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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: strange

| Comment 3 of 27 |

(In reply to strange by armando)

I believe you mean that the third number, i.e. 10,152^8 would end in 6 as you use in your sum. However, (5 -1 + 6) = 10 and does end in 0.

Posted by ken on 2005-05-25 16:25:00

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