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Fifthing the quart (Posted on 2013-04-28) Difficulty: 2 of 5

Let a,b,c,d, be positive integers, with a and d different, and b and c different.

If a^4-b^5=c^5-d^4, then twice the sum of the 5th powers is a sum of two squares.

Prove it, or find a counter-example.

See The Solution Submitted by broll    
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  Subject Author Date
re: Some (all?)xdog2013-05-01 19:24:27
Some ThoughtsSome (all?)Jer2013-05-01 15:00:18
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