# Irregular prime

From Number

This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.

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## Definition

An **irregular prime** is a prime number greater than 2 that is *not* a regular prime. Note that 2 is neither regular nor irregular.

## Occurrence

### Initial examples

37, 59, 67, 101, 103, 131, 149, 157, 233, 257, 263, [SHOW MORE]View list on OEIS## Facts

- Infinitude conjecture for regular primes: It is conjectured that there are infinitely many regular primes and that the density is about 0.6.