Rachel Burke

*Butler University***Faculty Sponsor(s):**Ankur Gupta

*Butler University*, Jonathan Webster

*Butler University*

Our previous implementation utilized the tests for perfect difference sets developed by T. Evans and H. Mann. After reorganizing tests according their run time, we eliminated numbers more quickly and verified the Prime Power Conjecture up to n < 1,000,000,000. As this program encountered storage constraints, we cleverly restructured a new program to leverage residue classes.

Mathematics & Computer Science

Oral Presentation