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Mathematics of Computation

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On a Scarce Factor Table

Author: N. G. W. H. Beeger
Journal: Math. Comp. 2 (1947), 326-330
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    James Glaisher, Factor Table for the Fourth Million. London, 1879; “Mode of construction of the table,” p. 9-17, including a description of sieves; “On factor tables,” p. 17-28. A. J. C. Cunningham, Mess. Math., v. 34, 1904, p. 24-31. D. N. Lehmer, Factor Table for the First Ten Millions. Washington, 1909, p. V, X-XIV (See MTAC, v. 2, p. 139-140). J. Henderson, in Factor Table by J. Peters, A. Lodge & E. J. Ternouth, & E. Gifford. London, 1935. L. E. Dickson, History of the Theory of Numbers. Washington, v. 1, 1919, p. 351. Biographisches-Literarisches Handwörterbuch z. Gesch. d. exacten Wissen., Leipzig, v. 1, 1863. To abbreviate, K = Kulik, B = Burckhardt, C = Chernac. A. M. Legendre, Essai sur la Théorie des Nombres. Paris, 1798, T.III, ${x^2} - a{y^2}$, up to $a = 79$, p. [477-483] and T.IV-V, ${x^2} + a{y^2}$, up to $a = 105$, p. [484-489].
  • D. N. Lehmer, Errors in Legendre’s tables of linear divisors, Bull. Amer. Math. Soc. 8 (1902), no. 9, 401–402. MR 1557919, DOI

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Article copyright: © Copyright 1947 American Mathematical Society