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

1,1

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

Formula

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

Prog

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

Crossrefs

Cf. A122091, A122072.

Sequence in context: A355485 A075037 A134116 * A075038 A082889 A109568

Adjacent sequences: A122387 A122388 A122389 * A122391 A122392 A122393

Keyword

nonn

Author

Zak Seidov, Oct 19 2006

Extensions

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

Status

approved