perplexus.info :: Just Math : Strange divisibility

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: What is strange

| Comment 23 of 27 |

(In reply to What is strange by Richard)

Richard, I evaluate the same you did, and obtained 26,460. But since I had the wrong number, 26,640, all that I did was to lament.

But now, with the correct number, it's certainly more surprising this divisibility.

Posted by pcbouhid on 2005-05-27 19:22:44

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