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Special Prime Numbers

Chen Primes: A Step Toward Understanding Prime Pairs

Chen primes are special primes connected to prime-pair research. The basic idea shows how this family relates to...

Circular Primes: When Digit Rotations Stay Prime

A circular prime is a prime number that stays prime after every rotation of its digits. The number...

Cousin Primes: Prime Pairs That Differ by 4

Cousin primes are prime pairs separated by 4. Examples, gap comparisons, and the open question of infinitely many...

Emirp Numbers: Primes That Reverse to Another Prime

An emirp is a non-palindromic prime whose reversed digits form a different prime. Examples and reversal checks distinguish...

Fermat Primes: Definition and Examples

Fermat primes have the form 2^(2ⁿ) + 1. Known examples, composite Fermat numbers, and geometric links explain why...

Palindromic Primes: Prime Numbers That Read Both Ways

A palindromic prime is a prime number whose digits read the same from left to right and right...

Pseudoprimes: Composite Numbers That Fool Prime Tests

A pseudoprime is a composite number that passes a prime test it was not supposed to pass. It...

Repunit Primes: Primes Made Only of Ones

Repunit primes contain only the digit 1 in a chosen base. Their form, examples, and rarity show why...

Safe Primes: Meaning and Examples

A safe prime has the form 2p + 1 where p is also prime. Examples, checks, and the...

Sophie Germain Primes: What They Are

A Sophie Germain prime is a prime p for which 2p + 1 is also prime. Examples, testing...

Truncatable Primes: Removing Digits Without Losing Primality

Truncatable primes remain prime as digits are removed from a side. Definitions, examples, and checks explain how this...

11 articles in Special Prime Numbers