A066610 a(n) = 6^n mod n^6.

0, 36, 216, 1296, 7776, 0, 44638, 106752, 511758, 466176, 1398612, 0, 4175671, 4282944, 2765826, 4259840, 20220503, 0, 36376760, 40062976, 25606125, 57077760, 109780662, 0, 144545126, 283401024, 0, 454885376, 299969829

Offset: 1

Author

Amarnath Murthy, Dec 24 2001

Keywords

• nonn

Examples

			a(7) = 44638 as 6^7 = 279936 = (7^6)*2 + 44638.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A066606.

Programs

Mathematica

Table[PowerMod[6,n,n^6],{n,30}] (* Harvey P. Dale, Jan 21 2019 *)

PARI

a(n) = { lift(Mod(6, n^6)^n) } \\ Harry J. Smith, Mar 11 2010

Extensions

More terms from Robert G. Wilson v, Dec 26 2001