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The square root of $2$ to $1,000,000$ decimals

Author: Jacques Dutka
Journal: Math. Comp. 25 (1971), 927-933
MSC: Primary 65A05
MathSciNet review: 0298857
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Abstract: The square root of 2 has been calculated to 1,000,000 decimals on a large-scale digital computer and the result has been verified. The calculation was based on a specially developed algorithm for square roots which does not appear to have been used in previous computations of this type.

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

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  • Horace S. Uhler, Many-figures approximations to $\sqrt {2}$, and distribution of digits in $\sqrt {2}$ and $1/\sqrt {2}$, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 63–67. MR 38717, DOI
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Keywords: Square root of 2, quadratically convergent algorithm, Pell equation
Article copyright: © Copyright 1971 American Mathematical Society