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A064040
Integers whose number of distinct prime divisors is prime.
4
6, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 28, 30, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105
OFFSET
1,1
COMMENTS
For all terms below 210 this sequence and A024619 are identical.
LINKS
EXAMPLE
210 = 2*3*5*7 has 4 prime factors, hence it is not here, but it is part of A024619.
MAPLE
q:= n-> isprime(nops(ifactors(n)[2])):
select(q, [$1..210])[]; # Alois P. Heinz, Apr 18 2024
MATHEMATICA
Select[Range[200], PrimeQ[PrimeNu[#]] &] (* Paolo Xausa, Mar 28 2024 *)
PROG
(PARI) n=0; for (m=1, 10^9, if (isprime(omega(m)), write("b064040.txt", n++, " ", m); if (n==1000, break))) \\ Harry J. Smith, Sep 06 2009
(PARI) is(n)=isprime(omega(n)) \\ Charles R Greathouse IV, Sep 18 2015
KEYWORD
nonn,easy
AUTHOR
Lior Manor, Aug 23 2001
EXTENSIONS
Edited by Charles R Greathouse IV, Mar 18 2010
Name edited by Michel Marcus, Oct 16 2023
STATUS
approved