- In mathematics, a
multiply perfect number (also
called multiperfect number or
pluperfect number) is a
generalization of a
perfect number. For a
given natural...
-
primary pseudoperfect number, and the
first (2,6)-perfect
number (super-
multiperfect),
where σ2(n)=σ(σ(n))=6n.{\displaystyle \sigma ^{2}(n)=\sigma (\sigma...
- ^{m}(n)=kn\,.} With this notation,
perfect numbers are (1,2)-perfect,
multiperfect numbers are (1,k)-perfect,
superperfect numbers are (2,2)-perfect and...
- Chen, Yong-Gao; Tang, Cui-E (2014). "Improved
upper bounds for odd
multiperfect numbers".
Bulletin of the
Australian Mathematical Society. 89 (3): 353–359...
- Zbl 0376.10005. Cohen,
Graeme L. (1980). "On odd
perfect numbers (ii),
multiperfect numbers and
quasiperfect numbers". J. Austral. Math. Soc. Ser. A. 29...
- (1994). "Almost Perfect, Quasi-Perfect, Pseudoperfect, Harmonic, Weird,
Multiperfect and
Hyperperfect Numbers".
Unsolved Problems in
Number Theory (2nd ed...
-
Fermatians or
Sarrus numbers). In 1925, he
published forty-three new
multiperfect numbers,
including the
first two
known octo-perfect numbers. His achievements...
