OFFSET
1,1
EXAMPLE
31 is in the sequence because 31 = 31^1, so omega(31) = 1, but (31 - 1)^1 = 30^1 = 2^1 * 3^1 * 5^1, so omega(30) = 3, and 1 < 3.
MAPLE
q:= n-> (f-> n::odd and f(n)<f(mul((i[1]-1)^i[2],
i=ifactors(n)[2])))(k-> nops(ifactors(k)[2])):
select(q, [$1..333])[]; # Alois P. Heinz, Jul 04 2024
MATHEMATICA
f[p_, e_] := (p - 1)^e; s[n_] := Times @@ f @@@ FactorInteger[n]; Select[Range[3, 1000, 2], PrimeNu[#] < PrimeNu[s[#]] &] (* Amiram Eldar, Jul 04 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Mike Jones, Jul 04 2024
STATUS
approved