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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
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
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Robert G. Wilson v, Apr 17 2008
STATUS
approved