A269426 Primes 8k + 1 at the end of the maximal gaps in A269424.

41, 73, 193, 521, 761, 2273, 6073, 8513, 10169, 22697, 37889, 73361, 80153, 221201, 351913, 1879601, 2321881, 4259641, 6395201, 8212553, 9619081, 11282657, 36087833, 59502977, 72496049, 236886401, 556953841, 809098513, 830450161, 888024649, 2420631793, 3845317297, 13243533449, 17279669993, 29704278649, 49624610521, 59974491817, 107046777121, 158191301329

Offset: 1

Author

Alexei Kourbatov, Feb 25 2016

Keywords

• nonn

Comments

Subsequence of A007519.

A269424 lists the corresponding record gap sizes. See more comments there.

Examples

			The first two primes of the form 8k + 1 are 17 and 41, so a(1)=41. The next prime of this form is 73 and the gap 73-41=32 is a new record, so a(2)=73.
		

Links

• Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Crossrefs

Cf. A007519, A269424, A269425.

Programs

PARI

re=0; s=17; forprime(p=41, 1e8, if(p%8!=1, next); g=p-s; if(g>re, re=g; print1(p", ")); s=p)