A122390 Numbers appearing in A122072 at least four times.

1327, 8467, 10799, 14107, 15683, 16141, 17257, 19087, 19333, 19609, 20809, 22307, 22573, 22817, 25261, 25471, 28229, 30593, 31397, 31907, 33247, 34061, 34549, 34981, 35617, 35677, 36389, 37747, 37907, 38393, 38461, 38501, 39251, 40289, 40387, 40639, 41299, 43331, 43801

Offset: 1

Author

Zak Seidov, Oct 19 2006

Keywords

• nonn

Comments

19609 is first term appearing in A122072 six times.

Necessary condition: p is followed by a prime gap of at least 32. Sufficient condition: p is followed by a prime gap of at least 40. [Charles R Greathouse IV, Feb 26 2012]

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A122091, A122072.

Programs

PARI

p=2;forprime(q=3,1e5,if(q\10-p\10>3,print1(p", "));p=q) \\ Charles R Greathouse IV, Feb 26 2012

Formula

a(n) ~ n log n since this sequence contains almost all primes. [Charles R Greathouse IV, Feb 26 2012]

Extensions

a(11)-a(39) from Charles R Greathouse IV, Feb 26 2012