A242515 Numbers n such that 12n+1, 12n+5, 12n+7, 12n+11 are all composite numbers.

44, 70, 72, 74, 105, 111, 112, 132, 137, 140, 147, 154, 163, 170, 182, 193, 202, 207, 209, 235, 245, 248, 252, 258, 262, 273, 285, 312, 315, 317, 322, 329, 331, 336, 345, 347, 349, 359, 369, 372, 377, 384, 392, 397, 403, 404, 422, 427, 437

Offset: 1

Author

Lear Young, May 16 2014

Keywords

• nonn

Examples

			a(1) = 44; 44*12+1=529, 44*12+5=533, 44*12+7=535, 44*12+11=539, and 529, 533, 535 and 539 are all composites.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..2000

Crossrefs

Subsequence of A153383.

Programs

Mathematica

Select[Range[500],AllTrue[12#+{1,5,7,11},CompositeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Dec 13 2018 *)

PARI

for(i=0,1000,if(!isprime(12*i+1) && !isprime(12*i+5) && !isprime(12*i+7) && !isprime(12*i+11),print1(i", "))) \\ Lear Young, May 16 2014