A294135 Sorted list of prime factors of numbers of the form 9^(2^m) + 2^(2^m) with m >= 0.

5, 11, 17, 257, 449, 1601, 6577, 20353, 25601, 40961, 65537, 95873, 163841, 176129, 1179649, 8452097, 13631489, 26419201, 32310529, 38031361, 56867009, 59637761, 144310273, 480865793, 697434113, 1572864001, 2013265921, 7547650049, 62872289281, 483049603073

Offset

1,1

Comments

Primes p other than 7 such that the multiplicative order of 9/2 (mod p) is a power of 2.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..43

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, ", "11, ", "); forprime(p=17, 483049603073, z=znorder(Mod(9/2, p)); if(2^ispower(z)==z, print1(p, ", ")));

Crossrefs

Cf. A294132, A294133, A294134, A294136.

Sequence in context: A185365 A282669 A271655 * A265851 A326716 A118122

Adjacent sequences: A294132 A294133 A294134 * A294136 A294137 A294138

Keyword

nonn

Author

Arkadiusz Wesolowski, Oct 23 2017

Status

approved