On a conjecture of Graham on the p-divisibility of central binomial coefficients

Series
Combinatorics Seminar
Time
Friday, September 16, 2022 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 202
Speaker
Ernie Croot – Georgia Institute of Technology – https://ecroot.math.gatech.edu/
Organizer
Anton Bernshteyn

I will discuss an old conjecture of Ron Graham on whether there are infinitely many integers n so that gcd((2nn),105)=1, as well as recent progress on a version of this problem where 105 is replaced with a product of r distinct primes. This is joint work with Hamed Mousavi and Maxie Schmidt.