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A082890 Primes p such that (r-p)/log(p) > 5, where r is the next prime after p. 2
19609, 25471, 31397, 34061, 35617, 40289, 40639, 43331, 44293, 58831, 79699, 85933, 89689, 102701, 107377, 110359, 124367, 134513, 142993, 149629, 155921, 156157, 162143, 173359, 175141, 186481, 188029, 190409, 203461, 212701, 218287 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..31.

FORMULA

prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 5.

EXAMPLE

If p=492113 then r=492227 and (r-p)/log(p) = 114/log(492113) = 8.69799..., so 492113 is in the sequence.

MATHEMATICA

Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>5, Print[Prime[n]]], {n, 1, 50000}]

CROSSREFS

Cf. A082862, A082884-A082886, A082888, A082889, A082891.

Sequence in context: A174760 A115472 A022234 * A109569 A204665 A031681

Adjacent sequences:  A082887 A082888 A082889 * A082891 A082892 A082893

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 17 2003

STATUS

approved

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Last modified February 26 16:54 EST 2021. Contains 341632 sequences. (Running on oeis4.)