

A066612


Number of primes between n^n and (n+1)^(n+1).


0



2, 7, 45, 391, 4376, 60864, 1012186, 19622935, 434351705, 10807060863, 298525056829, 9063891473730, 300004447041493, 10750198453038838
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..14.


EXAMPLE

a(2) = 7 as there are 7 primes between 2^2 (= 4) and 3^3(= 27) namely 5,7,11,13,17,19,23.


MATHEMATICA

Table[PrimePi[(k+1)^(k+1)]PrimePi[k^k], {k, 12}](* Vladimir Joseph Stephan Orlovsky, Nov 30 2010 *)


CROSSREFS

Equals first differences of A064151.
Sequence in context: A064606 A331711 A223001 * A098637 A162045 A326878
Adjacent sequences: A066609 A066610 A066611 * A066613 A066614 A066615


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Dec 24 2001


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Dec 26 2001
a(12)a(14) from Donovan Johnson, Oct 14 2010


STATUS

approved



