Number Theory

    

An Affluent Prime Reservoir (or Induction Lens)

Authors: Arthur V. Shevenyonov

A simple yet productive primes-generating relationship is proposed that amounts to a ‘qualitative recursion’ and arises from the [author’s] metaphor of a Prime Reservoir: p=p0*2^k*3^l-2^a*5^b. The study builds on one the size of 100 which can arbitrarily be re-scaled at various fill-in rates to accommodate prime sums (befitting the smaller primes) versus differences (pertaining to the larger ones yet to be reconsidered in terms of sums). The implied kernel X=p0 likewise proves to be prime, a^+b+k^+l=odd routinely promising primality.

Comments: 3 Pages. effective PG algorithm/structure

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Submission history

[v1] 2022-04-16 15:50:55

Unique-IP document downloads: 132 times

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