A268985 Primes 10k + 1 preceding the maximal gaps in A268984.

11, 71, 331, 1621, 2861, 4271, 10891, 38011, 57331, 137491, 349471, 693061, 869551, 1118441, 1409851, 3826001, 5376551, 7929491, 11066921, 13167251, 13943351, 18719791, 31857151, 51443891, 68447201, 104383781, 149054291, 180666691

Offset

1,1

Comments

Subsequence of A030430.

A268984 lists the corresponding record gap sizes. See more comments there.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..39

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 10k + 1 are 11 and 31, so a(1)=11. The next primes of this form are 41, 61, 71; the gaps 41-31, 61-41, 71-61 are not records so nothing is added to the sequence. The next prime of this form is 101 and the gap 101-71=30 is a new record, so a(2)=71.

Prog

(PARI) re=0; s=11; forprime(p=31, 1e8, if(p%10!=1, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

Crossrefs

Cf. A030430, A268984, A268986.

Sequence in context: A233416 A174822 A201790 * A211386 A049350 A164559

Adjacent sequences: A268982 A268983 A268984 * A268986 A268987 A268988

Keyword

nonn

Author

Alexei Kourbatov, Feb 16 2016

Status

approved