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Sophie Squares (Posted on 2005-07-13) Difficulty: 4 of 5
Prove that for all nonnegative integers a and b, such that 2a² + 1 = b², there are two nonnegative integers c and d such that 2c² + 1 = d² and a + c + d = b, or give a counterexample.

(For example if a = 0 and b = 1, or a = 2 and b = 3 then c=0 and d = 1.)

See The Solution Submitted by Gamer    
Rating: 3.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Counter-example | Comment 1 of 9

Nevermind...found an error.

Bob

Edited on July 13, 2005, 4:20 pm
  Posted by Bob Smith on 2005-07-13 16:17:12

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