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.

Revised:

Accepted:

Published online:

Yuhui Liu ^{1}

@article{CRMATH_2020__358_4_393_0, author = {Yuhui Liu}, title = {On pairs of equations involving unlike powers of primes and powers of 2}, journal = {Comptes Rendus. Math\'ematique}, pages = {393--400}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {4}, year = {2020}, doi = {10.5802/crmath.5}, language = {en}, }

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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