The On-Line Encyclopedia of Integer Sequences (OEIS)

A082890 revision #5

A082890

Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.

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

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OFFSET

1,1

LINKS

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

Amiram Eldar, Table of n, a(n) for n = 1..10000

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,changed

AUTHOR

Labos Elemer, Apr 17 2003

STATUS

editing