MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

The statement "if nn is odd, then n2−1n^2 - 1 is divisible by 88" is true (write n=2k+1n = 2k + 1: n2−1=4k(k+1)n^2 - 1 = 4k(k+1)). Its contrapositive says: if n2−1n^2 - 1 is NOT divisible by 88, then nn is even. For how many integers nn with 1≤n≤201 \le n \le 20 is n2−1n^2 - 1 NOT divisible by 88?

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