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 A137382 Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)). 0

%I #9 Jun 14 2024 08:47:05

%S 7,51,371,25116,184807,15161948,119510273,10619203228,8117133311259,

%T 66755371425339,59943578764218680,5202903726035784628,

%U 44211655386352360485,4351545315671679793432

%N Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)).

%F a(n) = A071973(prime(n+1)) - A071973(prime(n)). - _Amiram Eldar_, Jun 14 2024

%e 7 primes between Pi^2 (9.8...) and Pi^3 (31.0...).

%e 51 primes between Pi^3 (31.0...) and Pi^5 (306.0...).

%e 371 primes between Pi^5 (306.0...) and Pi^7 (3020.29...).

%t Table[PrimePi[Pi^(Prime[n + 1])] - PrimePi[Pi^(Prime[n])], {n, 1, 8}]

%Y Cf. A000796, A061274, A071973.

%K nonn,more

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Apr 09 2008

%E a(9)-a(14) calculated from the data at A071973 and added by _Amiram Eldar_, Jun 14 2024

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Last modified September 19 04:40 EDT 2024. Contains 376004 sequences. (Running on oeis4.)