Togbe, Alain2024-09-242024-09-242017-01-010973-1377https://hdl.handle.net/11452/45102We give a survey on some results covering the last 60 years concerning Jesmanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Diophantine equation(20k)(x) + (99k)(y) = (101k)(z)has no solution other than (x, y, z) = (2, 2, 2).eninfo:eu-repo/semantics/closedAccessLinear-forms2 logarithmsTerais conjectureDiophantineJesmanowicz' conjectureExponential diophantine equationScience & technologyPhysical sciencesMathematics, appliedMathematicsArticle0004183765000044672566