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math.NT2024
On the Sum of Squarefree Integers and a Power of Two
Christian Hercher
Erdos conjectured that every odd number greater than one can be expressed as the sum of a squarefree number and a power of two. Subsequently, Odlyzko and McCranie provided numerica…
math.NT2024
Triangular Numbers With a Single Repeated Digit
Christian Hercher, Karl Fegert
The question of which triangular numbers have a decimal representation containing a single repeated digit seamed to be settled since at least the 1970s: Ballew and Weger provided a…