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Cross of prime number occurrences - prime number geometric exclusion field

Authors: Berger, Adam;

Cross of prime number occurrences - prime number geometric exclusion field

Abstract

I wanted to introduce you to a work on prime numbers, specifically why they appear there and why they appear there and not elsewhere. I'm starting with 3 as the right-hand prime number, because it wasn't excluded by the previous prime, 2. The rest of the work, presenting the concept, formulas, and the prime number cross, can be found in the attached PDF. Enjoy reading. Chciałem Państwa zapoznać z pracą na temat liczb pierwszych, a dokładniej dlaczego się pojawiają i dlaczego tam, a nie gdzie indziej. Zaczynam od 3 jako liczby pierwszej od prawj strony, ponieważ nie została wykluczona przez poprzednią liczbę pierwszą jaką jest 2. Reszta przedstawiająca koncepcję, wzory oraz krzyż liczb pierwszych w załączonym PDF. Miłej lektury. Euklides, Eratostenes, Bernhard Riemann, Pierre de Fermat, Leonhard Euler, Christian Goldbach, Stanisław Ulam, Wacław Sierpiński, Henryk Iwaniec, Diofantos, Carl Friedrich Gauss, Adrien-Marie Legendre, Andrew Wiles, Srinivasa Ramanujan, G. H. Hardy, Sundaram 

Keywords

Henryk Iwaniec, Linnik dispersion method Type II + dispersion method primes Type II, najmniejszy dzielnik pierwszy P−(n)P−(n), cross sieve, Adrien-Marie Legendre, Goldbach redukcja warunkowa, Lewulis theorem, teoria sit, twin pairs of prime numbers, liczby pierwsze bliźniacze, D. A. Goldston, J. Pintz and C. Y. Yıldırım, Andrew Wiles, Stanisław Ulam, Bernstein, prime number sieve, An MRD-Q2 manuscript on Liouville fluctuations, rough numbers, off-diagonal energy, prime triples q, r, qr-2, and a claimed twin-prime consequence., Eratostenes, H. L. Montgomery and R. C. Vaughan,, A. F. Möbius, rough numbers, Chen-Type Pairs, stany energetyczne liczb pierwszych, V. Brun, Goldbach conditional reduction, Prime numbers, Eratosthenes' sieve, G. Greaves, (4-(m-Chlorophenylcarbamoyloxy)-2-butynyl)trimethylammonium Chloride, Bezwarunkowa alternatywa Chena-Lewulisa: nieskończenie wiele bliźniaków lub trójek pierwszych q, r, qr-2, ze specjalizacją modulo 8610., funkcja Möbiusa, H.A.Helfgott, product-quadratic transformation, pary bliźniacze littlewood, P. D. T. A. Elliott and H. Halberstam,, energia pozadiagonalna, circular cross sieve, Carl Friedrich Gauss, H. Iwaniec and E. Kowalski, funkcja Liouville'a, Buchstab identity sieve, problem parzystości w metodach sitowych, prime leaf matrix, inverse criterion for twin primes, D. H. J. Polymath, trójki liczb pierwszych q r qr minus 2, twierdzenie Lewulisa, transformacja iloczynowo-kwadratowa, wielomian 12m² minus 1, sito wektorowe / sito wielowymiarowe (dwie formy liniowe), twin primes, reguła krzyża (minimalny eliminator, wejście od p2p2), primes in arithmetic progressions, semipierwsze i liczby pierwsze, funkcja Buchstaba ω(u)ω(u), Chen's theorem prime plus semiprime, Diofantos, par typu Chena, shifted convolution cd-ab=h Kuznetsov delta method Kloosterman, Sundaram, pary bliźniacze, prime triples q r qr minus 2, Euklides, E-M-Wright, liczby pierwsze Chena, A. Selberg, August Ferdinand Möbius, Srinivasa Ramanujan, Matomaki-Radziwill-Tao theorem, geometric exclusion field, modulo 8610, Wacław Sierpiński, Buchstab function ω(u), pary bliźniacze liczb pierwszych, D.~A.~Goldston, Bateman–Horn conjecture, sieve theory, J. Maynard, G. H. Hardy and E. M. Wright, primes and semiprimes, Paweł Lewulis, G. Tenenbaum, twierdzenie Chena, MRD-Q2, Liouville function, sito liniowe (sito Rossera–Iwaniec), fundamentalne twierdzenie sita (fundamental lemma), rough numbers + sieve + Buchstab, classification of prime pairs, Riemann, least prime factor decomposition sieve, geometric-exclusion-field, Lewulis, . Matomäki, J. Teräväinen, tożsamość Buchstaba + rozkład Buchstaba, Adam Berger mathematics Poland, twin pairs, liczby rough (liczby bez małych dzielników), unconditional alternative, G-H-Hardy, fundamental lemma of sieve + linear sieve, sito liczb pierwszych, An unconditional Chen-Lewulis alternative: infinitely many twin primes or infinitely many prime triples q, r, qr-2, including a specialization modulo 8610., energy states, Chen Jingrun, geometryczne-pole-wykluczen, J. Friedlander and H. Iwaniec, Mobius function, twierdzenie Matomäki-Radziwiłł-Tao, energy states of prime numbers, L. E. Dickson, Gallagher, C. Goldbach, List do Leonharda Eulera, Local structure of prime numbers in short blocks of integers cleaned by the sieves 2,3,5 and 3,5,7, sito krzyża, twin couples littlewood, Atkin, off-diagonal energy, K. Soundararajan, C. Goldbach, list do L. Eulera, T. M. Apostol, Chen primes in arithmetic progressions, P. T. Bateman and R. A. Horn, Manuskrypt MRD-Q2 o fluktuacjach Liouville'a, liczbach szorstkich, energii pozadiagonalnej, trójkach q, r, qr-2 i wniosku o bliźniakach., Goldbach, vector sieve two linear forms+dimension 2 sieve linear forms, parity problem sieve, Adam Berger matematyka Polska, Leonhard Euler, metoda dyspersyjna (dyspersja Linnikowa), składnik Type II, geometryczne pole wykluczen, macierz liścia liczb pierwszych, sito Eratosthenes, Pierre de Fermat, polynomial 12m² minus 1, A. Berger, sito kołowo krzyżowe, two-leaf sieve, G. H. Hardy and J. E. Littlewood,

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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