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

- Series
- Combinatorics Seminar
- Time
- Friday, September 16, 2022 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 202
- Speaker
- Ernie Croot – Georgia Institute of Technology

I will discuss an old conjecture of Ron Graham on whether there are infinitely many integers $n$ so that $\mathrm{gcd}({{2n} \choose n}, 105)=1$, 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.