eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2019-01-23
10.46298/hrj.2019.5102
5102
journal article
On Pillai's problem with Pell numbers and powers of 2
Mohand Ouamar Hernane
Florian Luca
Salah Rihane
Alain TogbĂ©
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.
https://hrj.episciences.org/5102/pdf
Pell numbers
Linear form in logarithms
reduction method 2010 Mathematics Subject Classification primary 11B39
secondary 11J86
[ MATH ] Mathematics [math]
[ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT]