(b) Prove that there are infinitely many prime numbers of the form 6n + 5
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question given below part b).
Transcribed Image Text:(b) Prove that there are infinitely many prime numbers of the form 6n + 5
36
Chapter 1 Divisibility and Factorization
where n is an integer. (Hint: Assume, by way of contradiction, that
there are only finitely many prime numbers of the desired form and
ingeniously construct a number N that will eventually lead to a
contradiction. In other words, parallel the proof of Proposition 1.22.)
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