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 A269426 Primes 8k + 1 at the end of the maximal gaps in A269424. 2
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Subsequence of A007519. A269424 lists the corresponding record gap sizes. See more comments there. LINKS Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019. EXAMPLE 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. PROG (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) CROSSREFS Cf. A007519, A269424, A269425. Sequence in context: A214643 A142038 A213047 * A224671 A044107 A044488 Adjacent sequences: A269423 A269424 A269425 * A269427 A269428 A269429 KEYWORD nonn AUTHOR Alexei Kourbatov, Feb 25 2016 STATUS approved

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Last modified November 26 17:30 EST 2022. Contains 358362 sequences. (Running on oeis4.)