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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 (list; graph; refs; listen; history; text; internal format)
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: A108240 A064606 A223001 * A098637 A162045 A153549

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

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Last modified February 23 18:13 EST 2019. Contains 320437 sequences. (Running on oeis4.)