$gcd\left(2^{2^n}+1, 2^{2^m}+1\right)$
112031
Prove that $\gcd(2^{2^m}+1,2^{2^n}+1)=1$ if $m,n$ are positive integers.
145354
What is $\gcd(0,0)$?
52546
How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
53042
Find solutions to $\varphi\left(n\right)=2^{32}$
31331
$|a|=m,\,\gcd(m,n)=1 \implies a$ is an $n$'th power
59006
Proof of $\gcd(n!+1, (n+1)!+1)=1$?
110695
Divisor of $2^{2^n} + 1$ modulus $2^{n+1}$
56423
gcd of power plus one
92630
How to prove $\gcd(a^m,b^m) = \gcd(a,b)^m$ using Bézout's Lemma
69967
How to prove $\gcd(a^m-b^m,a^n-b^n) = a^{\gcd(m,n)} - b^{\gcd(m,n)} $?
14783
A Number Theory problem (GCD)
85688
How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$
34767
Proving $\left(1+\dfrac{1}{1^3}\right)\left(1+\dfrac{1}{2^3}\right)\cdots\left(1+\dfrac{1}{n^3}\right)<3$ for all positive integers $n$
147802
Proving that $\gcd\left(\frac a {\gcd(a,b)},\frac b {\gcd(a,b)}\right) =1$
122096
Find $GCD(n^2+1,n+1)$
112486
Bounds on a sum of gcd's
112005
Showing that if $p_1 + \cdots p_n = 1$ then $\displaystyle \sum_{k=1}^n \left(p_k + \dfrac {1}{p_k} \right)^2 \ge n^3+2n+\dfrac 1n$?