What drives an aliquot sequence?
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- by Richard K. Guy and J. L. Selfridge PDF
- Math. Comp. 29 (1975), 101-107 Request permission
Corrigendum: Math. Comp. 34 (1980), 319-321.
Abstract:
The concept of the "driver" of an aliquot sequence is discussed. It is shown that no driver can be expected to persist indefinitely. A definition of driver is given which leads to just 5 drivers apart from the even perfect numbers.References
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- Richard K. Guy and J. L. Selfridge, Interim report on aliquot series, Proceedings of the Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1971) Dept. Comput. Sci., Univ. Manitoba, Winnipeg, Man., 1971, pp. 557–580. MR 0335412
- Richard K. Guy, D. H. Lehmer, J. L. Selfridge, and M. C. Wunderlich, Second report on aliquot sequences, Proceedings of the Third Manitoba Conference on Numerical Mathematics (Winnipeg, Man., 1973) Utilitas Math., Winnipeg, Man., 1974, pp. 357–368. MR 0351967 RICHARD K. GUY & J. L. SELFRIDGE, Combined Report on Aliquot Sequences, University of Calgary Math. Research Report No. 225, May 1974. G. AARON PAXSON, "Aliquot sequences (preliminary report)," Amer. Math. Monthly, v. 63, 1956, p. 614; Math. Comp., v. 26, 1972, pp. 807-809. P. POULET, L’Intermédiaire des Math., v. 25, 1918, pp. 100-101.
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 101-107
- MSC: Primary 10A20; Secondary 10A40
- DOI: https://doi.org/10.1090/S0025-5718-1975-0384669-X
- MathSciNet review: 0384669