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We show that there are arbitrarily large sets $S$ of $s$ primes for which the number of solutions to $a+1=c$ where all prime factors of $ac$ lie in $S$ has… Click to show full abstract
We show that there are arbitrarily large sets $S$ of $s$ primes for which the number of solutions to $a+1=c$ where all prime factors of $ac$ lie in $S$ has $\gg \exp( s^{1/4}/\log s)$ solutions.
Keywords:
solutions unit;
unit equation;
many solutions
Journal Title: Acta Mathematica Hungarica
Year Published: 2019
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Journal Title: Acta Mathematica Hungarica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!