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Search: id:A137380
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| A137380 |
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Number of primes between (Prime[n + 1])^Pi and (Prime[n])^Pi. |
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+0
1
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| 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; listen)
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OFFSET
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1,1
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LINKS
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Robert G. Wilson v, Table of n, a(n) for n=1..1000.
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EXAMPLE
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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..)
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MATHEMATICA
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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, (rgwv(AT)rgwv.com), Apr 17 2008
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CROSSREFS
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Adjacent sequences: A137377 A137378 A137379 this_sequence A137381 A137382 A137383
Sequence in context: A102027 A031294 A147129 this_sequence A094672 A071778 A110672
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 09 2008
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EXTENSIONS
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More terms from Robert G. Wilson v, (rgwv(AT)rgwv.com), Apr 17 2008
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