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Pythagorean Plus One (Posted on 2004-05-17) Difficulty: 3 of 5
A "Pythagorean Plus One" triple can be defined as any three distinct integers a, b, c, such all three of these are one more than a perfect square, and also a times b equals c. What is the lowest value of c possible?

See The Solution Submitted by Gamer    
Rating: 2.5000 (2 votes)

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Maybe a really smart floobler..... | Comment 8 of 20 |

....can prove the impossibility of a Pythagorean Plus One triple consisting of three even numbers. Since there are no such triples among the first million integers, I suspect there is a mathematical proof of the impossibility of such a triple. (Like a proof that there are no odd Mersenne primes ? Mathematicians are still working on that one.) 


Edited on May 17, 2004, 2:33 pm
  Posted by Penny on 2004-05-17 13:27:00

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