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%I #18 Jun 11 2024 04:40:14
%S 2,7,45,391,4376,60864,1012186,19622935,434351705,10807060863,
%T 298525056829,9063891473730,300004447041493,10750198453038838,
%U 414596707456493479,17122019740329088733,753855850836114017867,35248703133243910547502
%N Number of primes between n^n and (n+1)^(n+1).
%e a(2) = 7 as there are 7 primes between 2^2 (= 4) and 3^3 (= 27) namely 5, 7, 11, 13, 17, 19, and 23.
%t Table[PrimePi[(k+1)^(k+1)]-PrimePi[k^k],{k,12}](* _Vladimir Joseph Stephan Orlovsky_, Nov 30 2010 *)
%Y Equals first differences of A064151.
%K nonn
%O 1,1
%A _Amarnath Murthy_, Dec 24 2001
%E Corrected and extended by _Robert G. Wilson v_, Dec 26 2001
%E a(12)-a(14) from _Donovan Johnson_, Oct 14 2010
%E a(15)-a(18) from _Amiram Eldar_, Jun 11 2024