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For questions about Pythagorean triples which are triples of positive integers $(a, b, c)$ satisfying $a^2 + b^2 = c^2$.
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Is there any formula to find number of Pythagorean triplets between two integers 2 and j, j>2?
Given $j \geq 5$, is there a formula for the number of Pythagorean triplets $(a, b, c)$ satisfying the constraint that $a, b, c \leq j$?
There exists at least one Pythagorean triplet for $j\geq5$; th …