Otro
Cycles in sums of prime factors
Autor
Zeleny, Enrique
Resumen
Knowledge about number theory and prime numbers Define the function sopfr that is the sum of the prime factors of n. The iteration of x->sopfr(ax+b) invariably (for the numbers explored) leads to closed loops of varying length for integers a and b. On the graph, the red dot indicates the beginning of the current cycle. It is not known if every iteration is eventually periodic, or if there is a finite number of limit cycles Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática