Some large primes and amicable numbers
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- by W. Borho PDF
- Math. Comp. 36 (1981), 303-304 Request permission
Abstract:
Some new large primes of the form $3 \cdot {2^n} - 1$ and $9 \cdot {2^n} - 1$, related to amicable numbers, are given. Two new large amicable number pairs are found by the method of so-called "Thabit rules".References
- Walter Borho, On Thabit ibn Kurrah’s formula for amicable numbers, Math. Comp. 26 (1972), 571–578. MR 313177, DOI 10.1090/S0025-5718-1972-0313177-4
- Hans Riesel, Lucasian criteria for the primality of $N=h\cdot 2^{n} -1$, Math. Comp. 23 (1969), 869–875. MR 262163, DOI 10.1090/S0025-5718-1969-0262163-1
- David Slowinski, Searching for the 27th Mersenne prime, J. Recreational Math. 11 (1978/79), no. 4, 258–267. MR 536930 M. Souissi, Un Texte Manuscrit d’Ibn Al-Bann$\vec {a}$ Al-Marrakusi sur les Nombres Parfaits, Abondants Deficients et Amiables, published by Hamdard Nat. Found., Pakistan, Karachi, 1975.
- H. J. J. te Riele, Four large amicable pairs, Math. Comp. 28 (1974), 309–312. MR 330033, DOI 10.1090/S0025-5718-1974-0330033-8
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 303-304
- MSC: Primary 10A40; Secondary 10A25
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595068-2
- MathSciNet review: 595068