cp's OEIS Frontend

A294132 Sorted list of prime factors of numbers of the form 3^(2^m) + 2^(2^m) with m >= 0.

%I A294132 #17 Jul 29 2019 11:52:33
%S A294132 5,13,17,97,257,401,769,1153,3041,14177,65537,286721,1810433,2752513,
%T A294132 4043777,7340033,13631489,23068673,72222721,319291393,348061697,
%U A294132 625483777,3937533953,54498164737,106216554497,121899667073,151597350913,342456532993
%N A294132 Sorted list of prime factors of numbers of the form 3^(2^m) + 2^(2^m) with m >= 0.
%C A294132 Primes p such that the multiplicative order of 3/2 (mod p) is a power of 2.
%H A294132 Arkadiusz Wesolowski, <a href="/A294132/b294132.txt">Table of n, a(n) for n = 1..48</a>
%H A294132 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-98-00891-6">Factors of generalized Fermat numbers</a>, Math. Comp. 67 (1998), no. 221, pp. 441-446.
%H A294132 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-05-01816-8">Table errata to “Factors of generalized Fermat numbers”</a>, Math. Comp. 74 (2005), no. 252, p. 2099.
%H A294132 Anders Björn and Hans Riesel, <a href="http://dx.doi.org/10.1090/S0025-5718-10-02371-9">Table errata 2 to "Factors of generalized Fermat numbers"</a>, Math. Comp. 80 (2011), pp. 1865-1866.
%e A294132 The first 5 such numbers are 5, 13, 97, 6817, 43112257, 1853024483819137. Their prime factorizations are (5), (13), (97), (17) (401), (14177) (3041), (1153) (1607133116929). - _N. J. A. Sloane_, Oct 29 2017
%o A294132 (PARI) print1(5, ", "); forprime(p=13, 342456532993, z=znorder(Mod(3/2, p)); if(2^ispower(z)==z, print1(p, ", ")));
%Y A294132 Cf. A050244, A094499, A082101, A294133, A294134, A294135, A294136.
%K A294132 nonn
%O A294132 1,1
%A A294132 _Arkadiusz Wesolowski_, Oct 23 2017