In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
@article{bwmeta1.element.doi-10_1515_math-2017-0125, author = {Liqun Hu and Li Yang}, title = {On pairs of equations in unlike powers of primes and powers of 2}, journal = {Open Mathematics}, volume = {15}, year = {2017}, pages = {1487-1494}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0125} }
Liqun Hu; Li Yang. On pairs of equations in unlike powers of primes and powers of 2. Open Mathematics, Tome 15 (2017) pp. 1487-1494. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0125/