# "Sexy primes" are prime numbers that differ by six

Man, is it me, or is it getting hot in here? There's a Wikipedia page about "sexy primes," a particularly silly topic within recreational number theory. Sexy primes are are pairs of prime numbers that differ by 6, such as (5,11), (7,13), (11,17), (13,19), and (17,23).

"The term 'sexy prime' is a pun stemming from the Latin word for six: sex."

"As of October 2019, the largest-known pair of sexy primes was found by P. Kaiser and has 50,539 digits. The primes are:p = (520461 × 255931+1) × (98569639289 × (520461 × 255931-1)2-3)-1p+6 = (520461 × 255931+1) × (98569639289 × (520461 × 255931-1)2-3)+5"

Wikipedia, Sexy prime

There are also sexy prime triplets (such as 7, 13, 19), sexy prime quadruplets (like 5, 11, 17, 23), and only one sexy prime quintuplet: 5, 11, 17, 23, 29.

Whether sexy primes are a legitimate topic of study or a goofy math joke, they point to mathematicians' long-time fascination with prime numbers. Great mathematician Leonhard Euler once wrote, "Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate."