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Mathematics of Computation
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A search procedure and lower bound for odd perfect numbers

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An infinite tree-generating “q-algorithm” is defined, which if executed would enumerate all odd perfect numbers (opn’s). A truncated execution shows that any opn has either some component pa > 1018, with a even, or no divisor < 7; hence any opn must be > 1036. © 1973, American Mathematical Society.

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Mathematics of Computation

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