Squares of relatively prime numbers
73391
Prove that if $\gcd(a,b)=1$, then $\gcd(a^2,b^2)=1$
27250
Greatest common divisor of two relatively primes
146512
Prove that for every prime number $p>3$, $4p^2+1$ can be written as the sum of three square numbers
12862
Prove that two distinct numbers of the form $a^{2^{n}} + 1$ and $a^{2^{m}} + 1$ are relatively prime if $a$ is even and have $\gcd=2$ if $a$ is odd
19588
$n!+1$ being a perfect square
75733
Divisibility of prime numbers
14240
Approximating next prime number
84220
Questions on perfect squares
31184
Sums of powers below a prime
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
63702
There is a prime between $n$ and $n^2$, without Bertrand
25229
Can any set of $n$ relatively prime elements be extended to an invertible matrix?
9787
Primitive roots modulo primes congruent to n!
143407
Fibonacci Numbers $F_n$ and $F_{n + 1}$ are relatively prime for all $n \geq 0$.
155452
Prime factorization of square numbers
89066
Find all integers less than $m$ that are relatively prime to it
153647
Elementary number theory and quadratic