Quote:
Originally Posted by VBCurtis
Your OP never mentioned a and b should be prime. I don't see why "1 is not prime" is relevant. Do you mean to now require a>b>1?

No. I wanted to forbid \(1 = 1^{16384} + 0^{16384}\) as another trivial "solution".
I do not want
any trivial solutions.
I know \((a, b) = (67234, 1)\) gives an acceptable solution (\(b=1\) is allowed), but it is certainly not minimal (although we do not have the proof until someone gives an example (EDIT: axn's first post in this thread already gave examples)).
Nitpicking is fine, but hopefully everyone sees I am just asking for the equivalent of \(72^{8192} + 43^{8192}\) with exponents \(16384\).
/JeppeSN