37 is the fifth Padovan prime after the first four prime numbers 2, 3, 5, and 7. |
37 is the fifth lucky number after 3,7,13 and 31. |
37 is a sexy prime, being 6 more than 31 and 6 less than 43. |
37 remains prime when it's digits are reversed, so it is a permutable prime. |
What is a Padovian prime?
It is the integer sequence defined by the recurrence relation P(n)=P(n-2)+P(n-3) The first few prime Padovan numbers are 2, 2, 3, 5, 7, 37, 151, 3329, 23833 |
What is a lucky prime?
In number theory, a lucky prime is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the Sieve of Eratosthenes that generates the primes, but it eliminates numbers based on their position in the remaining set, instead of their value (or position in the initial set of natural numbers). |
What is a sexy prime?
In number theory, sexy primes are prime numbers that differ from each other by 6. For example, the numbers 5 and 11 are both sexy primes, because both are prime and 11 - 5 = 6. The term "sexy prime" is a pun stemming from the Latin word for six: sex. |
What is a permutable prime?
A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. Most likely, in base ten the only permutable primes are 2, 3, 5, 7, 13, 17, 37, 79, 113, 199, 337 |