Prove that n2+n+17n^2 + n + 17n2+n+17 is prime for all integers n n\,n such that 1≤n≤71 \leq n \leq 71≤n≤7.
Prove that there is an integer value of n n\,n for which n2+n+17n^2 + n + 17n2+n+17 is not prime.
257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.