Odd triperfect numbers are divisible by eleven distinct prime factors

Author:
Masao Kishore

Journal:
Math. Comp. **44** (1985), 261-263

MSC:
Primary 11A25

DOI:
https://doi.org/10.1090/S0025-5718-1985-0771048-2

MathSciNet review:
771048

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that an odd triperfect number has at least eleven distinct prime factors.

**[1]**W. E. Beck & R. M. Najar, "A lower bound for odd triperfects,"*Math. Comp.*, v. 38, 1982, pp. 249-251. MR**637303 (83m:10006)****[2]**G. L. Cohen, "On odd perfect numbers II, Multiperfect numbers and quasiperfect numbers,"*J. Austral. Math. Soc.*, v. 29, 1980, pp. 369-384. MR**569525 (81m:10009)****[3]**M. Kishore, "Odd triperfect numbers,"*Math. Comp.*, v. 42, 1984, pp. 231-233. MR**725999 (85d:11009)****[4]**W. McDaniel, "On odd multiply perfect numbers,"*Boll. Un. Mat. Ital.*(4), v. 3, 1970, pp. 185-190. MR**0262154 (41:6764)****[5]**C. Pomerance, "Odd perfect numbers are divisible by at least seven distinct primes,"*Acta Arith.*, v. 25, 1973/1974, pp. 265-300. MR**0340169 (49:4925)**

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DOI:
https://doi.org/10.1090/S0025-5718-1985-0771048-2

Article copyright:
© Copyright 1985
American Mathematical Society