[VA] Short & Sweet Math Challenge #25 "San Valentin's Special: Weird Math"

[Namir]

Regarding the weird sum that uses primes, I used Matlab to calculate each term and the updated sum. The sum seems to reach the asymptotic value of 9.90099737e-04.

The value of 2021, which I will call the Albillo Parameter helps the summation to reach the assumptotic value at the prime of 7. The smaller values of the Albillo Parameter will delay the summation from reach an assymptotic value (which depends on the Albillo Parameter). For example if the Albillo Parameter is, say, 101, the summation reaches the assymptotic value of 2.00059191e-02 at prime of 23.

My main focus is on the sumamtion in general and the role that the Albillo Parameter plays.

My own question is what is the relationship between the summation's assymptotic value and the value of the Albillo Parameter?

Cool summation!!!!

:-)

Namir