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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

%I #36 Jul 10 2016 14:16:01

%S 3,7,31,1979,41203,752251,5647457,32465047,245333233,245333213,

%T 27797667517,196559847120517,3040284075731561,253253149671986983

%N 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.

%H Dmitry Petukhov, <a href="/A263049/b263049.txt">Table of n, a(n) for n = 1..14</a>

%e 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.

%Y Cf. A016045.

%K nonn,more

%O 1,1

%A _Vasily Danilov_, Oct 08 2015

%E a(12)-a(13) from _Dmitry Petukhov_, Oct 08 2015

%E a(14) from _Dmitry Petukhov_, Jul 09 2016

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Last modified September 5 08:10 EDT 2024. Contains 375696 sequences. (Running on oeis4.)