The Catalan conjecture  

Page maintained by Jean-Claude Evard. Last update: May 26, 2003.

1. Presentation of the Catalan's conjecture on MathPages  Link .  
2. Review  Link  published in the Bulletin of the American Mathematical 
    Society, Vol. 32, No. 1, January 1995, pp. 110--112 of the book 
    Catalan's conjecture, Paulo Ribenboim, Academic Press, 1994, xv +364 pp.

On April 18, 2002, Preda Mihailescu submitted a manuscript 
for a proof of the Catalan conjecture. 
Additional information:
1.   Version 10.0 of July 10, 2002, of the draft of Preda Mihailescu  Link .
2.   Web site of Preda Mihailescu  Link  at the University of Paderborn, 
      in Germany, in the Research Group Algorithmic Mathematics  Link . 
3.   Announcement by Preda Mihailescu  Link , 
      on the Web site of that Mathematical Association of America. 
4.   Comments  Link  on the Web page MathWorld-Headline News:, 
      maintained by Eric Weisstein at Wolfram Research.
5.   Comments  Link  by Chris Caldwell 
      at the University of Tennessee at St. Martin.
6.   Announcement  Link  posted on the Web site Limsup on May, 7, 2002.
7.   Science News Online,  Zeroing  In on the Catalan Conjecture, 
      by Ivars Peterson, Week of Dec. 2, 2000; Vol. 158, No. 23  Link .   
8.   Science News Online,  Zeroing  In  on the Catalan Conjecture, 
      by Ivars Peterson, December 23--30, 2000, Vol. 158, No 26--27  Link .   
9.    New favorable commentary, from Yuri F. Bilu:  Science News,  
      Conquering  Catalan's Conjecture,  by Ivars Peterson, 
      June 22, 2002, Vol. 161, No 25  Link .   
10.  Preprint by Yuri F. Bilu  at the University of Bordeaux, France: Catalan's 
      conjecture (after Mihailescu),  July 18, 2002, 14 pages, 19 references: 
      See selected publication [15] on the home page of Yuri F. Bilu  Link . 

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