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References
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Math. Comp., v. 21, 1967, pp. 258–259, UMT 17.
Math. Comp., v. 22, 1968, p. 234, UMT 22.
Math. Comp., v. 22, 1968, pp. 899–900, UMT 86.
Daniel Shanks & John W. Wrench, Jr., "Calculation of $\pi$ to 100,000 decimals," Math. Comp., v. 16, 1962, pp. 76–99.
A. A. Bennett, "Note on an operation of the third grade," Ann. of Math., v. 17, 1915–1916, pp. 74–75.
- Morgan Ward, Note on the iteration of functions of one variable, Bull. Amer. Math. Soc. 40 (1934), no. 10, 688–690. MR 1562953, DOI 10.1090/S0002-9904-1934-05942-1
- Morgan Ward and F. B. Fuller, The continuous iteration of real functions, Bull. Amer. Math. Soc. 42 (1936), no. 6, 393–396. MR 1563308, DOI 10.1090/S0002-9904-1936-06311-1 A. Zavrotsky, "Construccion de una escala continua de las operaciones aritmeticas," Revista Ciencia e Ingeniería de la Facultad de Ingeniería de la Universidad de los Andes, Mérida, Venezuela, December 1960, No. 7, pp. 38–53. (See Math. Comp., v. 15, 1961, pp. 299–300, RMT 63.) J. J. Sylvester, "On the number of fractions contained in any Farey series ...," Philos. Mag., v. 15, 1883, pp. 251–257.
- J. W. L. Glaisher, Number-divisor Tables, British Association for the Advancement of Science, Mathematical Tables, vol. 8, Cambridge University Press, Cambridge, England, 1940. MR 0002328
- Derrick Henry Lehmer, Guide to Tables in the Theory of Numbers, National Research Council, Washington, D.C., 1941. Bulletin of the National Research Council, No. 105. MR 0003625 Edward T. Ordman, Tables of the Class Number for Negative Prime Discriminants, UMT 29, Math. Comp., v. 23, 1969, p. 458. Lt. Col. Allan J. C. Cunningham, H. J. Woodall & T. G. Creak, Haupt-Exponents, Residue-Indices, Primitive Roots, and Standard Congruences, F. Hodgson, London, 1922. J. C. P. Miller, Table of Primitive Roots, Math. Comp., v. 17, 1963, pp. 88–89, UMT 2.
- Daniel Shanks, On maximal gaps between successive primes, Math. Comp. 18 (1964), 646–651. MR 167472, DOI 10.1090/S0025-5718-1964-0167472-8 C. A. Nichol, John L. Selfridge & Lowry McKee, A Table of Indices and Power Residues for all Primes and Prime Powers below 2000, W. W. Norton, New York, 1962. (See Math. Comp., v. 17, 1963, pp. 463–464, RMT 72.) J. W. L. Glaisher, "An enumeration of prime-pairs," Messenger of Math., v. 8, 1878, pp. 28–33. G. H. Hardy & J. E. Littlewood, "Partitio numerorum III: On the expression of a number as a sum of primes," Acta Math., v. 44, 1923, pp. 1–70. C. S. Sutton, "An investigation of the average distribution of twin prime numbers," J. Math. and Phys., v. 16, 1937, pp. 1–42. C. R. Sexton, "Counts of twin primes less than 100000," MTAC, v. 8, 1954, pp. 47–49, Note 158. D. H. Lehmer, "Tables concerning the distribution of primes up to 37 millions," 1957, ms. deposited in UMT file. (See MTAC, v. 13, 1959, pp. 56–57, RMT 3.) F. Gruenberger & G. Armerding, Statistics on the First Six Million Prime Numbers, Rand Corporation, Santa Monica, California, 1961. (See Math. Comp., v. 19, 1965, pp. 503–505, RMT 73.) Carl-Erik Fröberg, "On the sum of inverses of primes and of twin primes," Nordisk Mat. Tidskr. Informations-Behandling, v. 1, 1961, pp. 15–20.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 675-689
- DOI: https://doi.org/10.1090/S0025-5718-69-99858-5