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A007592 Hyperperfect numbers: n=m(sigma(n)-n-1)+1 for some m>1.
(Formerly M5113)
+0
6
21, 301, 325, 697, 1333, 1909, 2041, 2133, 3901, 10693, 16513, 19521, 24601, 26977, 51301, 96361, 130153, 159841, 163201, 176661, 214273, 250321, 275833, 296341, 306181, 389593, 486877, 495529, 542413, 808861, 1005421, 1005649, 1055833, 1063141, 1232053 (list; graph; listen)
OFFSET

1,1

REFERENCES

D. Minoli, Sufficient Forms For Generalized Perfect Numbers, Ann. Fac. Sciences, Univ. Nation. Zaire, Section Mathem; Vol. 4, No. 2, Dec 1978, pp. 277-302.

D. Minoli, New Results For Hyperperfect Numbers, Abstracts American Math. Soc., October 1980, Issue 6, Vol. 1, pp. 561.

D. Minoli, Issues in non-linear hyperperfect numbers, Math. Comp., 34 (1980), 639-645.

D. Minoli, Structural Issues For Hyperperfect Numbers, Fibonacci Quarterly, Feb. 1981, Vol. 19, No. 1, pp. 6-14.

D. Minoli and Robert Bear, Hyperperfect Numbers, Pi Mu Epsilon Journal, Fall 1975, pp. 153-157.

D. Minoli and W. Nakamine, Mersenne Numbers Rooted On 3 For Number Theoretic Transforms, 1980 IEEE International Conf. on Acoust., Speech and Signal Processing.

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 177.

LINKS

J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

See A034897 (for m >= 1).

Sequence in context: A021604 A025935 A077506 this_sequence A019664 A019839 A077513

Adjacent sequences: A007589 A007590 A007591 this_sequence A007593 A007594 A007595

KEYWORD

nonn,nice

AUTHOR

njas

EXTENSIONS

More terms from j.mccranie(AT)comcast.net (Jud Mccranie) 10/97.

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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