OFFSET
2,3
COMMENTS
a(n) = 1 if n is prime (A000040), a(n) > 1 if n is composite (A002808), a(n) = 2 if n is the square of a prime (A001248), a(n) = 3 if n is the cube of a prime (A030078).
LINKS
G. C. Greubel, Table of n, a(n) for n = 2..5000
Ilya Gutkovskiy, Bigomega(n)^omega(n)
Eric Weisstein's World of Mathematics, Distinct Prime Factors
Eric Weisstein's World of Mathematics, Prime Factor
Eric Weisstein's World of Mathematics, Prime Power
EXAMPLE
a(30) = 27, because the prime factorization of 30 is 2^1 * 3^1 * 5^1 -> bigomega(30) = 1+1+1, omega(30) = 3 and a(30) = (1+1+1)^3 = 27.
MATHEMATICA
Table[PrimeOmega[n]^PrimeNu[n], {n, 2, 120}]
PROG
(PARI) lista(nn) = for(n=2, nn, print1(bigomega(n)^omega(n), ", ")); \\ Altug Alkan, Apr 18 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 17 2016
STATUS
approved