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$ 4a^2+b^2=2c^2$ where $ a$ , $ b$ and $ c$ are positive integers. I have to find all primitive triplets such that $ c \le N$ . $ N$ can be as high as $ 10^7$ . Can we get a tree like solutions like that of Pythagorean triplets, which efficiently generate only theRead more

Which Pythagorean triples have the two parameters m,n? I know primitives have relatively prime parameters, but what about other PTs?Read more

Write a function maxPythagTriple that accepts an integer n and returns the maximum product of three numbers that are both a Pythagorean triplet and sum to the integer n. If no such pythagorean triplet exists, return -1. i.e. maxPythagTriple(4) == -1 i.e. maxPythagTriple(12) == 60 {3,4,5} –> 3+4+5 = 12 –> 3^2+4^2= 5^2 –> 3*4*5Read more