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

1,1

Comments

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

All terms are divisible by 6.

Links

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

Example

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.

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)]);

Crossrefs

Cf. A001414, A343016.

Sequence in context: A052904 A106692 A032470 * A018809 A226882 A214903

Adjacent sequences: A342299 A342300 A342301 * A342303 A342304 A342305

Keyword

nonn

Author

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

Status

approved