
|
1000000000000037,
|
|
1000000000000223
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 15,
|
|
"sidon_score": 0.6,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.8439,
|
|
"collision_histogram": {
|
|
"2000000000000128": 2,
|
|
"2000000000000196": 2,
|
|
"2000000000000224": 2,
|
|
"2000000000000260": 2,
|
|
"2000000000000250": 2,
|
|
"2000000000000278": 2,
|
|
"2000000000000314": 2,
|
|
"2000000000000346": 2,
|
|
"2000000000000382": 2,
|
|
"2000000000000410": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5942,
|
|
"std": 0.0151,
|
|
"p5": 0.56,
|
|
"p50": 0.6,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0058,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.034,
|
|
"timestamp": 1783120474.5547967
|
|
},
|
|
{
|
|
"id": "primes_quadrillion_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "quadrillion",
|
|
"labels": [
|
|
1000000000000037,
|
|
1000000000000091,
|
|
1000000000000159,
|
|
1000000000000187,
|
|
1000000000000223,
|
|
1000000000000241
|
|
],
|
|
"range": [
|
|
1000000000000037,
|
|
1000000000000241
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 20,
|
|
"sidon_score": 0.555556,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 14,
|
|
"collision_entropy": 4.2255,
|
|
"collision_histogram": {
|
|
"2000000000000128": 2,
|
|
"2000000000000196": 2,
|
|
"2000000000000224": 2,
|
|
"2000000000000260": 2,
|
|
"2000000000000278": 4,
|
|
"2000000000000250": 2,
|
|
"2000000000000314": 2,
|
|
"2000000000000332": 2,
|
|
"2000000000000346": 2,
|
|
"2000000000000382": 2,
|
|
"2000000000000400": 2,
|
|
"2000000000000410": 2,
|
|
"2000000000000428": 2,
|
|
"2000000000000464": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5748,
|
|
"std": 0.0149,
|
|
"p5": 0.5556,
|
|
"p50": 0.5833,
|
|
"p95": 0.5833,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.524,
|
|
"effect_size": -0.0192,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0424,
|
|
"timestamp": 1783120474.5972607
|
|
},
|
|
{
|
|
"id": "primes_quadrillion_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "quadrillion",
|
|
"labels": [
|
|
1000000000000037,
|
|
1000000000000091,
|
|
1000000000000159,
|
|
1000000000000187,
|
|
1000000000000223,
|
|
1000000000000241,
|
|
1000000000000249
|
|
],
|
|
"range": [
|
|
1000000000000037,
|
|
1000000000000249
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 27,
|
|
"sidon_score": 0.55102,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 20,
|
|
"collision_entropy": 4.6759,
|
|
"collision_histogram": {
|
|
"2000000000000128": 2,
|
|
"2000000000000196": 2,
|
|
"2000000000000224": 2,
|
|
"2000000000000260": 2,
|
|
"2000000000000278": 4,
|
|
"2000000000000286": 2,
|
|
"2000000000000250": 2,
|
|
"2000000000000314": 2,
|
|
"2000000000000332": 2,
|
|
"2000000000000340": 2,
|
|
"2000000000000346": 2,
|
|
"2000000000000382": 2,
|
|
"2000000000000400": 2,
|
|
"2000000000000408": 2,
|
|
"2000000000000410": 2,
|
|
"2000000000000428": 2,
|
|
"2000000000000436": 2,
|
|
"2000000000000464": 2,
|
|
"2000000000000472": 2,
|
|
"2000000000000490": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5602,
|
|
"std": 0.0149,
|
|
"p5": 0.5306,
|
|
"p50": 0.5714,
|
|
"p95": 0.5714,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.854,
|
|
"effect_size": -0.0092,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0512,
|
|
"timestamp": 1783120474.6484785
|
|
},
|
|
{
|
|
"id": "primes_quadrillion_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "quadrillion",
|
|
"labels": [
|
|
1000000000000037,
|
|
1000000000000091,
|
|
1000000000000159,
|
|
1000000000000187,
|
|
1000000000000223,
|
|
1000000000000241,
|
|
1000000000000249,
|
|
1000000000000259
|
|
],
|
|
"range": [
|
|
1000000000000037,
|
|
1000000000000259
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 33,
|
|
"sidon_score": 0.515625,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 27,
|
|
"collision_entropy": 4.9764,
|
|
"collision_histogram": {
|
|
"2000000000000128": 2,
|
|
"2000000000000196": 2,
|
|
"2000000000000224": 2,
|
|
"2000000000000260": 2,
|
|
"2000000000000278": 4,
|
|
"2000000000000286": 2,
|
|
"2000000000000296": 2,
|
|
"2000000000000250": 2,
|
|
"2000000000000314": 2,
|
|
"2000000000000332": 2,
|
|
"2000000000000340": 2,
|
|
"2000000000000350": 2,
|
|
"2000000000000346": 2,
|
|
"2000000000000382": 2,
|
|
"2000000000000400": 2,
|
|
"2000000000000408": 2,
|
|
"2000000000000418": 2,
|
|
"2000000000000410": 2,
|
|
"2000000000000428": 2,
|
|
"2000000000000436": 2,
|
|
"2000000000000446": 3,
|
|
"2000000000000464": 2,
|
|
"2000000000000472": 2,
|
|
"2000000000000482": 3,
|
|
"2000000000000490": 2,
|
|
"2000000000000500": 2,
|
|
"2000000000000508": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5469,
|
|
"std": 0.015,
|
|
"p5": 0.5156,
|
|
"p50": 0.5469,
|
|
"p95": 0.5625,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.142,
|
|
"effect_size": -0.0313,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0624,
|
|
"timestamp": 1783120474.710894
|
|
},
|
|
{
|
|
"id": "primes_quadrillion_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "quadrillion",
|
|
"labels": [
|
|
1000000000000037,
|
|
1000000000000091,
|
|
1000000000000159,
|
|
1000000000000187,
|
|
1000000000000223,
|
|
1000000000000241,
|
|
1000000000000249,
|
|
1000000000000259,
|
|
1000000000000273,
|
|
1000000000000279
|
|
],
|
|
"range": [
|
|
1000000000000037,
|
|
1000000000000279
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 52,
|
|
"sidon_score": 0.52,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 44,
|
|
"collision_entropy": 5.6488,
|
|
"collision_histogram": {
|
|
"2000000000000128": 2,
|
|
"2000000000000196": 2,
|
|
"2000000000000224": 2,
|
|
"2000000000000260": 2,
|
|
"2000000000000278": 4,
|
|
"2000000000000286": 2,
|
|
"2000000000000296": 2,
|
|
"2000000000000310": 2,
|
|
"2000000000000316": 2,
|
|
"2000000000000250": 2,
|
|
"2000000000000314": 2,
|
|
"2000000000000332": 2,
|
|
"2000000000000340": 2,
|
|
"2000000000000350": 2,
|
|
"2000000000000364": 2,
|
|
"2000000000000370": 2,
|
|
"2000000000000346": 2,
|
|
"2000000000000382": 2,
|
|
"2000000000000400": 2,
|
|
"2000000000000408": 2,
|
|
"2000000000000418": 2,
|
|
"2000000000000432": 2,
|
|
"2000000000000438": 2,
|
|
"2000000000000410": 2,
|
|
"2000000000000428": 2,
|
|
"2000000000000436": 2,
|
|
"2000000000000446": 3,
|
|
"2000000000000460": 2,
|
|
"2000000000000466": 2,
|
|
"2000000000000464": 2,
|
|
"2000000000000472": 2,
|
|
"2000000000000482": 3,
|
|
"2000000000000496": 2,
|
|
"2000000000000502": 2,
|
|
"2000000000000490": 2,
|
|
"2000000000000500": 2,
|
|
"2000000000000514": 2,
|
|
"2000000000000520": 2,
|
|
"2000000000000508": 2,
|
|
"2000000000000522": 2,
|
|
"2000000000000528": 2,
|
|
"2000000000000532": 2,
|
|
"2000000000000538": 2,
|
|
"2000000000000552": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5257,
|
|
"std": 0.0148,
|
|
"p5": 0.5,
|
|
"p50": 0.53,
|
|
"p95": 0.55,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.88,
|
|
"effect_size": -0.0057,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0868,
|
|
"timestamp": 1783120474.7977076
|
|
},
|
|
{
|
|
"id": "primes_quintillion_s5",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 5,
|
|
"scale": "quintillion",
|
|
"labels": [
|
|
1000000000000000003,
|
|
1000000000000000009,
|
|
1000000000000000031,
|
|
1000000000000000079,
|
|
1000000000000000177
|
|
],
|
|
"range": [
|
|
1000000000000000003,
|
|
1000000000000000177
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 5,
|
|
"total_pairs": 25,
|
|
"distinct_sums": 15,
|
|
"sidon_score": 0.6,
|
|
"max_degeneracy": 2,
|
|
"collision_count": 10,
|
|
"collision_entropy": 3.8439,
|
|
"collision_histogram": {
|
|
"2000000000000000012": 2,
|
|
"2000000000000000034": 2,
|
|
"2000000000000000082": 2,
|
|
"2000000000000000180": 2,
|
|
"2000000000000000040": 2,
|
|
"2000000000000000088": 2,
|
|
"2000000000000000186": 2,
|
|
"2000000000000000110": 2,
|
|
"2000000000000000208": 2,
|
|
"2000000000000000256": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5948,
|
|
"std": 0.0144,
|
|
"p5": 0.56,
|
|
"p50": 0.6,
|
|
"p95": 0.6,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": 0.0052,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0351,
|
|
"timestamp": 1783120474.8328228
|
|
},
|
|
{
|
|
"id": "primes_quintillion_s6",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 6,
|
|
"scale": "quintillion",
|
|
"labels": [
|
|
1000000000000000003,
|
|
1000000000000000009,
|
|
1000000000000000031,
|
|
1000000000000000079,
|
|
1000000000000000177,
|
|
1000000000000000183
|
|
],
|
|
"range": [
|
|
1000000000000000003,
|
|
1000000000000000183
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 6,
|
|
"total_pairs": 36,
|
|
"distinct_sums": 20,
|
|
"sidon_score": 0.555556,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 14,
|
|
"collision_entropy": 4.2255,
|
|
"collision_histogram": {
|
|
"2000000000000000012": 2,
|
|
"2000000000000000034": 2,
|
|
"2000000000000000082": 2,
|
|
"2000000000000000180": 2,
|
|
"2000000000000000186": 4,
|
|
"2000000000000000040": 2,
|
|
"2000000000000000088": 2,
|
|
"2000000000000000192": 2,
|
|
"2000000000000000110": 2,
|
|
"2000000000000000208": 2,
|
|
"2000000000000000214": 2,
|
|
"2000000000000000256": 2,
|
|
"2000000000000000262": 2,
|
|
"2000000000000000360": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5735,
|
|
"std": 0.0159,
|
|
"p5": 0.5556,
|
|
"p50": 0.5833,
|
|
"p95": 0.5833,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.59,
|
|
"effect_size": -0.0179,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0441,
|
|
"timestamp": 1783120474.8769648
|
|
},
|
|
{
|
|
"id": "primes_quintillion_s7",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 7,
|
|
"scale": "quintillion",
|
|
"labels": [
|
|
1000000000000000003,
|
|
1000000000000000009,
|
|
1000000000000000031,
|
|
1000000000000000079,
|
|
1000000000000000177,
|
|
1000000000000000183,
|
|
1000000000000000201
|
|
],
|
|
"range": [
|
|
1000000000000000003,
|
|
1000000000000000201
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 7,
|
|
"total_pairs": 49,
|
|
"distinct_sums": 27,
|
|
"sidon_score": 0.55102,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 20,
|
|
"collision_entropy": 4.6759,
|
|
"collision_histogram": {
|
|
"2000000000000000012": 2,
|
|
"2000000000000000034": 2,
|
|
"2000000000000000082": 2,
|
|
"2000000000000000180": 2,
|
|
"2000000000000000186": 4,
|
|
"2000000000000000204": 2,
|
|
"2000000000000000040": 2,
|
|
"2000000000000000088": 2,
|
|
"2000000000000000192": 2,
|
|
"2000000000000000210": 2,
|
|
"2000000000000000110": 2,
|
|
"2000000000000000208": 2,
|
|
"2000000000000000214": 2,
|
|
"2000000000000000232": 2,
|
|
"2000000000000000256": 2,
|
|
"2000000000000000262": 2,
|
|
"2000000000000000280": 2,
|
|
"2000000000000000360": 2,
|
|
"2000000000000000378": 2,
|
|
"2000000000000000384": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5589,
|
|
"std": 0.015,
|
|
"p5": 0.5306,
|
|
"p50": 0.5714,
|
|
"p95": 0.5714,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.958,
|
|
"effect_size": -0.0079,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0527,
|
|
"timestamp": 1783120474.929676
|
|
},
|
|
{
|
|
"id": "primes_quintillion_s8",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 8,
|
|
"scale": "quintillion",
|
|
"labels": [
|
|
1000000000000000003,
|
|
1000000000000000009,
|
|
1000000000000000031,
|
|
1000000000000000079,
|
|
1000000000000000177,
|
|
1000000000000000183,
|
|
1000000000000000201,
|
|
1000000000000000283
|
|
],
|
|
"range": [
|
|
1000000000000000003,
|
|
1000000000000000283
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 8,
|
|
"total_pairs": 64,
|
|
"distinct_sums": 35,
|
|
"sidon_score": 0.546875,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 27,
|
|
"collision_entropy": 5.0625,
|
|
"collision_histogram": {
|
|
"2000000000000000012": 2,
|
|
"2000000000000000034": 2,
|
|
"2000000000000000082": 2,
|
|
"2000000000000000180": 2,
|
|
"2000000000000000186": 4,
|
|
"2000000000000000204": 2,
|
|
"2000000000000000286": 2,
|
|
"2000000000000000040": 2,
|
|
"2000000000000000088": 2,
|
|
"2000000000000000192": 2,
|
|
"2000000000000000210": 2,
|
|
"2000000000000000292": 2,
|
|
"2000000000000000110": 2,
|
|
"2000000000000000208": 2,
|
|
"2000000000000000214": 2,
|
|
"2000000000000000232": 2,
|
|
"2000000000000000314": 2,
|
|
"2000000000000000256": 2,
|
|
"2000000000000000262": 2,
|
|
"2000000000000000280": 2,
|
|
"2000000000000000362": 2,
|
|
"2000000000000000360": 2,
|
|
"2000000000000000378": 2,
|
|
"2000000000000000460": 2,
|
|
"2000000000000000384": 2,
|
|
"2000000000000000466": 2,
|
|
"2000000000000000484": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5497,
|
|
"std": 0.014,
|
|
"p5": 0.5312,
|
|
"p50": 0.5469,
|
|
"p95": 0.5625,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 1.0,
|
|
"effect_size": -0.0028,
|
|
"significant": false
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0646,
|
|
"timestamp": 1783120474.9943037
|
|
},
|
|
{
|
|
"id": "primes_quintillion_s10",
|
|
"type": "prime_set",
|
|
"inputs": {
|
|
"size": 10,
|
|
"scale": "quintillion",
|
|
"labels": [
|
|
1000000000000000003,
|
|
1000000000000000009,
|
|
1000000000000000031,
|
|
1000000000000000079,
|
|
1000000000000000177,
|
|
1000000000000000183,
|
|
1000000000000000201,
|
|
1000000000000000283,
|
|
1000000000000000381,
|
|
1000000000000000387
|
|
],
|
|
"range": [
|
|
1000000000000000003,
|
|
1000000000000000387
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"result": {
|
|
"n": 10,
|
|
"total_pairs": 100,
|
|
"distinct_sums": 49,
|
|
"sidon_score": 0.49,
|
|
"max_degeneracy": 4,
|
|
"collision_count": 39,
|
|
"collision_entropy": 5.5039,
|
|
"collision_histogram": {
|
|
"2000000000000000012": 2,
|
|
"2000000000000000034": 2,
|
|
"2000000000000000082": 2,
|
|
"2000000000000000180": 2,
|
|
"2000000000000000186": 4,
|
|
"2000000000000000204": 2,
|
|
"2000000000000000286": 2,
|
|
"2000000000000000384": 4,
|
|
"2000000000000000390": 4,
|
|
"2000000000000000040": 2,
|
|
"2000000000000000088": 2,
|
|
"2000000000000000192": 2,
|
|
"2000000000000000210": 2,
|
|
"2000000000000000292": 2,
|
|
"2000000000000000396": 2,
|
|
"2000000000000000110": 2,
|
|
"2000000000000000208": 2,
|
|
"2000000000000000214": 2,
|
|
"2000000000000000232": 2,
|
|
"2000000000000000314": 2,
|
|
"2000000000000000412": 2,
|
|
"2000000000000000418": 2,
|
|
"2000000000000000256": 2,
|
|
"2000000000000000262": 2,
|
|
"2000000000000000280": 2,
|
|
"2000000000000000362": 2,
|
|
"2000000000000000460": 4,
|
|
"2000000000000000466": 4,
|
|
"2000000000000000360": 2,
|
|
"2000000000000000378": 2,
|
|
"2000000000000000558": 2,
|
|
"2000000000000000564": 4,
|
|
"2000000000000000570": 2,
|
|
"2000000000000000484": 2,
|
|
"2000000000000000582": 2,
|
|
"2000000000000000588": 2,
|
|
"2000000000000000664": 2,
|
|
"2000000000000000670": 2,
|
|
"2000000000000000768": 2
|
|
},
|
|
"null_distribution": {
|
|
"mean": 0.5353,
|
|
"std": 0.012,
|
|
"p5": 0.51,
|
|
"p50": 0.54,
|
|
"p95": 0.55,
|
|
"trials": 1000
|
|
},
|
|
"p_value_two_sided": 0.008,
|
|
"effect_size": -0.0453,
|
|
"significant": true
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0886,
|
|
"timestamp": 1783120475.0829244
|
|
},
|
|
{
|
|
"id": "summary",
|
|
"type": "summary",
|
|
"inputs": {
|
|
"schema": "prime_sidon_explore_v2",
|
|
"claim_boundary": "prime-sidon-vs-random-null:permutation-test",
|
|
"config": {
|
|
"sizes": [
|
|
5,
|
|
6,
|
|
7,
|
|
8,
|
|
10
|
|
],
|
|
"scales": [
|
|
"small",
|
|
"kilo",
|
|
"million",
|
|
"billion",
|
|
"trillion",
|
|
"quadrillion",
|
|
"quintillion"
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"analysis": [
|
|
{
|
|
"size": 5,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 2,
|
|
"positive_effects": 5,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.52,
|
|
"kilo": 0.56,
|
|
"million": 0.6,
|
|
"billion": 0.56,
|
|
"trillion": 0.56,
|
|
"quadrillion": 0.6,
|
|
"quintillion": 0.6
|
|
}
|
|
},
|
|
{
|
|
"size": 6,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 5,
|
|
"positive_effects": 2,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.472222,
|
|
"kilo": 0.5,
|
|
"million": 0.583333,
|
|
"billion": 0.555556,
|
|
"trillion": 0.555556,
|
|
"quadrillion": 0.555556,
|
|
"quintillion": 0.555556
|
|
}
|
|
},
|
|
{
|
|
"size": 7,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 5,
|
|
"positive_effects": 2,
|
|
"score_trend_increasing": true,
|
|
"scores_by_scale": {
|
|
"small": 0.428571,
|
|
"kilo": 0.489796,
|
|
"million": 0.530612,
|
|
"billion": 0.55102,
|
|
"trillion": 0.55102,
|
|
"quadrillion": 0.55102,
|
|
"quintillion": 0.55102
|
|
}
|
|
},
|
|
{
|
|
"size": 8,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 4,
|
|
"positive_effects": 3,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.390625,
|
|
"kilo": 0.453125,
|
|
"million": 0.515625,
|
|
"billion": 0.53125,
|
|
"trillion": 0.546875,
|
|
"quadrillion": 0.515625,
|
|
"quintillion": 0.546875
|
|
}
|
|
},
|
|
{
|
|
"size": 10,
|
|
"n_significant": 1,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 7,
|
|
"positive_effects": 0,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.33,
|
|
"kilo": 0.39,
|
|
"million": 0.48,
|
|
"billion": 0.51,
|
|
"trillion": 0.51,
|
|
"quadrillion": 0.52,
|
|
"quintillion": 0.49
|
|
}
|
|
}
|
|
],
|
|
"total_test_cases": 35,
|
|
"total_significant": 1
|
|
},
|
|
"result": {
|
|
"schema": "prime_sidon_explore_v2",
|
|
"claim_boundary": "prime-sidon-vs-random-null:permutation-test",
|
|
"config": {
|
|
"sizes": [
|
|
5,
|
|
6,
|
|
7,
|
|
8,
|
|
10
|
|
],
|
|
"scales": [
|
|
"small",
|
|
"kilo",
|
|
"million",
|
|
"billion",
|
|
"trillion",
|
|
"quadrillion",
|
|
"quintillion"
|
|
],
|
|
"null_trials": 1000
|
|
},
|
|
"analysis": [
|
|
{
|
|
"size": 5,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 2,
|
|
"positive_effects": 5,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.52,
|
|
"kilo": 0.56,
|
|
"million": 0.6,
|
|
"billion": 0.56,
|
|
"trillion": 0.56,
|
|
"quadrillion": 0.6,
|
|
"quintillion": 0.6
|
|
}
|
|
},
|
|
{
|
|
"size": 6,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 5,
|
|
"positive_effects": 2,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.472222,
|
|
"kilo": 0.5,
|
|
"million": 0.583333,
|
|
"billion": 0.555556,
|
|
"trillion": 0.555556,
|
|
"quadrillion": 0.555556,
|
|
"quintillion": 0.555556
|
|
}
|
|
},
|
|
{
|
|
"size": 7,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 5,
|
|
"positive_effects": 2,
|
|
"score_trend_increasing": true,
|
|
"scores_by_scale": {
|
|
"small": 0.428571,
|
|
"kilo": 0.489796,
|
|
"million": 0.530612,
|
|
"billion": 0.55102,
|
|
"trillion": 0.55102,
|
|
"quadrillion": 0.55102,
|
|
"quintillion": 0.55102
|
|
}
|
|
},
|
|
{
|
|
"size": 8,
|
|
"n_significant": 0,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 4,
|
|
"positive_effects": 3,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.390625,
|
|
"kilo": 0.453125,
|
|
"million": 0.515625,
|
|
"billion": 0.53125,
|
|
"trillion": 0.546875,
|
|
"quadrillion": 0.515625,
|
|
"quintillion": 0.546875
|
|
}
|
|
},
|
|
{
|
|
"size": 10,
|
|
"n_significant": 1,
|
|
"n_total": 7,
|
|
"all_significant": false,
|
|
"negative_effects": 7,
|
|
"positive_effects": 0,
|
|
"score_trend_increasing": false,
|
|
"scores_by_scale": {
|
|
"small": 0.33,
|
|
"kilo": 0.39,
|
|
"million": 0.48,
|
|
"billion": 0.51,
|
|
"trillion": 0.51,
|
|
"quadrillion": 0.52,
|
|
"quintillion": 0.49
|
|
}
|
|
}
|
|
],
|
|
"total_test_cases": 35,
|
|
"total_significant": 1
|
|
},
|
|
"status": "success",
|
|
"elapsed_s": 0.0,
|
|
"timestamp": 1783120475.0830643
|
|
}
|
|
],
|
|
"edges": [
|
|
{
|
|
"from": "primes_small_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_small_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_small_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_small_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_small_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_kilo_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_kilo_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_kilo_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_kilo_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_kilo_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_million_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_million_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_million_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_million_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_million_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_billion_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_billion_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_billion_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_billion_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_billion_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_trillion_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_trillion_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_trillion_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_trillion_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_trillion_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quadrillion_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quadrillion_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quadrillion_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quadrillion_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quadrillion_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quintillion_s5",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quintillion_s6",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quintillion_s7",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quintillion_s8",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
},
|
|
{
|
|
"from": "primes_quintillion_s10",
|
|
"to": "summary",
|
|
"type": "feeds_summary"
|
|
}
|
|
]
|
|
} |