Produced by Thomas Papanikolaou
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, 1996by using a Sun Sparc20 in 7 day 7 hour 14 min 52 sec 71 hsecThe algorithm used is the standard series for Catalan, acceleratedby 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 numbertheory and it will be part of the multiprecision floating-point arithmetic ofthe package in release 1.4. LiDIA is available from
ftp://crypt1.cs.uni-sb.de/pub/systems/LiDIA/LiDIA-1.2.1.tgzhttp://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
Catalan =.91596559417721901505460351493238411077414937428167213426649811962176301977625\476947935651292611510624857442261919619957903589880332585905943159473748115840\699533202877331946051903872747816408786590902470648415216300022872764094238825\995774150881639747025248201156070764488380787337048990086477511322599713434074\854075532307685653357680958352602193823239508007206803557610482357339423191498\298361899770690364041808621794110191753274314997823397610551224779530324875371\878665828082360570225594194818097535097113157126158042427236364398500173828759\779765306837009298087388749561089365977194096872684444166804621624339864838916\280448281506273022742073884311722182721904722558705319086857354234985394983099\191159673884645086151524996242370437451777372351775440708538464401321748392999\947572446199754961975870640074748707014909376788730458699798606448749746438720\623851371239273630499850353922392878797906336440323547845358519277777872709060\830319943013323167124761587097924554791190921262018548039639342434956537596739\494354730014385180705051250748861328564129344959502298722983162894816461622573\989476231819542006607188142759497559958983637303767533853381354503127681724011\814072153468831683568168639327293677586673925839540618033387830687064901433486\017298106992179956530958187157911553956036689036990493966753843775810493189955\385516262196253316804016273752130120940604538795076053827123197467900882369178\615573389124417223833938148120775994298491724397668575632718068808279982979378\849432724934657607490543874819526813074437046294635892810276531705076547974494\839948959477092788591195848724127866084088554597823812492260505610094584486698\958576871611171786662336847409949385541321093755281815525881591502228244454441\718609946588151766496078223678970519269711312571375454370124329673057246845015\819313016087766215650957554679666786617082347682558133518681937745650014565261\704096074688953930234791980600084245562175108423471736387879369577878440933792\219894575340961647424554622478788002922914803690711527079554550541478268849818\524600581446651786814231541148785540996651673853972761469701690439151149008933\307918457465762099677548123138201543601098852721629770108761574781735641636985\703553406726493519631695547672115077723159004483382605161163834308651397972251\617413853812932480119463625188008403981945539055182104246062921852175602465486\019297672397405110395264569242978642124240375189267872960271773378738379978