The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A289500 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A289500

Number of primes in the interval [9n, 10n].
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:46:19 EDT 2022

PROG

(MAGMAMagma) [0] cat [#PrimesInInterval(9*n, 10*n): n in [2..100]]; // Vincenzo Librandi, Jul 13 2017

Discussion

Thu Sep 08

08:46

OEIS Server: https://oeis.org/edit/global/2944

#15 by Joerg Arndt at Sat Jul 29 12:36:03 EDT 2017

STATUS

reviewed

approved

#14 by Michel Marcus at Sat Jul 29 12:27:24 EDT 2017

STATUS

proposed

reviewed

#13 by Vincenzo Librandi at Thu Jul 13 00:47:39 EDT 2017

STATUS

editing

proposed

#12 by Vincenzo Librandi at Thu Jul 13 00:47:17 EDT 2017

MATHEMATICA

Join[{0}, Table[PrimePi[10 n] - PrimePi[9 n], {n, 2, 100}]] (* Vincenzo Librandi, Jul 13 2017 *)

PROG

(MAGMA) [0] cat [#PrimesInInterval(9*n, 10*n): n in [2..100]]; // Vincenzo Librandi, Jul 13 2017

STATUS

reviewed

editing

#11 by Charles R Greathouse IV at Wed Jul 12 23:44:35 EDT 2017

STATUS

proposed

reviewed

#10 by Charles R Greathouse IV at Wed Jul 12 23:44:28 EDT 2017

STATUS

editing

proposed

#9 by Charles R Greathouse IV at Wed Jul 12 23:44:24 EDT 2017

FORMULA

a(n) = n/lnlog(n) + (1 + lnlog(3^18/10^10))*n/lnlog(n)^2 + O(n/lnlog(n)^3) as n -> infinity. - Robert Israel, Jul 12 2017

STATUS

proposed

editing

#8 by FUNG Cheok Yin at Wed Jul 12 20:49:43 EDT 2017

STATUS

editing

proposed

#7 by Robert Israel at Wed Jul 12 13:53:21 EDT 2017

FORMULA

a(n) = n/ln(n) + (1 + ln(3^18/10^10))*n/ln(n)^2 + O(n/ln(n)^3) as n -> infinity. - Robert Israel, Jul 12 2017

MAPLE

seq(numtheory:-pi(10*n)-numtheory:-pi(9*n), n=1..100); # Robert Israel, Jul 12 2017

STATUS

proposed

editing