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Raise to the seventh power, get factor (Posted on 2007-04-18) Difficulty: 5 of 5
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
SolutionSolutionBrian Smith2007-04-21 16:09:38
re(2): HintK Sengupta2007-04-19 04:20:47
SolutionSolutionDej Mar2007-04-19 02:52:21
Some Thoughtsre: HintDej Mar2007-04-19 02:21:34
Hints/TipsHintK Sengupta2007-04-19 01:21:01
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