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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)

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re(2): What is strange - it's singular !!

| Comment 24 of 27 |

(In reply to re: What is strange by pcbouhid)

If I had noticed my mistake in time, the title would be "A singular case of divisibility", because of the fact that 26,460 = 27,195 - 10,887 + 10,152.

Posted by pcbouhid on 2005-05-28 19:55:09

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