A116496 Numbers k such that difference between k-th prime and next prime is 100.

33608, 66762, 100978, 124508, 125049, 172619, 202315, 233905, 256422, 286306, 306691, 320569, 326694, 334412, 362134, 374275, 382591, 395155, 414640, 428335, 440270, 467181, 493060, 511698, 518536, 555912, 561795, 567479, 590434, 592581

Offset: 1

Author

Zak Seidov, Feb 18 2006

Keywords

• nonn

Examples

			p(33609) - p(33608) = 396833 - 396733 = 100.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• Index entries for primes, gaps between

Crossrefs

Cf. A050434, A116493, A116495, A116497.

Programs

Mathematica

PrimePi/@Transpose[Select[Partition[Prime[Range[600000]],2,1],#[[2]]-#[[1]] == 100&]][[1]] (* Harvey P. Dale, Sep 22 2013 *)

PARI

lista(nn) = {my(i=0, q=2); forprime(p=3, nn, i++; if(p-q==100, print1(i, ", ")); q=p); } \\ Jinyuan Wang, Jan 29 2020

Formula

A050434(n) = prime(a(n)). - R. J. Mathar, Apr 30 2024