34 works, 30 not works
Source: Rioplatense L2 2023 #5
December 6, 2023
number theory
Problem Statement
A positive integer is rioplatense if it satifies the following conditions:
1 -There exist consecutive integers such that its product is divisible by , but none of them is divisible by .
2 - There not exist consecutive integers such that its product is divisible by , but none of them is divisible by .
Determine all rioplatense numbers.