OFFSET
1,1
COMMENTS
a(1) = A068916(3).
13579716377989 and 119429556097859 are also terms, but it is not known if they are the next ones. - Jud McCranie, Feb 09 2016
LINKS
S. P. Hurd and J. S. McCranie, Integers that are Sums of Uniform Powers of all their Prime Factors: the sequence A068916, J. of Int. Seq., vol 22 (2019), article 19.3.4.
EXAMPLE
1096744 = 2^3 * 11^3 * 103 = 2^3+2^3+2^3+11^3+11^3+11^3+103^3.
PROG
(PARI) isok(n) = {my(f = factor(n)); sum(k=1, #f~, f[k, 1]^3*f[k, 2]) == n; } \\ Michel Marcus, Feb 09 2016
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Jud McCranie, Jan 24 2016
EXTENSIONS
a(5) from Jud McCranie, Feb 13 2016
a(6) from Jud McCranie, Mar 20 2016
STATUS
approved