A214017 Poulet numbers (2-pseudoprimes) of the form 144*n^2 + 222*n + 85.

1105, 2047, 3277, 6601, 13747, 16705, 19951, 31417, 74665, 88357, 275887, 514447, 604117, 642001, 741751, 916327, 1293337, 1433407, 1520905, 2205967, 2387797, 2976487, 3316951, 3539101, 4005001, 4101637, 4863127, 5575501, 8209657

Offset

1,1

Comments

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.

Conjecture: There are infinite many Poulet numbers of the form 144*n^2 + 222*n + 85.

A214016 and A214017 represent the only potentially infinite sequences of Poulet numbers known to the author.

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Poulet Number

Prog

(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

Crossrefs

Cf. A001567, A214016.

Sequence in context: A159781 A264498 A102924 * A083738 A265237 A355305

Adjacent sequences: A214014 A214015 A214016 * A214018 A214019 A214020

Keyword

nonn

Author

Marius Coman, Jul 01 2012

Extensions

Corrected by Charles R Greathouse IV, Dec 07 2014

Status

approved