A240716 Both 1 + 6 n and 6 + 35 n are prime.

1, 5, 7, 13, 17, 23, 25, 35, 37, 55, 61, 91, 95, 101, 121, 131, 137, 143, 161, 175, 187, 221, 233, 245, 257, 271, 311, 335, 391, 395, 397, 443, 445, 451, 461, 475, 511, 527, 545, 557, 577, 583, 641, 653, 683, 685, 703, 737, 761, 773, 787, 797, 805

Offset

1,2

Comments

The consecutive integers 35 + 210 a(n) and 36 + 210 a(n) are both products of three primes (distinct if n > 1).

Links

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

Maple

A240716 := select(t -> andmap(isprime, [1+6*t, 6+35*t]), [$1..N]); # Robert Israel, Apr 10 2014

Mathematica

Select[Range[1000], PrimeQ[6 # + 1] && PrimeQ[35 # + 6] &] (* Vincenzo Librandi, Jul 01 2014 *)

Prog

(Magma) [n: n in [0..1000] | IsPrime(6*n+1) and IsPrime(35*n+6)]; // Vincenzo Librandi, Jul 01 2014

Crossrefs

Cf. A215217.

Sequence in context: A314322 A028311 A335075 * A216773 A216745 A087155

Adjacent sequences: A240713 A240714 A240715 * A240717 A240718 A240719

Keyword

nonn

Author

Robert Israel, Apr 10 2014

Status

approved