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Re:Tell HN: 2^4 == 4^2, extended to rationals by nmmnthrowaway 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 by mahalex on Saturday April 22, 2023 @02:36PM (#35669615)
Because Catalan’s conjecture.
Re:Tell HN: 2^4 == 4^2, extended to rationals by yarg on Saturday April 22, 2023 @02:53PM (#35669772)
> Catalan's conjecture was proven by Preda Mihăilescu in April 2002.

Cool, so the conjecture's a theorem.

https://xn--uni-gttingen-8ib.academia.edu/PredaMihailescu

Re:Tell HN: 2^4 == 4^2, extended to rationals by hgsgm on Saturday April 22, 2023 @02:57PM (#35669815)
Which has an extremely complicated proof :-(
Re:Tell HN: 2^4 == 4^2, extended to rationals by mahalex on Saturday April 22, 2023 @04:07PM (#35670433)
I wouldn’t call it extremely complicated; it is much simpler than the proof of FLT.
Re:Tell HN: 2^4 == 4^2, extended to rationals by nmmnthrowaway 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 by judofyr on Saturday April 22, 2023 @03:21PM (#35670070)
Something related to prime factorization maybe?
Re:Tell HN: 2^4 == 4^2, extended to rationals by AnimalMuppet on Saturday April 22, 2023 @03:29PM (#35670149)
Do tell.