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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)

 Subject Author Date solution Paul Duffy 2005-06-13 21:47:24 re: Prime factors? pcbouhid 2005-06-02 21:09:06 Prime factors? Erik O. 2005-06-02 20:50:49 re(2): What is strange - it's singular !! pcbouhid 2005-05-28 19:55:09 re: What is strange pcbouhid 2005-05-27 19:22:44 What is strange Richard 2005-05-27 18:40:47 re(6): Remove Problem pcbouhid 2005-05-27 16:05:01 re: strange divisibility pcbouhid 2005-05-27 15:48:48 strange divisibility armando 2005-05-27 15:42:27 re(5): Remove Problem Charlie 2005-05-27 15:20:26 re(4): Remove Problem pcbouhid 2005-05-27 14:45:07 re(3): Remove Problem pcbouhid 2005-05-27 14:40:18 re(3): Remove Problem Charlie 2005-05-27 14:10:25 re(2): Remove Problem Richard 2005-05-27 00:56:25 re: Remove Problem pcbouhid 2005-05-26 13:35:50 Remove Problem Ravi Raja 2005-05-26 09:12:38 thank you all - (sqrt) pcbouhid 2005-05-25 21:13:02 re(4): Bigger numbers (sqrt) Federico Kereki 2005-05-25 20:28:39 re(3): Bigger numbers (sqrt) Erik O. 2005-05-25 20:03:02 re(2): Bigger numbers (sqrt) Jer 2005-05-25 18:47:00 re: Bigger numbers pcbouhid 2005-05-25 18:02:28 Bigger numbers Jer 2005-05-25 17:47:00 Smaller numbers Jer 2005-05-25 17:30:49 re(2): strange armando 2005-05-25 17:05:22 re: strange ken 2005-05-25 16:25:00 strange armando 2005-05-25 15:29:35 Hmmmm..... (spoiler?) Charlie 2005-05-25 13:24:34

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