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Mathematics of Computation

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



Euler's constant to $ 1271$ places

Author: Donald E. Knuth
Journal: Math. Comp. 16 (1962), 275-281
MSC: Primary 10.41
MathSciNet review: 0148255
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Abstract: The value of Euler's or Mascheroni's constant

$\displaystyle \gamma \,=\,\underset{n\to \infty }{\mathop{\lim }}\,\,(1\,+\,\tfrac{1}{2}\,+\,\cdots \,+\,({1}/{n})\,-\,\ln \,n)$

has now been determined to 1271 decimal places, thus extending the previously known value of 328 places. A calculation of partial quotients and best rational approximations to $ \gamma $ was also made.

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Article copyright: © Copyright 1962 American Mathematical Society