

A094892


a(n) is the number of primes between n*210 and (n+1)*210.


2



46, 35, 33, 32, 30, 29, 27, 31, 27, 27, 26, 25, 30, 26, 22, 27, 26, 27, 24, 24, 26, 23, 26, 26, 22, 24, 26, 27, 20, 25, 23, 25, 23, 24, 22, 23, 26, 21, 21, 24, 21, 26, 24, 23, 25, 22, 25, 20, 25, 22, 21, 22, 21, 22, 21, 18, 26, 22, 21, 26, 23, 24, 22, 19, 21, 24, 21, 17, 23
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OFFSET

0,1


COMMENTS

Arbitrarily long subsequences of consecutive 0's occur. a[n] is always <= 46. All values below 34 occur (see A095391); does 34?


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000


EXAMPLE

a[0]=46 because there are 46 primes between 0*210 and 1*210.
a[l]=35 because there are 35 primes between 1*210 and 2*210.


MATHEMATICA

a[n_]:=PrimePi[210 (n + 1)]  PrimePi[210 n]; Table[a[n], {n, 0, 100}] (* Vincenzo Librandi, Jul 08 2018 *)


PROG

(MAGMA) [46] cat [#PrimesInInterval(210*n, 210*(n+1)): n in [1..80]]; // Vincenzo Librandi, Jul 08 2018


CROSSREFS

Cf. A078859, A095389, A008364.
Sequence in context: A033978 A216840 A060958 * A258915 A165867 A058905
Adjacent sequences: A094889 A094890 A094891 * A094893 A094894 A094895


KEYWORD

nonn


AUTHOR

Labos Elemer, Jun 16 2004


EXTENSIONS

Edited by Don Reble, Jun 16 2004
Examples corrected by Matthew Vandermast, Jun 17 2004


STATUS

approved



