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A061274
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Number of primes between Pi^(n-1) and Pi^n.
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4
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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, 1796057856430, 5445108651668, 16528162238845
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OFFSET
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1,1
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LINKS
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FORMULA
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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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MATHEMATICA
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p = q = 0; Do[m = n; q = PrimePi[Pi^n]; Print[q - p]; p = q, {n, 1, 28}]
Differences[PrimePi[Pi^Range[0, 27]]] (* Harvey P. Dale, Aug 17 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 17 2001
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STATUS
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approved
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