Sexy primes are pairs of primes of the form , , so-named since "sex" is the Latin word for "six. The first few sexy prime pairs are 5, 11 , 7, 13 , 11, 17 , 13, 19 , 17, 23 , 23, 29 , 31, 37 , 37, 43 , 41, 47 , 47, 53 , As of November , the largest known sexy prime pair starts with. These primes have digits and were found by M. Fleuren, T. Alm, and J.
Sexy primes are prime numbers that differ from each other by 6. The term "sexy prime" is a pun stemming from the Latin word for six: sex. In August , Polymath group seeking the proof of the Twin Prime conjecture showed that if the generalized Elliott—Halberstam conjecture is proven, one can show the existence of infinitely many pairs of consecutive primes that differ by at most 6 and as such they are either twin , cousin or sexy primes. The primes are:.