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math.NT2021
Only finitely many -Cullen numbers are repunits for a fixed
Michael Filaseta, Jon Grantham, Hester Graves
We show that for any integer , there are only finitely many -Cullen numbers that are repunits. More precisely, for fixed , there are only finitely many intege…
math.NT2021
Finding a Widely Digitally Delicate Prime
Jon Grantham
This paper describes the construction of the first explicitly known widely digitally delicate prime.
math.NT2021
On Integers Whose Sum is the Reverse of their Product
Xander Faber, Jon Grantham
We determine all pairs of positive integers such that and have the same decimal digits in reverse order: \[ (2,2), (9,9), (3,24), (2,47), (2,497), (2,499…