prove if $a$ is odd then there exists a Pythagorean triplet with it
103116
Prove that any odd number can be a leg in a Pythagorean Triple
49938
Proof of $a^{\phi (n) +1} \equiv a \pmod{\! n} $ Carmichael generalization of Fermat-Euler's theorem.
67031
use contradiction to prove that the square root of $p$ is irrational
24160
Show that if $a$ is an odd integer and $b$ is an even integer then $\gcd(a,b)=\gcd(a,b/2)$
48787
A number is a perfect square if and only if it has odd number of positive divisors
37744
Prove that given $a,b,c > 0$, it is possible to construct a triangle with sides of length $a,b,c$ if and only if $pa^2+qb^2 > pqc^2$
55582
How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
6582
Prove the existence of the square root of $2$.
142835
Proving :$\arctan(1)+\arctan(2)+ \arctan(3)=\pi$
109343
Solve Euler Project #9 only mathematically - Pythagorean triplet
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational
87267
Conjecture similar to Fermat's Theorem.
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
97411
If $x^n=y^n$ and $n$ is odd then $x=y$
141496
Could someone make the proof into a hinted exercise?
71110
Show that we cannot have a prime triplet of the form $p$, $p + 2$, $p + 4$ for $p >3$
83307
If $n\mid a^2-1$, $n$ an odd integer, show $n = \gcd(a-1, n)\gcd(a+1, n)$