Question

prove that there exist infinite primes
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Answer 1

Answer:

Euclid's proof that there are an infinite number of primes. Assume there are a finite number, n , of primes , the largest being p n . ... By construction, N is not divisible by any of the p i . Hence it is either prime itself, or divisible by another prime greater than p n , contradicting the assumption.

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Answer 2

Answer: As there are infinite numbers therefore there are infinite primes. As the no. of numbers goes on increasing the no. of primes of increase.

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