A229029 Minimal positive integer m such that, in base n, powers of m can end with an arbitrary number of consecutive 1's.

2, 5, 2, 43, 2, 3, 2, 71, 2, 13, 2, 11, 2, 3, 2, 79, 2, 21, 13, 59, 2, 5, 2, 55, 2, 29, 2, 211, 2, 3, 2, 1055, 2, 13, 2, 11, 5, 11, 2, 967, 2, 5, 2, 3, 2, 5, 2, 111, 2, 29, 2, 19, 12, 3, 20, 7, 2, 61, 2, 19, 2, 3, 2, 1087, 2, 69, 2, 11, 2, 5, 2, 7, 2, 5, 2, 547, 2, 3, 2, 303, 2, 85, 2, 11, 2, 5, 2, 391, 2, 13, 2, 3, 2, 5, 2, 95, 2, 21

Offset

3,1

Links

Table of n, a(n) for n=3..100.

Example

In the decimal number system (n=10), powers of numbers smaller than 71 cannot end with 1111. On the other hand, 71^13 == 1111 (mod 10^4), 71^1513 == 11111 (mod 10^5), etc. and it can be shown that 71^k can end in any number of ones. So a(10)=71.

Crossrefs

Sequence in context: A364820 A328264 A170908 * A055385 A160503 A108429

Adjacent sequences: A229026 A229027 A229028 * A229030 A229031 A229032

Keyword

nonn,base

Author

Max Alekseyev, Sep 11 2013

Status

approved