Catalan's Conjecture/Historical Note

Historical Note on Catalan's Conjecture

Catalan's Conjecture was first put forward by Eugène Charles Catalan in $1844$.

The case where $x$ and $y$ are $2$ and $3$ was proved in $1344$ by Levi ben Gershon.

A proof was finally published in $2004$ by Preda V. Mihăilescu.

Also see

• Historical Note on Consecutive Integers which are Powers of 2 or 3

Sources

• 1944: Eugène Catalan: Note extraite d'une lettre adressée à l'éditeur (J. reine angew. Math. Vol. 27: p. 192)
• 2004: Preda Mihăilescu: Primary Cyclotomic Units and a Proof of Catalan's Conjecture (J. reine angew. Math. Vol. 572: pp. 167 – 195)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Catalan's conjecture