On Thabit ibn Kurrah’s formula for amicable numbers
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- by Walter Borho PDF
- Math. Comp. 26 (1972), 571-578 Request permission
Abstract:
This note describes some methods for deriving explicit formulas for amicable numbers which are similar to Thabit’s famous rule. The search for new amicable pairs by such rules consists merely in primality tests for certain big numbers. Only two new pairs are actually given, demonstrating the usefulness of the results and simultaneously illustrating the quite strange form of pairs obtained by this new method. It is proposed to use a computer in order to get more solutions.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 571-578
- MSC: Primary 10A40
- DOI: https://doi.org/10.1090/S0025-5718-1972-0313177-4
- MathSciNet review: 0313177