Lower bounds for relatively prime amicable numbers of opposite parity.
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- by Peter Hagis PDF
- Math. Comp. 24 (1970), 963-968 Request permission
Abstract:
Whether or not a pair of relatively prime amicable numbers exists is an open question. In this paper it is proved that if $m$ and $n$ are a pair of relatively prime amicable numbers of opposite parity then $mn$ is greater than ${10^{121}}$ and $m$ and $n$ are each greater than ${10^{60}}$.References
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- Hans-Joachim Kanold, Untere Schranken für teilerfremde befreundete Zahlen, Arch. Math. (Basel) 4 (1953), 399–401 (German). MR 58622, DOI 10.1007/BF01899256
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- Paul Bratley, Fred Lunnon, and John McKay, Amicable numbers and their distribution, Math. Comp. 24 (1970), 431–432. MR 271005, DOI 10.1090/S0025-5718-1970-0271005-8
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Math. Comp. 24 (1970), 963-968
- MSC: Primary 10.03
- DOI: https://doi.org/10.1090/S0025-5718-1970-0276167-4
- MathSciNet review: 0276167