A116612 Values of n such that p(2n+1) mod 12 = 1, where p(j) denotes the j-th prime.

10, 12, 14, 18, 26, 29, 32, 60, 63, 72, 73, 75, 79, 84, 91, 93, 94, 95, 98, 101, 105, 110, 115, 118, 125, 128, 131, 135, 136, 137, 139, 143, 147, 150, 159, 165, 168, 169, 170, 173, 177, 180, 184, 187, 195, 200, 203, 205, 207, 212, 215, 217, 218, 221, 222, 224

Offset: 1

Author

Roger L. Bagula, Mar 29 2006

Keywords

• nonn

Examples

			29 is in the sequence because the 59th prime is 277 and 277 mod 12=1.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A116602, A116610, A116613-A116617, A160591-A160594. [M. F. Hasler, May 22 2009]

Programs

Maple

a:=proc(n) if ithprime(2*n+1) mod 12 = 1 then n else fi end: seq(a(n),n=0..250);

Mathematica

Select[Range[0, 2000], Mod[Prime[2*# + 1], 12] == 1 &] (* G. C. Greubel, Oct 27 2017 *)

PARI

for(n=1,999, prime(2*n+1)%12==1 & print1(n",")) \\ M. F. Hasler, May 22 2009

Formula

A116612 = integer part of 1/2 * { odd terms in A160594 = A000720(A068228) }. - M. F. Hasler, May 22 2009

Extensions

Edited by N. J. A. Sloane, Apr 05 2006