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%I #12 Jun 14 2022 14:12:14
%S 1105,2047,3277,6601,13747,16705,19951,31417,74665,88357,275887,
%T 514447,604117,642001,741751,916327,1293337,1433407,1520905,2205967,
%U 2387797,2976487,3316951,3539101,4005001,4101637,4863127,5575501,8209657
%N Poulet numbers (2-pseudoprimes) of the form 144*n^2 + 222*n + 85.
%C Poulet numbers were obtained for the following values of n: 2, 3, 4, 6, 9, 10, 11, 14, 22, 43, 59, 64, 66, 71, 79, 94, 99, 102, 123, 128, 143, 151, 156, 166, 168, 183, 196, 238.
%C Conjecture: There are infinite many Poulet numbers of the form 144*n^2 + 222*n + 85.
%C A214016 and A214017 represent the only potentially infinite sequences of Poulet numbers known to the author.
%H Charles R Greathouse IV, <a href="/A214017/b214017.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) for(n=2,1e9,t=144*n^2 + 222*n + 85; if(Mod(2,t)^t==2, print1(t", "))) \\ _Charles R Greathouse IV_, Dec 07 2014
%Y Cf. A001567, A214016.
%K nonn
%O 1,1
%A _Marius Coman_, Jul 01 2012
%E Corrected by _Charles R Greathouse IV_, Dec 07 2014
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