perplexus.info :: Numbers : Raise to the seventh power, get factor

Raise to the seventh power, get factor (Posted on 2007-04-18)

Determine at least three pairs of positive integers (x,y) with x< y such that xy(x+y) is not divisible by 7, but (x+y)⁷ - x⁷ - y⁷ is divisible by 7⁷

Does the given problem generate an infinite number of pairs as solutions?

Can you do this in a short time using pen and paper, and eventually a hand calculator, but no computer programs?

See The Solution Submitted by K Sengupta

Rating: 3.3333 (3 votes)

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

Subject	Author	Date
Solution	Brian Smith	2007-04-21 16:09:38
re(2): Hint	K Sengupta	2007-04-19 04:20:47
Solution	Dej Mar	2007-04-19 02:52:21
re: Hint	Dej Mar	2007-04-19 02:21:34
Hint	K Sengupta	2007-04-19 01:21:01

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