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Prove that for every positive integer n, there are n
Chapter 4, Problem 12E(choose chapter or problem)
QUESTION:
Prove that for every positive integer n, there are n consecutive composite integers. [Hint: Consider the n consecutive integers starting with (n + 1)! + 2.]
Questions & Answers
QUESTION:
Prove that for every positive integer n, there are n consecutive composite integers. [Hint: Consider the n consecutive integers starting with (n + 1)! + 2.]
ANSWER:SolutionIn this question we need to prove that for any positive integer n, there are n consecutive positive integers.Step 1 For any composite number we can write,for some and Now n is a composite number if there is number such that .