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A273950 Prime factors of generalized Fermat numbers of the form 12^(2^m) + 1 with m >= 0. 11

%I

%S 5,13,17,29,89,97,233,257,769,36097,40961,65537,81281,153953,163841,

%T 260753,1724417,4550657,5767169,8253953,11304961,13631489,21495809,

%U 69619841,77651969,147849217,158334977,159522817,1711276033,6528575489,27286044673,52613349377

%N Prime factors of generalized Fermat numbers of the form 12^(2^m) + 1 with m >= 0.

%C Primes p such that the multiplicative order of 12 (mod p) is a power of 2.

%D Hans Riesel, Common prime factors of the numbers A_n=a^(2^n)+1, BIT 9 (1969), pp. 264-269.

%H Arkadiusz Wesolowski, <a href="/A273950/b273950.txt">Table of n, a(n) for n = 1..44</a>

%H 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 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 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.

%H C. K. Caldwell, Top Twenty page, <a href="http://primes.utm.edu/top20/page.php?id=11">Generalized Fermat Divisors (base=12)</a>

%H Harvey Dubner and Wilfrid Keller, <a href="http://dx.doi.org/10.1090/S0025-5718-1995-1270618-1">Factors of Generalized Fermat Numbers</a>, Math. Comp. 64 (1995), no. 209, pp. 397-405.

%H OEIS Wiki, <a href="/wiki/Generalized_Fermat_numbers">Generalized Fermat numbers</a>

%t Select[Prime@Range[2, 10^5], IntegerQ@Log[2, MultiplicativeOrder[12, #]] &]

%Y Cf. A023394, A072982, A152585, A268660, A268664, A273945 (base 3), A273946 (base 5), A273947 (base 6), A273948 (base 7), A273949 (base 11).

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Jun 05 2016

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Last modified September 23 15:43 EDT 2020. Contains 337310 sequences. (Running on oeis4.)