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Strange divisibility (Posted on 2005-05-25)

Without evaluation of it, prove that the number N = 27,195^8 - 10,887^8 + 10,152^8 is divisible by 26,460.

Note: the original problem mistakenly listed the last number as 26,640. This has been corrected

See The Solution Submitted by pcbouhid

Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Remove Problem

| Comment 14 of 27 |

(In reply to re: Remove Problem by pcbouhid)

Ravi would win, I'm afraid, if the bet is that the problem is correct as it stands.

The error in the problem statement is perhaps that 26,640 should have been 26,460?

Posted by Richard on 2005-05-27 00:56:25

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