Prove that the following numbers are composite: 1000!+2 and 1000!+3

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- Feb 24th 2008, 05:33 PMalgebrapro18Factorial proofs
Prove that the following numbers are composite: 1000!+2 and 1000!+3

- Feb 24th 2008, 05:42 PMJhevon
- Feb 24th 2008, 05:44 PMmr fantastic
- Feb 24th 2008, 07:32 PMThePerfectHacker
Using this idea we can prove that we consecutive composite numbers has no bound to it. Because are all composite thus we can make the list of composites as long as we wish.

- Feb 24th 2008, 08:10 PMSoroban
This is the basis for a classic Challenger:

Find 99 consecutive composite numbers.

Answer (drag your cursor between the asterisks)

* 100! + n, for n = 2,3,4,5, ... , 100 *