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%I #10 Dec 08 2014 11:43:17
%S 2701,18721,49141,93961,226801,314821,534061,665281,1537381,1755001,
%T 1987021,2233441,3059101,3363121,4014361,5489641,6313681,8134561,
%U 9131401,10185841,13073941,13694761,18443701,21474181,27331921,30058381,30996001,32914441,34890481
%N Poulet numbers (2-pseudoprimes) of the form 7200*n^2 + 8820*n + 2701.
%C Poulet numbers were obtained for the following values of n: 0, 1, 2, 3, 5, 6, 8, 9, 14, 15, 16, 17, 20, 21, 23, 27, 29, 33, 35, 37, 42, 43, 50, 54, 61, 64, 65, 67, 69.
%C Conjecture: There are infinitely many Poulet numbers of the form 7200*n^2 + 8820*n + 2701.
%C A214016 and A214017 represent the only potentially infinite sequences of Poulet numbers known to the author.
%H Charles R Greathouse IV, <a href="/A214016/b214016.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PouletNumber.html">Poulet Number</a>
%o (PARI) forstep(n=0,1e4,60,t=2*n^2+147*n+2701; if(Mod(2,t)^t==2, print1(t", "))) \\ _Charles R Greathouse IV_, Dec 08 2014
%Y Cf. A001567, A214017.
%K nonn,easy
%O 1,1
%A _Marius Coman_, Jul 01 2012
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