Elementary Methods in Number Theory Exercise 1.4.8

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mb5fdb1021b5992 2012-11-29 16:28:00

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Let $n\geq 2$,prove that $(n+1)!+k$ is composite for $k=2,\cdots,n+1$.This shows that there exists arbitrarily long intervals of composite numbers.

Proof:Simple.

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Elementary Methods in Number Theory Exercise 1.4.8

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