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

Author

Vasily Danilov, Oct 08 2015

Keywords

• nonn
• more

Examples

			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.
		

Links

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

Crossrefs

Cf. A016045.

Extensions

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

a(14) from Dmitry Petukhov, Jul 09 2016