OFFSET
1,1
COMMENTS
The least odd term is a(934) = A349065(1) = 3472875.
Not all the terms are powerful. E.g., (prime(44)#)^3/4 and (prime(22)#)^6/32 are nonpowerful terms. What is the least nonpowerful term?
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
EXAMPLE
144 is a term since A183097(144) = 290 > 2*144 = 288.
MATHEMATICA
f[p_, e_] := (p^(e + 1) - 1)/(p - 1) - p; s[1] = 1; s[n_] := Times @@ f @@@ FactorInteger[n]; q[n_] := s[n] > 2*n; Select[Range[15000], q]
PROG
(PARI) isok(k) = sumdiv(k, d, ispowerful(d)*d) > 2*k; \\ Michel Marcus, Nov 07 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Nov 07 2021
STATUS
approved