A342302 Numbers k such that A001414(k), k+A001414(k) and 2*k+A001414(k) are prime.

6, 12, 48, 90, 252, 294, 300, 420, 432, 720, 798, 864, 930, 1020, 1140, 1218, 1368, 1428, 1602, 1716, 1890, 1938, 2088, 2184, 2190, 2196, 2250, 2760, 2880, 3588, 3660, 3708, 3774, 3810, 4452, 4710, 4902, 5280, 5340, 5412, 5754, 5850, 6174, 6240, 6462, 6768, 7014, 7182, 7632, 8322, 8820, 9144

Offset: 1

Author

J. M. Bergot and Robert Israel, Apr 02 2021

Keywords

• nonn

Comments

Numbers k such that A343016(k) >= 3.

All terms are divisible by 6.

Examples

			a(3) = 48 = 2^4*3 is a term because A001414(48) = 4*2+3 = 11 and 11, 48+11 = 59 and 2*48+11 = 107 are prime.
		

Links

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

Crossrefs

Cf. A001414, A343016.

Programs

Maple

filter:= proc(n) local s,t;
s:= add(t[1]*t[2], t=ifactors(n)[2]);
isprime(s) and isprime(n+s) and isprime(2*n+s)
end proc;
select(filter, [seq(i,i=6..10000,6)]);