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 A137382 Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)). 0
 7, 51, 371, 25116, 184807, 15161948, 119510273, 10619203228, 8117133311259, 66755371425339, 59943578764218680, 5202903726035784628, 44211655386352360485, 4351545315671679793432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..14. FORMULA a(n) = A071973(prime(n+1)) - A071973(prime(n)). - Amiram Eldar, Jun 14 2024 EXAMPLE 7 primes between Pi^2 (9.8...) and Pi^3 (31.0...). 51 primes between Pi^3 (31.0...) and Pi^5 (306.0...). 371 primes between Pi^5 (306.0...) and Pi^7 (3020.29...). MATHEMATICA Table[PrimePi[Pi^(Prime[n + 1])] - PrimePi[Pi^(Prime[n])], {n, 1, 8}] CROSSREFS Cf. A000796, A061274, A071973. Sequence in context: A037677 A034354 A015555 * A162757 A285880 A147958 Adjacent sequences: A137379 A137380 A137381 * A137383 A137384 A137385 KEYWORD nonn,more AUTHOR Vladimir Joseph Stephan Orlovsky, Apr 09 2008 EXTENSIONS a(9)-a(14) calculated from the data at A071973 and added by Amiram Eldar, Jun 14 2024 STATUS approved

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)