no. G10
Théorie des nombres
A counterexample of two Romanov type conjectures
Ding, Yuchen1 
1 School of Mathematical Science, Yangzhou University, Yangzhou 225002, People’s Republic of China
Comptes Rendus. Mathématique, Tome 360 (2022) no. G10, pp. 1183-1185.

In this note, we disprove two Romanov type conjectures posed by Chen.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.425
Classification : 11A41, 11A67
Ding, Yuchen 1

1 School of Mathematical Science, Yangzhou University, Yangzhou 225002, People’s Republic of China 
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Ding, Yuchen. A counterexample of two Romanov type conjectures. Comptes Rendus. Mathématique, Tome 360 (2022) no. G10, pp. 1183-1185. doi : 10.5802/crmath.425. http://archive.numdam.org/articles/10.5802/crmath.425/

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[4] de Polignac, Alphonse Recherches nouvelles sur les nombres prEmiers, C. R. Acad. Sci. Paris, Volume 29 (1849), pp. 738-739

[5] de Polignac, Alphonse Six propositions arithmologiques déduites du crible d’Eratosthène, Nouv. Ann. Math., Volume 8 (1849), pp. 423-429

[6] Romanov, Nikolaĭ P. Über einige Sätze der additiven Zahlentheorie, Math. Ann., Volume 109 (1934), pp. 668-678 | Zbl

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