| _version_ | 1866901148730916864 |
|---|---|
| author | MOCHKO, LUIZ ALESSANDRO BITTENCOURT MOCHKO |
| author_facet | MOCHKO, LUIZ ALESSANDRO BITTENCOURT MOCHKO |
| contents | <p>This work presents the Mochko Primes Analytic Generator, a complete analytical framework for prime number generation and study. Instead of using sieves or divisibility tests, the method constructs a deterministic coprime field called Delta of B, obtained from the product of all primes up to a chosen limit. Each element of this field is automatically coprime with all smaller primes, forming a natural arithmetic structure that reproduces the prime sequence when extended with harmonic and logarithmic analysis.</p> <p>The generator achieves perfect precision and full coverage up to one hundred thousand and remains consistent with theoretical expectations for higher limits. The model also introduces the concept of the Delta log field, where prime distances follow a harmonic and logarithmic progression. This continuous approach allows primes to be described as analytical resonances rather than discrete exceptions.</p> <p>Developed by Luiz Alessandro Bittencourt Mochko, mathematics graduate from UFPR and electronic engineering student at Uniensino, this study unites number theory, logarithmic dynamics, and harmonic analysis into a unified analytical model for prime structure.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17538659 |
| institution | Zenodo |
| language | por |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Mochko Primes Analytic Generator MOCHKO, LUIZ ALESSANDRO BITTENCOURT MOCHKO Mochko theorem analytic prime generator coprime field Delta field logarithmic analysis harmonic resonance prime numbers analytical number theory continuous model arithmetic structure Delta log field spectral analysis prime distribution resonance model number theory research <p>This work presents the Mochko Primes Analytic Generator, a complete analytical framework for prime number generation and study. Instead of using sieves or divisibility tests, the method constructs a deterministic coprime field called Delta of B, obtained from the product of all primes up to a chosen limit. Each element of this field is automatically coprime with all smaller primes, forming a natural arithmetic structure that reproduces the prime sequence when extended with harmonic and logarithmic analysis.</p> <p>The generator achieves perfect precision and full coverage up to one hundred thousand and remains consistent with theoretical expectations for higher limits. The model also introduces the concept of the Delta log field, where prime distances follow a harmonic and logarithmic progression. This continuous approach allows primes to be described as analytical resonances rather than discrete exceptions.</p> <p>Developed by Luiz Alessandro Bittencourt Mochko, mathematics graduate from UFPR and electronic engineering student at Uniensino, this study unites number theory, logarithmic dynamics, and harmonic analysis into a unified analytical model for prime structure.</p> |
| title | Mochko Primes Analytic Generator |
| topic | Mochko theorem analytic prime generator coprime field Delta field logarithmic analysis harmonic resonance prime numbers analytical number theory continuous model arithmetic structure Delta log field spectral analysis prime distribution resonance model number theory research |
| url | https://doi.org/10.5281/zenodo.17538659 |