A262053 Euler pseudoprimes to base 6: composite integers such that abs(6^((n - 1)/2)) == 1 mod n.

185, 217, 301, 481, 1111, 1261, 1333, 1729, 2465, 2701, 3421, 3565, 3589, 3913, 5713, 6533, 8365, 10585, 11041, 11137, 12209, 14701, 15841, 17329, 18361, 20017, 21049, 22049, 29341, 31021, 31621, 34441, 36301, 38081, 39305, 39493, 41041, 43621, 44801, 46657

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..86 from Daniel Lignon)

Mathematica

eulerPseudoQ[n_?PrimeQ, b_] = False; eulerPseudoQ[n_, b_] := Block[{p = PowerMod[b, (n - 1)/2, n]}, p == Mod[1, n] || p == Mod[-1, n]]; Select[2 Range[25000] + 1, eulerPseudoQ[#, 6] &] (* Michael De Vlieger, Sep 09 2015, after Jean-François Alcover at A006970 *)

Prog

(PARI) for(n=1, 1e5, if( Mod(6, (2*n+1))^n == 1 ||  Mod(6, (2*n+1))^n == 2*n && bigomega(2*n+1) != 1 , print1(2*n+1", "))); \\ Altug Alkan, Oct 11 2015

Crossrefs

Cf. A006970 (base 2), A262051 (base 3), A262052 (base 5), this sequence (base 6), A262054 (base 7), A262055 (base 8).

Sequence in context: A139265 A243628 A353388 * A362096 A157297 A156059

Adjacent sequences: A262050 A262051 A262052 * A262054 A262055 A262056

Keyword

nonn

Author

Daniel Lignon, Sep 09 2015

Status

approved