3 papers
math.NT2025
Coprimality of elements in regular sequences with polynomial growth
Jean-Marc Deshouillers, Sunil Naik
The investigation of primes in certain arithmetic sequences is one of the fundamental problems in number theory and especially, finding blocks of distinct primes has gained a lot o…
math.NT2025
On coprimality of consecutive elements in certain sequences
Jean-Marc Deshouillers, Sunil Naik
The study of finding blocks of primes in certain arithmetic sequences is one of the classical problems in number theory. It is also very interesting to study blocks of consecutive…
math.NT2024
Binary-ternary collisions and the last significant digit of in base 12
Jean-Marc Deshouillers, Pascal Jelinek, Lukas Spiegelhofer
The third-named author recently proved [Israel J. of Math. 258 (2023), 475--502] that there are infinitely many \textit{collisions} of the base-2 and base-3 sum-of-digits functions…