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)

Comments: ( You must be logged in to post comments.)

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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