Romanoff theorem in a sparse set

Chen J R. On the Goldbach’s problem and the sieve methods. Sci Sinica Ser A, 1978, 21: 701–739

Chen Y G. On integers of the forms k ± 2n and k2n ± 1. J Number Theory, 2007, 125: 14–25

Chen Y G, Sun X G. On Romanoff’s constant. J Number Theory, 2004, 106: 275–284

Davenport H. Multiplicative Number Theory, 2nd ed. New York: Springer, 1980

Erdős P. On integers of the form 2n + p and related problems. Summa Brasil Math, 1950, 2: 113–123

Lü G S. On Romanoff’s constant and its generalized problem. Adv Math (Beijing), 2007, 36: 94–100

Guy R K. Unsolved problems in number theory, 3rd ed. New York: Springer, 2004

Habsieger L, Roblot X. F. On integers of the form p + 2k. Acta Arith, 2006, 122: 45–50

Halberstam H, Richert H E. Sieve Methods. London: Academic Press, 1974

Li H, Pan H. The Romanoff theorem revisited. Acta Arith, 2008, 135: 137–142

Pintz J. A note on Romanov’s constant. Acta Math Hungar, 2006, 112: 1–14

de Polignac A. Six propositions arithmologiques déduites du crible d’Erathosténe. Nouv Ann Math, 1849, 8: 423–429

Romanoff N P. Über einige Sätze der additiven Zahlentheorie. Math Ann, 1934, 109: 668–678

Sun X G. On two conjectures of Chen Yonggao (in Chinese). Chin Ann Math Ser A, 2009, 30: 177–182. The English translation is published in: Chinese Journal of Contempory Mathematics 2009, 30

Wrench J W. Evaluation of Artins constant and the twin-prime constant. Math Comp, 1961, 15: 396–397