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Pseudoprimes to base 44.
1

%I #18 Jun 13 2018 09:16:33

%S 9,15,45,65,117,129,215,301,369,387,585,645,703,745,1017,1035,1105,

%T 1341,1677,1729,1921,1935,1937,1981,2047,2193,2465,2665,2821,3585,

%U 3913,4005,4097,4417,4633,5289,6273,6533,6601,6705,7281,7345,8385,8695,8911,9331

%N Pseudoprimes to base 44.

%C Composite numbers n such that 44^(n-1) == 1 (mod n). - _Michel Lagneau_, Feb 18 2012

%H T. D. Noe, <a href="/A020172/b020172.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Ps#pseudoprimes">Index entries for sequences related to pseudoprimes</a>

%t base = 44; t = {}; n = 1; While[Length[t] < 100, n++; If[! PrimeQ[n] && PowerMod[base, n-1, n] == 1, AppendTo[t, n]]]; t (* _T. D. Noe_, Feb 21 2012 *)

%Y Cf. A001567 (pseudoprimes to base 2).

%K nonn

%O 1,1

%A _David W. Wilson_