Odd triperfect numbers are divisible by eleven distinct prime factors
HTML articles powered by AMS MathViewer
- by Masao Kishore PDF
- Math. Comp. 44 (1985), 261-263 Request permission
Abstract:
We prove that an odd triperfect number has at least eleven distinct prime factors.References
- Walter E. Beck and Rudolph M. Najar, A lower bound for odd triperfects, Math. Comp. 38 (1982), no. 157, 249–251. MR 637303, DOI 10.1090/S0025-5718-1982-0637303-9
- Graeme L. Cohen, On odd perfect numbers. II. Multiperfect numbers and quasiperfect numbers, J. Austral. Math. Soc. Ser. A 29 (1980), no. 3, 369–384. MR 569525
- Masao Kishore, Odd triperfect numbers, Math. Comp. 42 (1984), no. 165, 231–233. MR 725999, DOI 10.1090/S0025-5718-1984-0725999-4
- Wayne McDaniel, On odd multiply perfect numbers, Boll. Un. Mat. Ital. (4) 3 (1970), 185–190. MR 0262154
- Carl Pomerance, Odd perfect numbers are divisible by at least seven distinct primes, Acta Arith. 25 (1973/74), 265–300. MR 340169, DOI 10.4064/aa-25-3-265-300
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Math. Comp. 44 (1985), 261-263
- MSC: Primary 11A25
- DOI: https://doi.org/10.1090/S0025-5718-1985-0771048-2
- MathSciNet review: 771048