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A066612
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Number of primes between n^n and (n+1)^(n+1).
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0
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2, 7, 45, 391, 4376, 60864, 1012186, 19622935, 434351705, 10807060863, 298525056829, 9063891473730, 300004447041493, 10750198453038838
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..14.
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EXAMPLE
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a(2) = 7 as there are 7 primes between 2^2 (= 4) and 3^3(= 27) namely 5,7,11,13,17,19,23.
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MATHEMATICA
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Table[PrimePi[(k+1)^(k+1)]-PrimePi[k^k], {k, 12}](* Vladimir Joseph Stephan Orlovsky, Nov 30 2010 *)
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CROSSREFS
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Equals first differences of A064151.
Sequence in context: A064606 A331711 A223001 * A098637 A162045 A326878
Adjacent sequences: A066609 A066610 A066611 * A066613 A066614 A066615
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy, Dec 24 2001
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EXTENSIONS
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Corrected and extended by Robert G. Wilson v, Dec 26 2001
a(12)-a(14) from Donovan Johnson, Oct 14 2010
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STATUS
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approved
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