divisibility

[halcyon juniper]

prove 1^1987+2^1987+......+n^1987 is not divisible by n+2

[rose locust]

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[plush geyser]

Notice that $n^{1987}\equiv(-2)^{1987}=-2^{1987}\mod{n+2}$. Try to do the same thing for n-1,n-2... and see what you get @halcyon juniper

[sweet granite]

Schlaumau