- Mar 31, 2013
Find all pairs of integers n and k such that $n!+8 = 2^k$
I have edited the question to make it more clearFrom inspection I can find $n=4,\,k=5$.
As a bonus I can see that $n=5,\,k=7$ works as well.
I kind of suspect that you intended to find all such integers, did you? Ah well, that was not the question.