{"docId":5102,"paperId":5102,"url":"https:\/\/hrj.episciences.org\/5102","doi":"10.46298\/hrj.2019.5102","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01984492","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01984492v1","dateSubmitted":"2019-01-23 14:10:34","dateAccepted":"2019-01-23 15:23:44","datePublished":"2019-01-23 15:24:02","titles":{"en":"On Pillai's problem with Pell numbers and powers of 2"},"authors":["Ouamar Hernane\n, \nMohand","Luca\n, \nFlorian","Rihane\n, \nSalah\n, \n","Togb\u00e9\n, \nAlain"],"abstracts":{"en":"In this paper, we find all integers c having at least two representations as a difference between a Pell number and a power of 2."},"keywords":[{"en":"Pell numbers"},{"en":"Linear form in logarithms"},{"en":"reduction method 2010 Mathematics Subject Classification primary 11B39"},{"en":"secondary 11J86"},"\n[\nMATH\n] \nMathematics [math]","\n[\nMATH.MATH-NT\n] \nMathematics [math]\/Number Theory [math.NT]"]}