On odd perfect, quasiperfect, and odd almost perfect numbers
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- by Masao Kishore PDF
- Math. Comp. 36 (1981), 583-586 Request permission
Abstract:
We establish upper bounds for the six smallest prime factors of odd perfect, quasiperfect, and odd almost perfect numbers.References
- Otto Grün, Über ungerade vollkommene Zahlen, Math. Z. 55 (1952), 353–354 (German). MR 53123, DOI 10.1007/BF01181133
- Peter Hagis Jr. and Wayne L. McDaniel, On the largest prime divisor of an odd perfect number. II, Math. Comp. 29 (1975), 922–924. MR 371804, DOI 10.1090/S0025-5718-1975-0371804-2
- Masao Kishore, Odd integers $N$ with five distinct prime factors for which $2-10^{-12}<\sigma (N)/N<2+10^{-12}$, Math. Comp. 32 (1978), no. 141, 303–309. MR 485658, DOI 10.1090/S0025-5718-1978-0485658-X M. Kishore, The Number of Distinct Prime Factors of N for Which $\sigma (N) = 2N$, $\sigma (N) = 2N \pm 1$, and $\phi (N)|N - 1$, Doctoral dissertation, Princeton University, Princeton, N. J., 1977.
- Carl Pomerance, Multiply perfect numbers, Mersenne primes, and effective computability, Math. Ann. 226 (1977), no. 3, 195–206. MR 439730, DOI 10.1007/BF01362422
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 583-586
- MSC: Primary 10A20
- DOI: https://doi.org/10.1090/S0025-5718-1981-0606516-3
- MathSciNet review: 606516