Ten short algebraical notes -5. The surprises never end

5. The surprises never end

The relative variation of Pr for the sequence of numbers first does not seem significant to me. It would take Srinivasa Ramanujan to understand what it is hidden in the calculation of the relative change of Pr applied to prime numbers. Certainly, the two families of numbers, prime and Fibonacci, do not get along very well. I tried to apply the Pr indicator to a sequence obtained as a linear combination, k * (prime number) + (1-k) * (Fibonacci number), with k real number. The value of the relative change of Pr, also with k close to one, tends to the typical value of the golden section as if prime numbers did not exist. Prime numbers do not there is a trace, they seem engulfed by Fibonacci numbers even if their weight in the previous linear combination is reduced to almost zero! Clearly, the situation gets complicated, and a lot, if so they contemplate classes of four or five elements, even now which, finally, starting from the beginning of this year, too the penultimate term of the shifted fifth-degree equation, seventy monomials of the fourth degree, has been reduced to one formulation accessible to all. This extension, however, is another story that I will tell in the future.