Find $(2^{a}+1,2^{b}+1),$ where $a$ and $b$ are prime numbers greater than $3$ and $(x,y)$ represents the $\gcd(x,y).$
31895
Prove that if $a$ and $b$ are odd, coprime numbers, then $\gcd(2^a +1, 2^b +1) = 3$
76680
Prove that if $\gcd(a,c)=1$ and $\gcd(b,c)=1$ then $\gcd(ab,c)=1$
35945
Proof that if $\gcd(a,b) = 1$ and $a\mid n$ and $b\mid n$, $ab \mid n$
55441
Check: For the integers $a,b,c$ show that $\gcd(a,bc)=\gcd(a,\gcd(a,b)\cdot c)$
59006
Proof of $\gcd(n!+1, (n+1)!+1)=1$?
8160
What is $\gcd(0,a)$, where $a$ is a positive integer?
117098
Properties of the greatest common divisor: $\gcd(a, b) = \gcd(a, b-a)$ and $\gcd(a, b) = \gcd(a, b \text{ mod } a)$
105832
prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
70406
Find all values x, y and z which satisfy the equation $(x^2 + 1)(y^2 + 1) = z^2 + 1$ given that $(x^2 + 1)$ and $(y^2 + 1)$ are both primes.
65687
$\gcd(a,b)\gcd(x,y)\mid ax+by$
51382
Proving that either $2^n-1 $ or $ 2^n+1$ is not prime
80148
Prove $\gcd(a+b,a^2+b^2)$ is $1$ or $2$ if $\gcd(a,b) = 1$
85688
How to show $\gcd(ac, bd) = \gcd(a,d) * \gcd(b,c)$
103147
$\operatorname{gcd}(ab,a+b)=1$ if $a$ and $b$ are relatively prime
87013
If $\gcd(a,b)=1$, then there exists integers $x$ and $y$ such that $xa + yb = 1$
45700
How can I know if $2^{2^{2^{2^{2}}}}+1=?$ is prime?
113641
Suppose the gcd (a,b) = 1 and c divides a + b. Prove that gcd (a,c) = 1 = gcd (b,c)