Talk:Hyperperfect number

Minoli
Hyperperfect numbers were introduced (invented) by Daniel Minoli and Rober Bear in 1975. The original reference is


 * Daniel Minoli, Robert Bear, Hyperperfect Numbers, PME Journal, Fall 1975, pp. 153-157.

Other early references are as follows:


 * Daniel Minoli, Issue In Non-Linear Hyperperfect Numbers, Mathematics of Computation, Vol. 34, No. 150, April 1980, pp. 639-645.


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


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

Dan Minoli can be reached at minoli@comcast.net (also see google.com with search "daniel minoli"


 * It is also possible to show that if k > and p = k + 1 is prime, [...]

k is greater than what?

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formula not correct??
for k=1, S(n)=n, so the equation reads n = 1 + 1 * ( n - n - 1 ) =0. also for k=2, the formula says 21 = 1 + 2 * ( (1+3+7) - 21 - 1) = 1 + 2 * ( 11 - 22 ) which is not 21. 186.139.188.31 (talk) 22:21, 2 March 2022 (UTC)


 * Hyperperfect numbers satisfy n = 1 + k(σ(n) &minus; n  &minus; 1).  In your first line, the first term inside the parentheses is σ(n), not n.  Bubba73 You talkin' to me? 00:48, 3 March 2022 (UTC)