Question: 2. Prove that gaps between successive primes can be arbitrarily large? equivalently, for every positive integer if, there exist I: consecutive composite numbers. Your proof

2. Prove that gaps between successive primes can be arbitrarily large? equivalently, for every positive integer if, there exist I: consecutive composite numbers. Your proof should start with: Let k be a positive integer. Hint: Consider numbers of the form n! + m for suitable n and m

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