OFFSET
1,2
COMMENTS
Alladi shows that the density of A063743 is 6/Pi^2, and mentions (p. 229) that a slight modification of the proof shows that the density of this sequence is the same, hence a(n) ~ (Pi^2/6)n.
Vol'kovič (1976) proved that the asymptotic density of this sequence is 6/Pi^2. - Amiram Eldar, Jul 10 2020
REFERENCES
József Sándor, Dragoslav S. Mitrinovic and Borislav Crstici, Handbook of Number Theory I, Springer Science & Business Media, 2005, chapter V, p. 174.
V. E. Vol'kovič, Numbers that are relatively prime to their number of prime divisors (in Russian), Izv. Akad. Nauk USSR Ser. Fiz.-Math. Nauk, Vol. 86, No. 4 (1976), pp. 3-7.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Krishnaswami Alladi, On the probability that n and Omega(n) are relatively prime, Fibonacci Quarterly 19:3 (1981), pp. 228-232.
MATHEMATICA
Select[Range[200], CoprimeQ[#, PrimeNu[#]]&] (* Harvey P. Dale, Dec 20 2021 *)
PROG
(PARI) is(n)=gcd(omega(n), n)==1
CROSSREFS
KEYWORD
nonn
AUTHOR
Charles R Greathouse IV, Aug 03 2016
STATUS
approved