A038823 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

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)

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A308280 A259086 A062518 * A296890 A225535 A333874

Adjacent sequences: A038820 A038821 A038822 * A038824 A038825 A038826

KEYWORD

nonn

AUTHOR

Jeff Burch

EXTENSIONS

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

STATUS

approved