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  3. let n p1p2prpr1pr2prs with r 1 and s 1...

Question: let n p1p2prpr1pr2prs with r 1 and s 1...

Question details

Let N = p1p2...pr+pr+1pr+2...pr+s with r \geq 1 and s \geq 1 and where the pi are distinct primes. Show that pi (does not divide) N for 1 \leq i \leq r+s and hence deduce again that there exist infinitely many primes.

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