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Mathematics of Computation

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Quintuples with square triplets

Author: Stan Wagon
Journal: Math. Comp. 64 (1995), 1755-1756
MSC: Primary 11E25; Secondary 11D09, 11Y55
MathSciNet review: 1308462
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Abstract: By applying modern computing power to an 1848 formula of C. Gill, we find five positive integers, every three of which sum to a square.

References [Enhancements On Off] (What's this?)

  • [1] L. E. Dickson, History of the theory of numbers, Vol. 2, Chelsea, New York, 1971.
  • [2] C. Gill, Application of the angular analysis to the solution of indeterminate problems of the second degree, Wiley, New York, 1848.
  • [3] Richard K. Guy, Unsolved problems in number theory, 2nd ed., Problem Books in Mathematics, Springer-Verlag, New York, 1994. Unsolved Problems in Intuitive Mathematics, I. MR 1299330

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Article copyright: © Copyright 1995 American Mathematical Society

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