A116662 Numbers k such that prime(k) == 15 (mod k).

1, 2, 4, 13, 14, 41, 46, 446, 1066, 16054, 251713, 251738, 251764, 251789, 27067052, 27067124, 465769808, 465769816, 1208198606, 1208198632, 145935689368

Offset: 1

Author

Zak Seidov, Feb 21 2006

Keywords

• more
• nonn

Comments

Starting with a(6), positions of 15 in A004648. - corrected by Eric M. Schmidt, Feb 05 2013

Crossrefs

Cf. A004648; A023143-A023152, A116657, A116677, A116658, A116659, prime(n) == m (mod n), m=1-10,11,12,13,14.

Programs

Python

from gmpy2 import next_prime
def A116662(max) :
    terms = []
    p = 2
    for n in range(1, max+1) :
        if (p - 15) % n == 0 : terms.append(n)
        p = next_prime(p)
    return terms # Eric M. Schmidt, Feb 05 2013

Extensions

More terms from Ryan Propper, Jul 21 2006

a(21) from Donovan Johnson, Dec 07 2008

Edited by and first five terms inserted by Eric M. Schmidt, Feb 05 2013