(In reply to
Solution by Brian Smith)
BS, you say "This makes sense only when the equation is 0+1=1. Thus, x is even and y is odd."
In other words, 2^x=0(mod 4), and: y^4=1(mod 4)
It is quite true that y^4=1(mod 4) => y is ODD.
BUT, 2^x=0(mod4) is satisfied whenever x is any integer >=2, which covers ODD INTEGERS such as 3, 5, 7, ....etc. VIS-A-VIS THE EVEN INTEGERS.
Consequently, I fail to understand the avenue whereby you have derived that x MUST BE EVEN.
Edited on December 17, 2021, 10:13 pm
re: Solution
