Fermat's Divisor Problem

Author

Eric W. Weisstein
August 8, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/DiophantineEquations/FermatsDivisorProblem.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/FermatsDivisorProblem.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Examples

FindInstance[DivisorSigma[1,x^3]==y^2&&x>0&&y>0,{x,y},Integers]

DivisorSigma[1,#1^3]==#2^2&@@@{{1,1},{7,20},{751530,1292054400}}

FindInstance[DivisorSigma[1,x^2]==y^3&&x>0&&y>0,{x,y},Integers]

DivisorSigma[1,#1^2]==#2^3&@@@{{1,1},{43098,1729}}