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Detalles del recurso


There are infinitely many pairs of consecutive primes which differ by even number En.Let Po(N, En) be the number of Polignac Prime Pairs (which difference by the even integer En) less than an integer (N+En), Pei be taken over the odd prime divisors of the even integer En less than √(N+En), Pni be taken over the odd primes less than √(N+En) except Pei, Pi be taken over the odd primes less than √(N+En), then exists the formulas as follows: ¶ Po(N, En) ≥ INT {N × (1-1/2) × Π (1-1/Pei) × Π (1-2/Pni)} - 1 ¶ ≥ INT {Ctwin × Ke(N) × 2N/(Ln (N+En))^2} - 1 ¶ Po(N, 2) ≥ INT {0.660 × 1.000 × 2N/(Ln (N+2))^2} - 1 ¶ Π (Pi(Pi-2)/(Pi-1)^2) ≥ Ctwin=0.6601618158… ¶ Ke(N)=Π( (1-1/Pei)/(1-2/Pei))=Π( (Pei-1)/(Pei-2)) ≥ 1 ¶ where -1 is except the natural integer 1.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  


Sha, YinYue - 

Id.: 70079502

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras clavetwin prime - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2016 OMICS International

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 2090-0899
[References] 2090-0902

Fecha de contribución: 10-sep-2017


* J. Phys. Math.
* doi:10.4172/2090-0902.1000201

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