This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

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Found problems: 2

2017 Macedonia JBMO TST, 5
Tags: number theory , Digits , prime factors , Exponents
Find all the positive integers $n$ so that $n$ has the same number of digits as its number of different prime factors and the sum of these different prime factors is equal to the sum of exponents of all these primes in factorization of $n$.

2023 Argentina National Olympiad, 2
Tags: number theory , prime factors
Find all positive integers $n$ such that all prime factors of $2^n-1$ are less than or equal to $7$.