PNC Math Club Discusses Diophantine Quintuple Conjecture

PNCThe Purdue University North Central Math Club will host its first presentation of the semester, on Monday, Sept. 21, at noon in Library-Student-Faculty Building Room 170A, located adjacent to the PNC cafeteria. The event is free and open to the public. Guests may bring a lunch or purchase one in the cafeteria. Directions to PNC and a campus map can be found at

The guest speaker will be Dr. Alan Filipin, professor of Mathematics at University of Zagreb, Croatia. He is currently here visiting Dr. Alain Togbe, PNC professor of Mathematics and Math Club faculty advisor.

Filipin was a keynote speaker at the November, 2014 international conference “Diophantine m-tuples and Related Problems” held at PNC.

Math Club members and campus guests will hear Filipin discuss, “On the Diophantine Quintuple Conjecture.”

Filipin previewed his presentation in an abstract, explaining, “Let n be a non-zero integer. We call the set of m positive integers a Diophantine m-tuple if the product of any of its two distinct elements increased by 1 is a perfect square. There is a folklore conjecture that there does not exist a Diophantine quintuple. Actually, there is a stronger version of that conjecture, that every Diophantine triple has a unique extension to a quadruple with a larger element. In this talk, we will illustrate the proof of the stronger version of the conjecture for the triple, 1,3,8. We will also present the latest results on non-existence of Diophantine quintuple.”

The PNC Math Club encourages persons of all interests who have a curiosity about Math to attend and learn more. Non-Math majors are also welcome and questions are encouraged.

The club meets throughout the academic year and sponsors discussions and informational presentations on various aspects of mathematics and related fields. All events are open to the public.

Additional information about this event may be obtained by contacting Togbe, at 219-785-5458 or Persons with disabilities requiring accommodations should contact Togbe.