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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A method of tabulating the number-theoretic function $g(k)$
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by Renate Scheidler and Hugh C. Williams PDF
Math. Comp. 59 (1992), 251-257 Request permission


Let $g(k)$ be the least integer $> k + 1$ such that all prime factors of $\left ( {\begin {array}{*{20}{c}} {g(k)} \\ k \\ \end {array} } \right )$ are greater than k. The function $g(k)$ appears to show quite irregular behavior and is hard to compute. This paper describes a method of computing $g(k)$, using sieving techniques, and provides a table of values of $g(k)$ for $k \leq 140$.
    L. E. Dickson, History of the theory of numbers, vol. 1, Chelsea, New York, 1966. E. F. Ecklund, Jr., P. Erdős, and J. L. Selfridge, A new function associated with the prime factors of $\left ( {\begin {array}{*{20}{c}} n \\ k \\ \end {array} } \right )$, Math. Comp. 28 (1974), pp. 647-649. P. Erdős, Some problems in number theory, Computers in Number Theory (A. O. L. Atkin and B. J. Birch, eds.), Academic Press, London, 1971, pp. 405-414.
  • P. Erdos, Uses of and limitations of computers in number theory, Computers in mathematics (Stanford, CA, 1986) Lecture Notes in Pure and Appl. Math., vol. 125, Dekker, New York, 1990, pp. 241–260. MR 1068538
  • A. J. Stephens and H. C. Williams, An open architecture number sieve, Number theory and cryptography (Sydney, 1989) London Math. Soc. Lecture Note Ser., vol. 154, Cambridge Univ. Press, Cambridge, 1990, pp. 38–75. MR 1055399
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 251-257
  • MSC: Primary 11Y70; Secondary 11N36
  • DOI:
  • MathSciNet review: 1134737