Saturday – Apr 20
Location: Fenton Hall

 Time:
 3:00 pm – 3:25 pm
 Title:
 Continuity in excluded/included set topologies
 Speaker:
 Sophia Tiffany (SUNY Brockport)
Abstract
We discuss when is a nonconstant function continuous in certain topologies defined in terms of including or being disjoint from a set.

 Time:
 3:00 pm – 3:25 pm
 Title:
 A conjecture of Bencze and Lorentz
 Speaker:
 Elizabeth Ervin (SUNY Brockport)
Abstract
We disproved a 25 years old conjecture about the maximum of the difference between consecutive prime numbers risen to a power.

 Time:
 3:00 pm – 3:25 pm
 Title:
 A bound for the difference of consecutive primes
 Speaker:
 Brooke Beetow (Brockport )
Abstract
We establish an inequality relating the difference of consecutive primes with the cubic root of one of them.

 Time:
 3:00 pm – 3:25 pm
 Title:
 Comparing prime numbers of high order
 Speaker:
 Alyvia Neu (Brockport)
Abstract
We analyze the behavior of the prime numbers having a rank which is either a square or a cube. We will present some inequalities that will give certain estimates of these prime numbers.

 Time:
 3:00 pm – 3:25 pm
 Title:
 Improving and reversing the AM  GM inequality
 Speaker:
 Andrew Bickford (SUNY Brockport)
Abstract
We will show two types of inequalities depending on some parameters. One type improves the AM  GM inequality while the other one reverses it.

 Time:
 3:00 pm – 3:25 pm
 Title:
 Comparing functions of prime numbers with different orders of magnitude
 Speaker:
 Katelyn Roland (SUNY Brockport)
Abstract
We look into how the squaring of the index and the square root of the number affects the rate of growth of the sequence of prime numbers.