A215259 Nearest integer to log(A003418(n)).

0, 0, 1, 2, 2, 4, 4, 6, 7, 8, 8, 10, 10, 13, 13, 13, 13, 16, 16, 19, 19, 19, 19, 22, 22, 24, 24, 25, 25, 28, 28, 32, 33, 33, 33, 33, 33, 36, 36, 36, 36, 40, 40, 44, 44, 44, 44, 48, 48, 49, 49, 49, 49, 53, 53, 53, 53, 53, 53, 58, 58, 62, 62, 62, 62, 62, 62, 67, 67, 67, 67, 71, 71, 75, 75, 75, 75, 75, 75, 79, 79, 81, 81, 85, 85, 85, 85, 85, 85, 89, 89, 89, 89, 89, 89

Offset: 0

Author

N. J. A. Sloane, Sep 14 2012

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A003418, A215260, A057872.

Programs

PARI

v=List([0]);t=1;for(n=1,100,listput(v,round(log(t=lcm(t,n))))); Vec(v) \\ Charles R Greathouse IV, Sep 23 2012

Formula

a(n) ~ n, a statement equivalent to the Prime Number Theorem. - Charles R Greathouse IV, Sep 23 2012