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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.
2
3, 7, 31, 1979, 41203, 752251, 5647457, 32465047, 245333233, 245333213, 27797667517, 196559847120517, 3040284075731561, 253253149671986983
OFFSET
1,1
LINKS
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
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