prove that there exists a prime number p such that n

Q: 16- Prove that for every positive integer n and all real number r except 1: -1 r -1 i=0 17- Show…

A: We need to prove the following given condition in question 16 and 17

Q: Prove that for any 9 consecutive natural numbers, there exists one number that is prime to the other…

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Q: There are infinitely many primes of the form 6n+5.

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Q: . Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is…

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Q: Prove that pqr is a deficient number, where p, q, r are three distinct primes with p <q < r

A: We have to prove that pqr is deficient number where p, q and r dustinct primes  Such that p &lt;  q…

Q: For a natural number n, we define n! = 1·2·3· ... · (n − 1) · n. For example: 2! = 1 2,3! = 1 2 3 =…

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Q: 6. Prove that n, n+2, n +4 are all primes if and only if n = 3.

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Q: Show that if p = q + 4a (p and q are odd primes), then (p/q) = (a/q).

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