Romanov's theorem

proper noun

A theorem stating that, given a fixed base b, the set of numbers that are the sum of a prime and a positive integer power of b has a positive lower asymptotic density.

Meanings

proper noun
  1. mathematicsA theorem stating that, given a fixed base b, the set of numbers that are the sum of a prime and a positive integer power of b has a positive lower asymptotic density.

Origin

Proved by Nikolai Pavlovich Romanov.

Full word history & related roots →
Cite this entry
APA

Romanov's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Romanov's%20theorem

MLA

“Romanov's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Romanov's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Romanov's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Romanov's%20theorem.

Source: Romanov's theorem on Wiktionary, CC BY-SA 4.0.