A137380 Number of primes between (prime(n + 1))^Pi and (prime(n))^Pi.

7, 25, 51, 198, 161, 489, 339, 882, 1979, 847, 3251, 2779, 1601, 3641, 6674, 8283, 3107, 10662, 8176, 4460, 14777, 11078, 18741, 28982, 16373, 8678, 18282, 9658, 20424, 82989, 27252, 44036, 15543, 84265, 18312, 57632, 62079, 43930, 69885

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n=1..1000.

Example

7 primes between 2^Pi (8.8...) and 3^Pi (31.5..)
25 primes between 3^Pi (31.5...) and 5^Pi (156.9..)
51 primes between 5^Pi (156.9...) and 7^Pi (451.8..)

Mathematica

Table[PrimePi[(Prime[n + 1])^Pi] - PrimePi[(Prime[n])^Pi], {n, 1, 21}]
f[n_] := PrimePi[Prime[n + 1]^Pi] - PrimePi[Prime@n^Pi]; Array[f, 41] (* Robert G. Wilson v, Apr 17 2008 *)

Crossrefs

Sequence in context: A173825 A269589 A278874 * A309901 A094672 A179436

Adjacent sequences: A137377 A137378 A137379 * A137381 A137382 A137383

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 09 2008

Extensions

More terms from Robert G. Wilson v, Apr 17 2008

Status

approved