Banca de DEFESA: FELIPE JÚNIO SANTOS ALVES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : FELIPE JÚNIO SANTOS ALVES
DATE: 30/08/2022
TIME: 18:00
LOCAL: On line
TITLE:

Special Prime Number Patterns through Geometric Arrangements: The n−triangle of Squares

KEY WORDS:

Prime Numbers, n−square Zeta, Prime Number Paths, Pattern, n−triangle of Squares.

PAGES: 53
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Matemática Discreta e Combinatória
SUMMARY:

Mathematics presents a series of open problems, which instigate many scholars and lovers to find solutions or methods that facilitate their study. We present in this work, a study about prime numbers; that stand out among the most recurrent problems. It is known that there are no formulas to prove whether or not a very large number is prime, or that only returns these numbers. However, there are polynomials that express some sequences of prime numbers and some geometric representations, such as the Ulam spiral and the n−square Zeta, which provide for possible arrangements of prime numbers over natural numbers. We will deal here with some geometric representations; which are specific ways of arranging the natural numbers in Plane Geometry figures, following pre-established and defined filling forms, and from then on, identifying sequences of prime numbers, relating them to quadratic polynomials. A study on these methods is proposed, as well as the importance of their application, as an alternative to approach prime numbers and their study. Nevertheless, we will address issues inherent to the understanding of the method, such as a brief approach to recurrences and polynomials, as well as some historical observations of prime numbers.

BANKING MEMBERS:
Presidente - 1671327 - JORGE ANDRES JULCA AVILA
Interno - 1758734 - JOSE ANGEL DAVALOS CHUQUIPOMA
Externo à Instituição - GERMAN JESUS LOZADA CRUZ - UNESP