MathCastle
Proof WritingChallengeWhat a Proof Is

What a Proof Is · Challenge problem

A proof uses the factorisation n4+n2+1=(n2+n+1)(n2−n+1)n^4 + n^2 + 1 = (n^2 + n + 1)(n^2 - n + 1) to conclude that n4+n2+1n^4 + n^2 + 1 is never prime. Reading carefully, for how many integers nn with −10≤n≤10-10 \le n \le 10 IS n4+n2+1n^4 + n^2 + 1 prime?