Runs of integers with constant values of the Carmichael function

Noah Lebowitz-Lockard, J. C. Saunders

In 2023, the first author and Vandehey proved that the largest $k$ for which the string of equalities $\lambda (n+1)=\lambda (n+2)=\cdots =\lambda (n+k)$ holds for some $n\le x$, where $\lambda$ is the Carmi…