A086978 Increasing peaks in the prime gap sequence A001632.

211, 1847, 5623, 30631, 81509, 82129, 162209, 173429, 404671, 542683, 544367, 1101071, 1444411, 2238931, 5845309, 6752747, 6958801, 11981587, 13626407, 49269739, 83751287, 147684323, 166726561, 378044179, 895858267, 1872852203

Offset

1,1

Comments

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.

References

P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144.

Links

Table of n, a(n) for n=1..26.

Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]

Eric Weisstein's World of Mathematics, Prime Gaps.

Example

1847 is in this list because the previous prime is 1831, giving a
prime gap of 16. All even gaps less than 16 occur before this (for
smaller primes) and the next even gap, 18, also occurs earlier.

Crossrefs

Cf. A000230, A001223, A001632, A038664, A086977, A086979, A086980, A002386.

Sequence in context: A053072 A303092 A361701 * A108829 A111480 A291075

Adjacent sequences: A086975 A086976 A086977 * A086979 A086980 A086981

Keyword

nonn

Author

Harry J. Smith, Jul 26 2003

Status

approved