# Catalan’s Conjecture

Mihailescu’s paper has now been verified as correct and proof of Catalan’s conjecture (Mihailescu 2004; Metsänkylä 2003).

This manuscript was reportedly sent on April 2002 to several mathematicians, (Poorten 2002) along with an expository paper / summary by Yuri Bilu (Bilu and Collectif 2004).

As usual in mathematics and science, the proof wasn’t created in a vacuum. There had been several papers on possible exceptions, special cases and conditions for the conjecture to hold (Weisstein 2002).

# References and Bibliography

Bilu, Yuri, and Collectif. 2004. “Catalan’s Conjecture.” In *Séminaire Bourbaki : Volume 2002/2003, Exposés 909-923*, 1–26. Astérisque 294. Paris: Association des amis de Nicolas Bourbaki, Société mathématique de France. http://www.numdam.org/item/SB_2002-2003__45__1_0.

Metsänkylä, Tauno. 2003. “Catalan’s Conjecture: Another Old Diophantine Problem Solved.” *Bulletin of the American Mathematical Society* 41 (01): 43–58. https://doi.org/10.1090/s0273-0979-03-00993-5.

Mihailescu, P. 2004. “Primary Cyclotomic Units and a Proof of Catalans Conjecture.” *Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)* 2004 (572). https://doi.org/10.1515/crll.2004.048.

Poorten, Alf van der. 2002. “Concerning: Catalan’s Conjecture Proved?” May 5, 2002. https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;1a7d7d4.0205&S=.

Weisstein, Eric W. 2002. “MathWorld Headline News—Draft Proof of Catalan’s Conjecture Circulated.” May 5, 2002. https://mathworld.wolfram.com/news/2002-05-05/catalan/.

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