MathDB
Factorization of $n^4+a$

Source: Czech and Slovak Olympiad 1972, National Round, Problem 4

July 10, 2024
number theoryCompositeFactoring

Problem Statement

Show that there are infinitely many positive integers aa such that the number n4+an^4+a is composite for every positive integer n.n. Give 5 (different) numbers aa with the mentioned property.