MathDB

1

Part of 2024 Regional Olympiad of Mexico Southeast

Problems(1)

Primes related to sums of integers

Source: Problem 1 from Regional Olympiad of Mexico Southeast 2024

9/29/2024
Find all pairs of positive integers a,ba, b such that the numbers a+1a+1, b+1b+1, 2a+12a+1, 2b+12b+1, a+3ba+3b, and b+3ab+3a are all prime numbers.
primesMexicointeger pairsprime divisornumber theory