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

Author

Harry J. Smith, Jul 26 2003

Keywords

• nonn

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.

Examples

			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.
		

References

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

Links

• Thomas R. Nicely, First occurrence prime gaps [For local copy see A000101]
• Eric Weisstein's World of Mathematics, Prime Gaps

Crossrefs

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