Pythagorean FE(Self-made)

For discussing Olympiad Level Number Theory problems
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Fm Jakaria
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Joined:Thu Feb 28, 2013 11:49 pm
Pythagorean FE(Self-made)

Unread post by Fm Jakaria » Fri Nov 07, 2014 2:49 pm

Find all surjective function $f: \mathbb{N} \rightarrow \mathbb{N}$ such that
if the triple $(f(a),f(b),f(c))$ is pythagorean in some order; then the triple $(a,b,c)$ is also pythagorean in some order.
You cannot say if I fail to recite-
the umpteenth digit of PI,
Whether I'll live - or
whether I may, drown in tub and die.

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