MathCastle
Proof WritingHardInduction

Induction · Hard problem

A proof checks P(1)P(1) and P(4)P(4) and proves P(k)⇒P(k+2)P(k) \Rightarrow P(k + 2) for every k≥1k \ge 1. For how many nn with 1≤n≤501 \le n \le 50 is P(n)P(n) established?