Problem 3079. Big numbers, repeated least significant digits

Created by Michael C.

Solve Later

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

Solution Stats

52 Solutions
25 Solvers

Last Solution submitted on Dec 26, 2019

Last 200 Solutions

Problem Comments

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.

Problem Recent Solvers25

Problem Tags

overflow

Problem 3079. Big numbers, repeated least significant digits

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author4

Problem Tags

Problem 3079. Big numbers, repeated least significant digits

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers25

Suggested Problems

More from this Author4

Problem Tags

Players