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Search: id:A061274
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| A061274 |
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Number of primes between Pi^(n-1) and Pi^n. |
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+0
3
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| 2, 2, 7, 14, 37, 100, 271, 742, 2054, 5813, 16507, 47501, 137306, 399685, 1169789, 3438915, 10153559, 30083443, 89426830, 266598341, 796863253, 2387439540, 7168302094, 21565117858, 64993345011, 196202749033, 593205591259
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(1) = 2 as 2 and 3 are the two primes between 1 and Pi. a(4) = 14 as there are 14 primes between (pi)^3 =31.006... and (pi)^4 =97.409091...
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MAPLE
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See A061273.
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MATHEMATICA
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p = q = 0; Do[m = n; q = PrimePi[Pi^n]; Print[q - p]; p = q, {n, 1, 28}]
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CROSSREFS
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Cf. A061273, A071973.
Sequence in context: A049953 A156435 A162460 this_sequence A061575 A133602 A137249
Adjacent sequences: A061271 A061272 A061273 this_sequence A061275 A061276 A061277
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2001
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EXTENSIONS
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More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 17 2001
Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 18 2002
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