A066604 a(n) = 6^n mod n.
0, 0, 0, 0, 1, 0, 6, 0, 0, 6, 6, 0, 6, 8, 6, 0, 6, 0, 6, 16, 6, 14, 6, 0, 1, 10, 0, 8, 6, 6, 6, 0, 18, 2, 6, 0, 6, 36, 21, 16, 6, 36, 6, 20, 36, 36, 6, 0, 48, 26, 12, 48, 6, 0, 21, 8, 45, 36, 6, 36, 6, 36, 27, 0, 41, 60, 6, 4, 9, 36, 6, 0, 6, 36, 51, 4, 41, 12, 6, 16
Offset: 1
Examples
a(7) = 6 as 6^7 = 279936 = 7*39990 + 6.
Links
- Harry J. Smith, Table of n, a(n) for n = 1..1000
Programs
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Maple
seq(irem(6^n,n),n=1..80); # Zerinvary Lajos, Apr 20 2008
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Mathematica
Table[PowerMod[6, n, n], {n, 80} ]
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PARI
a(n) = { lift(Mod(6, n)^n) } \\ Harry J. Smith, Mar 10 2010
Extensions
More terms from Floor van Lamoen and Robert G. Wilson v, Dec 27 2001