Problem 3079. Big numbers, repeated least significant digits

Created by Michael C.

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This problem builds off of Problem 3077

Given an integer x which contains d digits, find the value of n (n > 1) such that the last d digits of x^n is equal to x. If the last d digits will never equal x, return inf.

Example 1:

x = 2; (therefore d = 1)
2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32
n = 5;

Example 2:

x = 10; (therefore d = 2)
10^2 = 100, 10^3 = 1000, etc
n = inf;

Solve

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Last solution submitted on Sep 22, 2019

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2 Comments

2 Comments

rifat on 14 Mar 2015

is it correct for 35197? Im getting 5001 instead of inf.

Tim on 15 Mar 2015

I also get 5001.

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Problem 3079. Big numbers, repeated least significant digits

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Last 200 Solutions

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Problem Recent Solvers23

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Problem 3079. Big numbers, repeated least significant digits

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Last 200 Solutions

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Problem Recent Solvers23

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