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Euler’s constant to $1271$ places


Author: Donald E. Knuth
Journal: Math. Comp. 16 (1962), 275-281
MSC: Primary 10.41
DOI: https://doi.org/10.1090/S0025-5718-1962-0148255-X
MathSciNet review: 0148255
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Abstract: The value of Euler’s or Mascheroni’s constant \[ \gamma = \underset {n\to \infty }{\lim } (1 + \tfrac {1}{2} + \cdots + ({1}/{n}) - \ln n)\] 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