A358343 Primes p such that p + 6, p + 12, p + 18, (p+4)/5, (p+4)/5 + 6, (p+4)/5 + 12 and (p+4)/5 + 18 are also prime.

213724201, 336987901, 791091901, 1940820901, 2454494551, 2525191051, 2675901751, 3490984201, 3571597951, 3702692551, 4045565851, 4531570951, 5698472701, 5928161251, 5953041001, 6589503751, 7073836201, 7360771801, 7811308951, 8282895451, 10242069451, 11049315751, 12392801251, 13062696001

Offset

1,1

Comments

Terms p of A023271 such that (p+4)/5 is also in A023271.

All terms == 901 (mod 1050).

Links

Robert Israel, Table of n, a(n) for n = 1..213

Example

a(3) = 791091901 is a term because p = 791091901, p + 6 = 791091907, p + 12 = 791091913, p + 18 = 791091919, (p+4)/5 = 158218381, (p+4)/5 + 6 = 158218387, (p+4)/5 + 12 = 158218393, and (p+4)/5 + 18 = 158218399 are all prime.

Maple

filter:= p -> andmap(isprime, [p, p+6, p+12, p+18, (p+4)/5, (p+4)/5 + 6,
(p+4)/5 + 12, (p+4)/5 + 18]):
select(filter, [seq(p, p = 901 .. 2*10^10, 1050)]);

Crossrefs

Cf. A023271.

Sequence in context: A064588 A202572 A198169 * A017288 A017396 A017660

Adjacent sequences: A358340 A358341 A358342 * A358344 A358345 A358346

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Nov 10 2022

Status

approved