A086980 Late occurring prime gaps in the prime gap sequence A001223.

12, 16, 32, 38, 46, 56, 66, 70, 74, 80, 88, 94, 102, 108, 116, 124, 134, 144, 150, 158, 166, 186, 194, 200, 228, 256, 264, 278, 294, 298, 316, 328, 334, 362, 370, 388, 422, 436, 442, 452, 466, 472, 482, 488, 510, 520, 536, 568, 576, 580, 590, 608, 628, 632

Offset

1,1

Comments

a(n) is the gap g = p_k+1 - p_k between consecutive primes with all even gaps smaller than g occurring at a smaller prime and the next even gap g+2 also occurring earlier.

References

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

Links

Table of n, a(n) for n=1..54.

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

Eric Weisstein's World of Mathematics, Prime Gaps

Example

16 is in this list because the first time a prime gap of 16 occurs
is between consecutive primes 1831 and 1847. All even prime gaps
less than 16 occur for a smaller prime. The next even prime gap of
18 also occurs earlier.

Crossrefs

Cf. A000230, A001223, A001632, A038664, A086977, A086978, A086979, A002386.

Sequence in context: A109240 A020740 A344021 * A256934 A343153 A360619

Adjacent sequences: A086977 A086978 A086979 * A086981 A086982 A086983

Keyword

nonn

Author

Harry J. Smith, Jul 26 2003

Status

approved