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

Author

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

Keywords

• nonn

Comments

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

All terms == 901 (mod 1050).

Examples

			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.
		

Links

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

Crossrefs

Cf. A023271.

Programs

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)]);