A215260 Nearest integer to log(A002110(n)).

0, 1, 2, 3, 5, 8, 10, 13, 16, 19, 23, 26, 30, 33, 37, 41, 45, 49, 53, 57, 62, 66, 70, 75, 79, 84, 88, 93, 98, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 173, 178, 183, 189, 194, 199, 205, 210, 216, 221, 227, 232, 238, 243, 249, 254, 260, 266, 271, 277, 283, 288, 294, 300, 306, 312, 317, 323, 329, 335, 341, 347, 353, 359, 365, 371, 377

Offset

0,3

Links

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

Formula

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

Mathematica

Round@ Log@ FoldList[ Times, 1, Prime@ Range@ 60] (* Robert G. Wilson v, Sep 16 2015 *)

Prog

(PARI) v=List([t=0]); forprime(p=2, 200, t+=log(p); listput(v, round(t))); Vec(v) \\ Charles R Greathouse IV, Sep 23 2012
(PARI) a(n) = round(log(factorback(primes(n)))); \\ Michel Marcus, Jan 15 2025

Crossrefs

Cf. A002110, A016040, A057872, A092777, A215259.

Sequence in context: A193640 A112045 A098389 * A004977 A186498 A226330

Adjacent sequences: A215257 A215258 A215259 * A215261 A215262 A215263

Keyword

nonn,changed

Author

N. J. A. Sloane, Sep 14 2012

Status

approved