Some large primes and amicable numbers

Author:
W. Borho

Journal:
Math. Comp. **36** (1981), 303-304

MSC:
Primary 10A40; Secondary 10A25

MathSciNet review:
595068

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Abstract: Some new large primes of the form and , related to amicable numbers, are given. Two new large amicable number pairs are found by the method of so-called "Thabit rules".

**[1]**Walter Borho,*On Thabit ibn Kurrah’s formula for amicable numbers*, Math. Comp.**26**(1972), 571–578. MR**0313177**, 10.1090/S0025-5718-1972-0313177-4**[2]**Hans Riesel,*Lucasian criteria for the primality of 𝑁=ℎ⋅2ⁿ-1*, Math. Comp.**23**(1969), 869–875. MR**0262163**, 10.1090/S0025-5718-1969-0262163-1**[3]**David Slowinski,*Searching for the 27th Mersenne prime*, J. Recreational Math.**11**(1978/79), no. 4, 258–267. MR**536930****[4]**M. Souissi,*Un Texte Manuscrit d'Ibn Al-Bann Al-Marrakusi sur les Nombres Parfaits, Abondants Deficients et Amiables*, published by Hamdard Nat. Found., Pakistan, Karachi, 1975.**[5]**H. J. J. te Riele,*Four large amicable pairs*, Math. Comp.**28**(1974), 309–312. MR**0330033**, 10.1090/S0025-5718-1974-0330033-8

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DOI:
https://doi.org/10.1090/S0025-5718-1981-0595068-2

Article copyright:
© Copyright 1981
American Mathematical Society