MathDB
n!+3 equaling a power of 3

Source: IrMO 2022

May 8, 2022
number theoryfactorial

Problem Statement

1. For n a positive integer, n! = 1 \cdot 2 \cdot 3 \dots (n - 1) \cdot n is the product of the positive integers from 1 to n.
Determine, with proof, all positive integers n for which n! + 3 is a power of 3.