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Mathematics of Computation

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Computer-generated van der Waerden partitions

Authors: R. S. Stevens and R. Shantaram
Journal: Math. Comp. 32 (1978), 635-636
MSC: Primary 10A45; Secondary 10-04
MathSciNet review: 0491468
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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 [Enhancements On Off] (What's this?)

  • 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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Article copyright: © Copyright 1978 American Mathematical Society