2016/09/26 by Bugeaud, Yann
#11A63 #11J86 #11J87 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1609.07926
Let b ≥ 2 be an integer. Not much is known on the representation in base b of prime numbers or of numbers whose prime factors belong to a given, finite set. Among other results, we establish that any sufficiently large integer which is not a multiple of b and has only small (in a suitable sense) prime factors has at least four nonzero digits in its representation in base b.