A294136 Sorted list of prime factors of numbers of the form 11^(2^m) + 2^(2^m) with m >= 0.

5, 13, 17, 241, 257, 12289, 14657, 26113, 52321, 65537, 98561, 235009, 697409, 23068673, 558205057, 755184641, 3433910273, 5557248001, 17343447041, 65886344833, 442483095553, 689863229441, 8142833614849, 10737426890753, 11598906596353, 57966757675009

Offset

1,1

Comments

Primes p other than 3 such that the multiplicative order of 11/2 (mod p) is a power of 2.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..31

Anders Björn and Hans Riesel, Factors of generalized Fermat numbers, Math. Comp. 67 (1998), no. 221, pp. 441-446.

Anders Björn and Hans Riesel, Table errata to “Factors of generalized Fermat numbers”, Math. Comp. 74 (2005), no. 252, p. 2099.

Anders Björn and Hans Riesel, Table errata 2 to "Factors of generalized Fermat numbers", Math. Comp. 80 (2011), pp. 1865-1866.

Prog

(PARI) print1(5, ", "13, ", "); forprime(p=17, 57966757675009, z=znorder(Mod(11/2, p)); if(2^ispower(z)==z, print1(p, ", ")));

Crossrefs

Cf. A294132, A294133, A294134, A294135.

Sequence in context: A051900 A275800 A347475 * A120062 A081769 A188030

Adjacent sequences: A294133 A294134 A294135 * A294137 A294138 A294139

Keyword

nonn

Author

Arkadiusz Wesolowski, Oct 23 2017

Status

approved