Problem 56308. Korselt's Criterion

  • Created by HH
A composite integer n (n>=2) divides b^n-b, i.e. mod(b^n-b,n)==0, for all integers b if and only if n is square-free (doesn't have repeating prime factors) and n-1 is divisible by p-1, i.e. mod(n-1,p-1)==0, for all prime divisors p of n.
Given a positive integer x, return c, the number of integers n satisfying Korselt's Criterion, where 1 < n < 10^x.
Example:
x = 2;
c = 0
Example:
x = 3;
c = 1
Solve

Solution Stats

87.5% Correct | 12.5% Incorrect
Last Solution submitted on Jun 05, 2023

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