A085878 Smallest n-th power k^n == 1 (mod 10^n), where k>1.

11, 2401, 1003003001, 38513670001, 3200800080004000100001, 109572174941077441712143556000001, 10000007000002100000350000035000002100000070000001

Offset

1,1

Comments

Sequence is infinite as (10^n + 1)^n is a candidate, or a(n) < = (10^n +1)^n.

Links

Table of n, a(n) for n=1..7.

Example

a(2) = 49^2= 2401 == 1 (mod 100).

Crossrefs

Cf. A085877.

Sequence in context: A272617 A301473 A087403 * A238633 A266815 A064779

Adjacent sequences: A085875 A085876 A085877 * A085879 A085880 A085881

Keyword

nonn

Author

Amarnath Murthy, Jul 07 2003

Extensions

More terms from Ray Chandler, Jul 12 2003

Status

approved