Odd and Even Factors of a Perfect Square
48787
A number is a perfect square if and only if it has odd number of positive divisors
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
103116
Prove that any odd number can be a leg in a Pythagorean Triple
155452
Prime factorization of square numbers
38466
Proving that the number of vertices of odd degree in any graph G is even
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
47060
Split $n$ into nontrivial factors via a nontrivial square-root of $1\!\pmod{\!n}$
47148
Complete balanced (signed) residue System of an odd modulo m
24160
Show that if $a$ is an odd integer and $b$ is an even integer then $\gcd(a,b)=\gcd(a,b/2)$
57944
Euler's Formula application for distinct odd primes with gcd 1
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
47223
Deriving even odd function expressions
101573
Subtracting even and odd binomial coefficients?
21152
Exactly half of the elements of $\mathcal{P}(A)$ are odd-sized
85272
$3x + 1$ is even iff $5x-2$ is odd
59481
Even and odd functions for Taylor serie
123267
Proving that even numbers equal the sum of two odd numbers.