← Catalan's Constant to 1,500,000 Places

Catalan's Constant to 1,500,000 Places (part 1 of 2)

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Source: Project Gutenberg e-text #812, public domain in the United States · text not rewritten or summarized · How RedLectern is built

 

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Catalan's Constant to 1,500,000 Places

See also: Catalan's Constant [Ramanujan's] PG#682

The algorithm used is the one presented by Greg Fee on ISSAC '90 (using only integer arithmetic in the main loop). Again, I have verified the previous 1000100-digit value using LiDIA and text comparison.

Best Thomas Papanikolaou

Catalan constant to 1500000 digits computed on October 26, 1996 by using a Sun Sparc20 in 7 day 7 hour 14 min 52 sec 71 hsec The algorithm used is the standard series for Catalan, accelerated by an Euler transform as shown by

Greg Fee, ACM 1990, Proceedings of the ISAAC conference, 1990, p. 157

The algorithm was implemented using the LiDIA library for computational number theory and it will be part of the multiprecision floating-point arithmetic of the package in release 1.4. LiDIA is available from

ftp://crypt1.cs.uni-sb.de/pub/systems/LiDIA/LiDIA-1.2.1.tgz http://www-jb.cs.uni-sb.de/LiDIA/linkhtml/lidia/lidia.html

Here is the output of the program:

Calculating Catalan's constant to 1500000 decimals

Time required: 7 day 7 hour 14 min 52 sec 71 hsec

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