perplexus.info :: Just Math : Divisible by 2009

Divisible by 2009 (Posted on 2013-01-05)

Show that 3100ⁿ - 650ⁿ - 558ⁿ + 117ⁿ is divisible by 2009 for every positive integer n.

No Solution Yet Submitted by K Sengupta

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As years go by...

| Comment 1 of 4

Indeed it is.

And the same, a little more topically, is also true of:

3871044^n-3951568^n-3967623^n+4050156^n

Posted by broll on 2013-01-05 23:36:02

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