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A137380 Number of primes between (Prime[n + 1])^Pi and (Prime[n])^Pi. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 4 11:13 EDT 2021. Contains 346447 sequences. (Running on oeis4.)