Some large primes and amicable numbers

Author:
W. Borho

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

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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]**W. Borho, "On Thabit ibn Kurrah's formula for amicable numbers,"*Math. Comp.*, v. 26, 1972, pp. 571-578. MR**0313177 (47:1732)****[2]**H. Riesel, "Lucasian criteria for the primality of ,"*Math. Comp.*, v. 23, 1969, pp. 869-875. MR**0262163 (41:6773)****[3]**D. Slowinski, "Searching for the 27th Mersenne prime,"*J. Recreational Math.*, v. 11, 1979, pp. 258-261. MR**536930 (80g:10013)****[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. te Riele, "Four large amicable pairs,"*Math. Comp.*, v. 28, 1974, pp. 309-312. MR**0330033 (48:8372)**

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

Article copyright:
© Copyright 1981
American Mathematical Society