A355577 Primes p such that 5*p+6, 5*p+12, 5*p+18 and 5*p+24 are all primes.

7, 11, 127, 347, 659, 1019, 2689, 4663, 4817, 5233, 8387, 13997, 18257, 19051, 19181, 23909, 24109, 28211, 34483, 38287, 39761, 41203, 44647, 45767, 51829, 57089, 64019, 70207, 72671, 73091, 96821, 100237, 101021, 101119, 102607, 102967, 104231, 120779, 121171, 126851, 127541, 130547, 135727

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 127 is a term because 127, 5*127+6 = 641, 5*p+12 = 647, 5*p+18 = 653 and 5*p+24 = 659 are all prime.

Maple

select(p -> andmap(isprime, [p, 5*p+6, 5*p+12, 5*p+18, 5*p+24]), [seq(i, i=3..200000, 2)]);

Mathematica

Select[Prime[Range[13000]], And @@ PrimeQ[5*# + 6*Range[4]] &] (* Amiram Eldar, Jul 08 2022 *)

Crossrefs

Sequence in context: A107187 A132958 A371485 * A241189 A057737 A130704

Adjacent sequences: A355574 A355575 A355576 * A355578 A355579 A355580

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Jul 08 2022

Status

approved