Condition de primalité des nombres entiers
Relation avec la formule de Stirling et le Grand Théorème de Fermat.

André MAÏSSEU
(free loading french copy)

Articles précédents
"On prime numbers"

André MAÏSSEU - Benoît MAÏSSEU

ВЕСТНИК НАЦИОНАЛЬНОГО ИССЛЕДОВАТЕЛЬСКОГО ЯДЕРНОГО УНИВЕРСИТЕТА “МИФИ”, 2019, том 8, № 2, с. 175–178

Vestnik Natsional’nogo issledovatel’skogo yadernogo universiteta “MIFI”, 2019, vol. 8, no. 1, p. 175–178

Abstract:

The article addresses the problem of the representation of prime numbers. It is known that primes P > 3 are represented by the equation P = 6 ⋅ N ± 1, where N is an integer. However, not for all integers N, P is a prime number. The article proposes a representation of primes in the form of a hypothesis using the representation of an integer N through rational and irrational numbers. Thus, the article provides a scheme for the representation of primes using formulas depending on the values of the parameter numbers included in the proposed formulas. Within the framework of the proposed scheme, the classification of primes into groups is given. Two times six main basic groups are identified, through which further groups of prime numbers are cyclically formed. The authors of the article hope that the representation of primes proposed in it can be proved strictly mathematically and will find application in solving problems of the theory of numbers

Keywords:

prime numbers, composite number, rational, irrational, classification, groups

FREE LOADING : "On prime numbers"

DOI: 10.1134/S2304487X19010085