Two Prime Number Objects and The Velucchi Numbers

César Aguilera (1)

1 IPN - Instituto Politecnico Nacional [Mexico]

We explore two mathematical objects related to prime numbers, a sequence and a pythagorean triangle, we take the sequence and analyze thoroughly to find some properties-we talk about Twin Primes-then we connect these properties to the triangle and we pass to the Velucchi Numbers, we explore them and finally we get an algorithm to obtain their sequence.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

César Aguilera. Two Prime Number Objects and The Velucchi Numbers. 2023. ⟨hal-02909691v2⟩