A134116 Primes p such that q-p = 34, where q is the next prime after p.

1327, 8467, 9973, 11743, 12163, 17257, 19087, 20443, 21433, 29683, 32653, 34549, 37747, 41299, 47743, 49957, 54217, 59887, 61057, 61297, 64237, 73483, 74653, 77383, 78367, 80863, 85159, 88177, 88609, 89329, 91639, 93337, 97039, 100069

Offset: 1

Author

Rick L. Shepherd, Oct 08 2007

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
• Index entries for primes, gaps between

Crossrefs

Cf. A126784, A134117.

Programs

Mathematica

Select[Prime[Range[10^4]],NextPrime[#]-#==34&] (* James C. McMahon, Apr 05 2025 *)

PARI

is(n)=nextprime(n+1)==n+34 && isprime(n) \\ Charles R Greathouse IV, Sep 14 2015

Formula

a(n) >> n log^2 n. - Charles R Greathouse IV, Sep 14 2015