Question

prove that \[a\not | b\] if a and b are of the form \[4n-1,t^2+1\]

Answer 1

in other words
show that a number of the form 4n-1 does not divide a number of the form t^2+1
or
t^2+1 is not divisible by 4n-1

Answer 2

also
\[t^2\not\equiv -1\mod({ 4n-1})\]

Answer 3

obviously 4n-1 is odd