Comptes Rendus
no. 4
Théorie des nombres
On pairs of equations involving unlike powers of primes and powers of 2
Yuhui Liu1
1 School of Mathematical Sciences, Tongji University, Shanghai, 200092, P. R. China
Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 393-400.

In this paper, it is proved that every pair of sufficiently large even integers can be represented by a pair of equations, each containing one prime, one prime square, two prime cubes and 302 powers of 2. This result constitutes a refinement upon that of L. Q. Hu and L. Yang.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.5
Classification : 11P32, 11P55
Yuhui Liu 1

1 School of Mathematical Sciences, Tongji University, Shanghai, 200092, P. R. China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Yuhui Liu. On pairs of equations involving unlike powers of primes and powers of 2. Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 393-400. doi : 10.5802/crmath.5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.5/

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