Thread: Congruence relation

Hi, also need help with this one, been trying this for hours..

Find all integers that are k>=3 (bigger or equal to 3)

a) 11 ≡ k^2, mod k
b) 7 ≡ k, mod k^2

Thanks!

try to see the meaning of the congruence

means







since k is already an integer >= 3 , and n must be an integer. the only way n could be integer is if is also an integer. there is only one value of
k for which this happens........

apply similar reasoning to b)