# Romanov's theorem

> English word · Proper noun

## Definitions
1. 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.

## Etymology
Proved by Nikolai Pavlovich Romanov.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/romanov-s-theorem