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Numbers 2n+1 for which A002326(n) are record values of A002326.
4

%I #9 Sep 12 2019 12:29:16

%S 1,3,5,9,11,13,19,25,29,37,53,59,61,67,83,101,107,121,131,139,149,163,

%T 173,179,181,197,211,227,269,293,317,347,349,373,379,389,419,421,443,

%U 461,467,491,509,523,541,547,557,563,587,613,619,653,659,661,677,701

%N Numbers 2n+1 for which A002326(n) are record values of A002326.

%C Question: does this sequence contain infinitely many composite numbers?

%C Nonprimes in the sequence are 1, 9, 25, 121, 1369,... (no more up to at least 100000). [_R. J. Mathar_, Jul 14 2010]

%H Amiram Eldar, <a href="/A139099/b139099.txt">Table of n, a(n) for n = 1..10000</a>

%t a[n_] := MultiplicativeOrder[2, 2 n + 1]; s = {}; am = 0; Do[a1 = a[n]; If[a1 > am, am = a1; AppendTo[s, 2 n + 1]], {n, 0, 360}]; s (* _Amiram Eldar_, Sep 12 2019 *)

%Y Cf. A002326, A001122.

%K nonn

%O 1,2

%A _Vladimir Shevelev_, Jun 05 2008

%E More terms from _R. J. Mathar_, Jul 14 2010