|
|
A000879
|
|
Number of primes < prime(n)^2.
|
|
19
|
|
|
2, 4, 9, 15, 30, 39, 61, 72, 99, 146, 162, 219, 263, 283, 329, 409, 487, 519, 609, 675, 705, 811, 886, 1000, 1163, 1252, 1294, 1381, 1423, 1523, 1877, 1976, 2141, 2190, 2489, 2547, 2729, 2915, 3043, 3241, 3436, 3512, 3868, 3945, 4089, 4164, 4627, 5106
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
a(n) is the least index i such that A052180(i) = prime(n). - Labos Elemer, May 14 2003
Number of primes determined at the n-th step of the sieve of Eratosthenes. - Jean-Christophe Hervé, Oct 21 2013
There are only 3 squares in the current data: 4, 9, 7745089. - Michel Marcus, Apr 07 2018
There are no other squares up to a(780000). - Giovanni Resta, Apr 09 2018
|
|
LINKS
|
Donovan Johnson, Table of n, a(n) for n = 1..10000
|
|
FORMULA
|
a(n) = A000720(A001248(n)). - Michel Marcus, Apr 07 2018
|
|
MATHEMATICA
|
PrimePi[Prime[Range[50]]^2] (* Harvey P. Dale, Jan 16 2013 *)
|
|
PROG
|
(PARI) a(n) = primepi(prime(n)^2); \\ Michel Marcus, Oct 28 2013
|
|
CROSSREFS
|
Cf. A050216 (first differences), A089609, A052180, A000720, A001248, A000885, A054270 (primes of rank a(n))
Sequence in context: A085683 A330737 A083270 * A262232 A358830 A321410
Adjacent sequences: A000876 A000877 A000878 * A000880 A000881 A000882
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
gandalf(AT)hrn.office.ssi.net (James D. Ausfahl)
|
|
EXTENSIONS
|
Edited by Ralf Stephan, Aug 24 2004
|
|
STATUS
|
approved
|
|
|
|