Proving that gcd of 2 numbers is 1

[John L]

x=2^{2^i}+1

y=2^{2^j}+1

i and j are integers, i can t be equal with j

prove that gcd(x,y)=1

i attached something i've tried

 

[Steven G]

x=2^{2^i}+1

y=2^{2^j}+1

i and j are integers, i can t be equal with j

prove that gcd(x,y)=1

i attached something i've tried

To get the best help possible can you please inform us which course you are taking and what type of techniques you learned about showing that the gcd of two numbers is 1

 

[John L]

To get the best help possible can you please inform us which course you are taking and what type of techniques you learned about showing that the gcd of two numbers is 1

I managed to solve the problem using modular arithmetic