A search procedure and lower bound for odd perfect numbers
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- by Bryant Tuckerman PDF
- Math. Comp. 27 (1973), 943-949 Request permission
Corrigendum: Math. Comp. 28 (1974), 887.
Corrigendum: Math. Comp. 28 (1974), 887.
Abstract:
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 ${p^a} > {10^{18}}$, with a even, or no divisor $< 7$; hence any opn must be $> {10^{36}}$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 943-949
- MSC: Primary 10A25; Secondary 10-04
- DOI: https://doi.org/10.1090/S0025-5718-1973-0325506-7
- MathSciNet review: 0325506