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Results tagged with nt.number-theory
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user 147246
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
-2
votes
Alternative proofs of Euclid-Euler theorem
The following proof begins by considering some simple cases, and then extends to the general case. The general case taken alone gives a short proof of the theorem, but the simple cases provide a motiv …
0
votes
1
answer
1k
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Alternative proofs of Euclid-Euler theorem
What are some alternative methods of proof for the necessity direction of the above theorem, ie $n$ an even perfect number $\Rightarrow n$ is of form $2^{a-1} (2^a - 1)$ where $2^a - 1$ is a Mersenne …