William Calhoun to present “Fun with Primes and Trees”

BLOOMSBURG—Bloomsburg University of Pennsylvania faculty member William Calhoun, Ph.D. will present “Fun with Primes and Trees” in the mathematical and digital sciences seminar on Tuesday, March 26, from 3:30 to 4:30 p.m. in Navy Hall, room 207.

The first topic of the talk is prime numbers. They have been studied for thousands of years, meaning that most questions about them have either been solved or identified as hard. Using some simple integrals as a guide, Calhoun has come across related questions that might not be as hard, such as whether there are infinitely many Mersenne Twin Primes and whether there are infinitely many Twin Mersenne primes.

In the second part of the talk, Calhoun will present a new perspective on “Minimal Distinct Distance Trees” and “Perfect Distance Forests,” works that he completed with other department faculty 10 years ago. The new perspective is to start with a set of integers and determine whether there is a weighted tree that realizes the set as distances. Proofs of some results will be given, but there are many interesting open questions. 

The Department of Mathematical and Digital Sciences is sponsoring the event.

Bloomsburg University is one of 14 universities in Pennsylvania’s State System of Higher Education. The university serves approximately 8,900 students, offering comprehensive programs of study in the colleges of Education, Business, Liberal Art and Science and Technology.