OFFSET
1,1
COMMENTS
Despite the closeness of f(n) = floor(n^(.9999)) to floor(n) (which generates the usual perfect numbers), the perfect numbers generated by these functions are quite different.
LINKS
J. Pe, On a Generalization of Perfect Numbers, J. Rec. Math., 31(3) (2002-2003), 168-172.
MATHEMATICA
f[x_] := Floor[x^(.9999)]; Select[ Range[2, 10^6], 2 * f[ # ] == Apply[ Plus, Map[ f, Divisors[ # ] ] ] & ]
CROSSREFS
KEYWORD
nonn
AUTHOR
Joseph L. Pe, Dec 20 2001
STATUS
approved