Problem 3079. Big numbers, repeated least significant digits

This problem builds off of Problem 3077
Given an integer x which contains d digits, find the value of (minimum) 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

26.22% Correct | 73.78% Incorrect
Last Solution submitted on Apr 19, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers66

Suggested Problems

More from this Author4

Problem Tags

overflow

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!