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%I #13 Feb 28 2023 05:52:17
%S 211,1847,5623,30631,81509,82129,162209,173429,404671,542683,544367,
%T 1101071,1444411,2238931,5845309,6752747,6958801,11981587,13626407,
%U 49269739,83751287,147684323,166726561,378044179,895858267,1872852203
%N Increasing peaks in the prime gap sequence A001632.
%C a(n) is the larger of the two consecutive primes having a late occurring prime gap g = p_k+1 - p_k. All even gaps smaller than g occur at a smaller prime. Also, the next even gap g+2 also occurs earlier.
%D P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144.
%H Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html">First occurrence prime gaps</a> [For local copy see A000101]
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeGaps.html">Prime Gaps</a>.
%e 1847 is in this list because the previous prime is 1831, giving a
%e prime gap of 16. All even gaps less than 16 occur before this (for
%e smaller primes) and the next even gap, 18, also occurs earlier.
%Y Cf. A000230, A001223, A001632, A038664, A086977, A086979, A086980, A002386.
%K nonn
%O 1,1
%A _Harry J. Smith_, Jul 26 2003
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