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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.

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Computer-generated van der Waerden partitions
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by R. S. Stevens and R. Shantaram PDF
Math. Comp. 32 (1978), 635-636 Request permission

Abstract:

An exhaustive search made on a PDP-8 mini-computer shows the value of the van der Waerden number $n(2,5)$ to be 178.
References
  • V. Chvátal, Some unknown van der Waerden numbers, Combinatorial Structures and their Applications (Proc. Calgary Internat. Conf., Calgary, Alta., 1969) Gordon and Breach, New York, 1970, pp. 31–33. MR 0266891
  • A. Y. Khinchin, Three pearls of number theory, Graylock Press, Rochester, N.Y., 1952. MR 0046372
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Math. Comp. 32 (1978), 635-636
  • MSC: Primary 10A45; Secondary 10-04
  • DOI: https://doi.org/10.1090/S0025-5718-1978-0491468-X
  • MathSciNet review: 0491468