suprimes

Suprimes are a type of number that has generated interest in recreational mathematics. They are defined as prime numbers whose digits, when interpreted as a number, also form a prime number. This definition can be applied in various ways depending on how the digits are grouped or manipulated.

One common interpretation of "suprime" involves concatenating digits. For example, if a prime number is 13, and concatenating its digits in order (13) or reverse (31) results in prime numbers, then 13 might be considered a suprime. However, the exact criteria for digit manipulation can vary among different sources.

Another perspective involves considering the sum or product of digits. If a prime number's digits sum to a prime number, or their product is prime, it might also be labeled a suprime. For instance, the prime number 23 has digits that sum to 5, which is prime.

The term "suprime" is not a universally recognized mathematical term with a single, strict definition. It often appears in discussions related to number theory puzzles and challenges. As a result, different individuals or communities may use the term with slightly different or more specific rules. The exploration of such numbers is primarily a recreational pursuit, showcasing interesting properties of primes and their digit compositions.