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 A137379 Number of primes between (n + 1)^Pi and n^Pi. 1
 0, 4, 7, 10, 15, 23, 28, 37, 43, 54, 64, 78, 83, 103, 113, 128, 145, 159, 180, 186, 215, 237, 244, 277, 296, 313, 340, 369, 384, 417, 430, 472, 504, 515, 550, 590, 620, 641, 686, 706, 746, 789, 812, 857, 902, 918, 964, 1016, 1043, 1095, 1149, 1158, 1213, 1276 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 FORMULA a(n) = A000720(A061294(n+1)) - A000720(A061294(n)). - R. J. Mathar, Apr 16 2008 EXAMPLE 0 primes between: 0^Pi and 1^Pi (between: 0 and 1); 4 primes between: 1^Pi and 2^Pi (between: 1 and 8.82..); 7 primes between: 2^Pi and 3^Pi (between: 8.82.. and 31.54..); MAPLE Digits := 30 : A000720 := proc(n) numtheory[pi](n) ; end: A061294 := proc(n) floor(n^Pi) ; end: A137379 := proc(n) A000720(A061294(n+1))-A000720(A061294(n)) ; end: seq(A137379(n), n=0..80) ; # R. J. Mathar, Apr 16 2008 MATHEMATICA Table[PrimePi[(n + 1)^Pi] - PrimePi[n^Pi], {n, 0, 29}] CROSSREFS Sequence in context: A095875 A071408 A137461 * A342761 A096676 A092863 Adjacent sequences: A137376 A137377 A137378 * A137380 A137381 A137382 KEYWORD nonn,easy AUTHOR Vladimir Joseph Stephan Orlovsky, Apr 09 2008 EXTENSIONS More terms from R. J. Mathar, Apr 16 2008 STATUS approved

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Last modified October 1 01:57 EDT 2023. Contains 365812 sequences. (Running on oeis4.)