A067007 a(n) = googolplex (mod n).

0, 0, 1, 0, 0, 4, 4, 0, 1, 0, 1, 4, 3, 4, 10, 0, 1, 10, 9, 0, 4, 12, 13, 16, 0, 16, 10, 4, 24, 10, 5, 0, 1, 18, 25, 28, 10, 28, 16, 0, 1, 4, 24, 12, 10, 36, 9, 16, 4, 0, 1, 16, 46, 10, 45, 32, 28, 24, 48, 40, 47, 36, 46, 0, 55, 34, 10, 52, 13, 60, 45, 64, 1, 10, 25, 28, 67, 16, 52, 0

Offset: 1

Author

Ed Pegg Jr, Nov 20 2002

Keywords

• nonn

Comments

A googolplex is 10^(10^100). a(n) = 0 iff n = 2^a * 5^b, a, b >= 0 (A003592).

Links

• Daniel Starodubtsev, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Googolplex

Crossrefs

Cf. A066298.

Programs

Mathematica

Table[ PowerMod[10, 10^100, n], {n, 2, 50}]

Extensions

Edited by Robert G. Wilson v, Nov 23 2002