A263049 a(n) = smallest prime p(k) such that the gaps between the primes p(k), p(k+1), p(k+2), ..., p(k+n) are 2n, 2n-2, ... 6, 4, 2.

3, 7, 31, 1979, 41203, 752251, 5647457, 32465047, 245333233, 245333213, 27797667517, 196559847120517, 3040284075731561, 253253149671986983

Offset

1,1

Links

Dmitry Petukhov, Table of n, a(n) for n = 1..14

Example

Consider the consecutive primes 1979, 1987, 1993, 1997, 1999. The gaps are 8, 6, 4, 2, and this does not occur for any prime smaller than 1979, so a(4)=1979.

Crossrefs

Cf. A016045.

Sequence in context: A123212 A213437 A070231 * A167917 A249761 A163081

Adjacent sequences: A263046 A263047 A263048 * A263050 A263051 A263052

Keyword

nonn,more

Author

Vasily Danilov, Oct 08 2015

Extensions

a(12)-a(13) from Dmitry Petukhov, Oct 08 2015

a(14) from Dmitry Petukhov, Jul 09 2016

Status

approved