Classical and modular approaches to exponential Diophantine equations   II. The Lebesgue-Nagell equation
  We solve completely the Lebesgue-Nagell equation x^2+D=y^n, in integers x, y, n>2, for D in the range 1 =< D =< 100. 
Yann Bugeaud, Maurice Mignotte, Samir Siksek