Sexy primes are pairs of primes of the form (p, p + 6), 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), ... (OEIS A023201 and A046117). As of November 2005, the largest known sexy prime pair starts with p = {48011837012[(53238·7879#)^2 - 1] + 2310}·(53238·7879#)/385 + 1, where 7879# is a primorial. These primes have 10154 digits and were found by M. Fleuren, T. Alm, and J. K. Andersen.

cousin primes | prime constellation | prime quadruplet | twin primes