A269235 Primes 10k + 3 preceding the maximal gaps in A269234.

3, 23, 113, 883, 3083, 4153, 6373, 8123, 9973, 13183, 13313, 27283, 155893, 1046413, 1086923, 4343363, 5648893, 9291643, 18819043, 32015143, 38024003, 53663903, 90420223, 133125203, 169727083, 228590023, 284825263, 318827423, 431958913, 949477663, 1054255883, 2343368663, 7392448253, 15207878993, 28072101283

Offset

1,1

Comments

Subsequence of A030431.

A269234 lists the corresponding record gap sizes. See more comments there.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..35

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 + 3 are 3 and 13, so a(1)=3. The next prime of this form is 23; the gap 23-13 is not a record so nothing is added to the sequence. The next prime of this form is 43 and the gap 43-23=20 is a new record, so a(2)=23.

Prog

(PARI) re=0; s=3; forprime(p=13, 1e8, if(p%10!=3, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

Crossrefs

Cf. A030431, A269234, A269236.

Sequence in context: A197557 A225671 A267816 * A245752 A290367 A006557

Adjacent sequences: A269232 A269233 A269234 * A269236 A269237 A269238

Keyword

nonn

Author

Alexei Kourbatov, Feb 20 2016

Status

approved