MathDB

18

Part of 2018 Baltic Way

Problems(1)

A prime dividing a large number

Source: Baltic Way 2018, Problem 18

11/6/2018
Let n≥3n \ge 3 be an integer such that 4n+14n+1 is a prime number. Prove that 4n+14n+1 divides n2n−1n^{2n}-1.
number theoryprime numbers