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Theorem connecting Prime and Perfect Numbers

Theorem:

If 2^k − 1= prime, then 2^{k − 1} (2^k − 1) is a perfect number.

Prime factorization | prime factorization calculator

Examples of Theorem

K	2^K -1 = Prime	2^{K -1}(2^K -1) = perfect
2	2²-1 = 3	2¹(3) = 6
k= 3	2³-1= 7	2²(7) = 28

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