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A038823 Number of primes between n*1000 and (n+1)*1000. 13

%I #18 Mar 21 2021 12:56:34

%S 168,135,127,120,119,114,117,107,110,112,106,103,109,105,102,108,98,

%T 104,94,104,98,104,100,104,94,98,101,94,98,92,95,92,106,100,94,92,99,

%U 94,90,96,88,101,102,85,96,86,90,95,89,98,89,97,89,92,90,93,99,91,90,94,88,87

%N Number of primes between n*1000 and (n+1)*1000.

%D D. N. Lehmer, List of Prime Numbers from 1 to 10,006,721, p. 2, Carnegie Institute of Washington, Washington D.C., 1914

%D George P. Loweke, The Lore of Prime Numbers. New York: Vantage Press (1982) p. 91.

%D D. D. Spencer, Key Dates in Number Theory History, pp. 98, Camelot Pub. Co., FL 1995.

%D J. V. Uspensky and M. A. Heaslet, Elementary Number Theory, McGraw-Hill, NY, 1939, p. 124.

%H Jon E. Schoenfield, <a href="/A038823/b038823.txt">Table of n, a(n) for n = 0..9999</a> (first 100 terms from Julien Peter Benney)

%t Table[PrimePi[(n + 1) * 10^3] - PrimePi[n * 10^3], {n, 0, 99}] (* Julien Peter Benney (jpbenney(AT)gmail.com), Feb 18 2008 *)

%Y Cf. A038824, A038825, A038826, A038827, A038828, A038829, A038830, A038831, A038832, A080132.

%K nonn

%O 0,1

%A _Jeff Burch_

%E Edited and extended by _Robert G. Wilson v_, Jan 29 2003

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)