nmmnthrowaway
Re:Tell HN: 2^4 == 4^2, extended to rationals
on Saturday April 22, 2023 @03:06PM (#35669909)
Yes, but there is a much simpler proof.
Re:Tell HN: 2^4 == 4^2, extended to rationals
on Saturday April 22, 2023 @02:30PM (#35669550)
That is correct. Why are there no others?
Re:Tell HN: 2^4 == 4^2, extended to rationals
on Saturday April 22, 2023 @02:12PM (#35669402)
I think a more interesting problem to consider after solving n^m = m^n is solving n^m = m^n + 1 in the natural numbers.
Re:Only one pair of integers satisfy the equation m^n = n^m
on Thursday April 20, 2023 @07:00AM (#35638344)
n^n * n^(m - n) = n ^ m = m ^ n, so n^n divides m^n, so n divides m.