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

168, 135, 127, 120, 119, 114, 117, 107, 110, 112, 106, 103, 109, 105, 102, 108, 98, 104, 94, 104, 98, 104, 100, 104, 94, 98, 101, 94, 98, 92, 95, 92, 106, 100, 94, 92, 99, 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

Offset: 0

Author

Jeff Burch

Keywords

• nonn

References

• D. N. Lehmer, List of Prime Numbers from 1 to 10,006,721, p. 2, Carnegie Institute of Washington, Washington D.C., 1914
• George P. Loweke, The Lore of Prime Numbers. New York: Vantage Press (1982) p. 91.
• D. D. Spencer, Key Dates in Number Theory History, pp. 98, Camelot Pub. Co., FL 1995.
• J. V. Uspensky and M. A. Heaslet, Elementary Number Theory, McGraw-Hill, NY, 1939, p. 124.

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 0..9999 (first 100 terms from Julien Peter Benney)

Crossrefs

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

Programs

Mathematica

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

Extensions

Edited and extended by Robert G. Wilson v, Jan 29 2003