Evaluation of Artin’s constant and the twinprime constant
Author:
John W. Wrench
Journal:
Math. Comp. 15 (1961), 396398
MSC:
Primary 10.42
DOI:
https://doi.org/10.1090/S00255718196101243050
Corrigendum:
Math. Comp. 20 (1966), 643.
MathSciNet review:
0124305
Fulltext PDF Free Access
References  Similar Articles  Additional Information

A. J. C. Cunningham, “On the number of primes of the same residuacity,” Proc. London Math. Soc., ser. 2, v. 13, 1914, p. 258272.
 Herbert Bilharz, Primdivisoren mit vorgegebener Primitivwurzel, Math. Ann. 114 (1937), no. 1, 476–492 (German). MR 1513151, DOI https://doi.org/10.1007/BF01594189 Helmut Hasse, Vorlesungen über Zahlentheorie, SpringerVerlag, Berlin, 1950, p. 6869.
 G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1–70. MR 1555183, DOI https://doi.org/10.1007/BF02403921 Charles S. Sutton, “An investigation of the average distribution of twin prime numbers,” J. Math. Phys., v. 16, 1937, p. 142. C. R. Sexton, “Counts of twin primes less than 100 000,” MTAC, v. 8, 1954, p. 4749. D. H. Lehmer, “Tables concerning the distribution of primes up to 37 millions,” deposited in UMT file. See MTAC, v. 13, 1959, p. 5657 (Review 3). R. Liénard, Tables fondamentales à 50 décimales des sommes ${S_n}$, ${u_n}$, ${\Sigma _n}$, Centre de Documentation Universitaire, Paris, 1948.
 A. Fletcher, J. C. P. Miller, and L. Rosenhead, An Index of Mathematical Tables, McGrawHill Book Company, New York; Scientific Computing Service Limited, London, 1946. MR 0018419 CarlErik Fröberg, “On the sum of inverses of primes and of twin primes,” Nordisk Mat. Tidskr. for Inf.Behandling, v. 1, 1961, p. 1520. Barkley Rosser, “The nth prime is greater than $n \log n$,” Proc. London Math. Soc., v. 45, 1939, p. 2144.
Retrieve articles in Mathematics of Computation with MSC: 10.42
Retrieve articles in all journals with MSC: 10.42
Additional Information
Article copyright:
© Copyright 1961
American Mathematical Society