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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: ( You must be logged in to post comments.)
  Subject Author Date
re: True?gail2005-07-19 06:08:17
Hints/Tipsre(2): SolutionBractals2005-07-14 03:24:53
re: SolutionBob Smith2005-07-13 20:05:16
Some ThoughtsNo Subjectpcbouhid2005-07-13 18:23:54
SolutionSolutionBractals2005-07-13 18:09:21
re(2): True?Bob Smith2005-07-13 17:43:19
re: True?Steve Herman2005-07-13 17:29:07
Some ThoughtsTrue?e.g.2005-07-13 17:18:01
Counter-exampleBob Smith2005-07-13 16:17:12
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