Right-angled triangles with almost prime hypotenuse
Speaker:
Cihan Sabuncu, Université de Montréal
Date and Time:
Friday, June 14, 2024 - 4:05pm to 4:30pm
Location:
Fields, 210
Abstract:
The sequence OEIS A281505 (3, 5, 9, 11, 15...) consists of distinct odd legs in right triangles with integer sides and prime hypotenuse. In 2017, Chow and Pomerance studied the number of even legs with prime hypotenuse, and also conjectured the order of magnitude of this set up to a double logarithmic factor. In this talk, we are focusing on even legs with almost prime hypotenuse. We will obtain a strong version of the appropriate analogy to the conjecture of Chow and Pomerance (stated there for prime hypotenuse), and establish the order of magnitude for the size of this set.