I want to know if there is a proof to show that Sum of two perfect number never be a perfect number by the way if there are a finitely many perfects numbers which they are sum of two perfect numbers ?
2026-02-22 19:53:30.1771790010
Any proof for :Sum of two perfect number never be a perfect number?
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This question is answered in the negative (for even perfect numbers) in the following answer to a closely related MSE question:
Do there exist two perfect numbers $N_1$ and $N_2$ such that $N_1 + N_2$ is also perfect?