| 单词 | Primitive Semiperfect Number |
| 释义 | Primitive Semiperfect NumberA Semiperfect Number for which none of its Proper Divisors are pseudoperfect (Guy 1994,p. 46). The first few are 6, 20, 28, 88, 104, 272 ... (Sloane's A006036). Primitive pseudoperfect numbers are also calledIrreducible Semiperfect Numbers. There are infinitely many primitive pseudoperfectnumbers which are not Harmonic Divisor Numbers, and infinitely many Odd primitivesemiperfect numbers. See also Harmonic Divisor Number, Semiperfect Number
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 46, 1994. Sloane, N. J. A. SequenceA006036/M4133in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. |
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