MathDB

10.4

Part of 2023 Bulgarian Spring Mathematical Competition

Problems(1)

Good NT with orders

Source: Bulgarian Spring Tournament 2023 10.4

3/25/2023
Find all positive integers nn, such that there exists a positive integer mm and primes 1<p<q1<p<q such that q−p∣mq-p \mid m and p,q∣nm+1p, q \mid n^m+1.
number theory