Euler’s constant to $1271$ places
Author:
Donald E. Knuth
Journal:
Math. Comp. 16 (1962), 275281
MSC:
Primary 10.41
DOI:
https://doi.org/10.1090/S0025571819620148255X
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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© Copyright 1962
American Mathematical Society