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Sexy Primes
Basic Info
Discovered by
Number of
Description p and p+6 are both primes.
First Few (5, 11), (7, 13),
(11, 17), (13, 19),
(17, 23), (23, 29)

Sexy primes are numbers wherein two numbers have a gap of six. They are called that because sex is Latin for six.

In addition to sexy primes, if there is a prime number in between them (usually a twin prime or a cousin prime, where it is the lower prime), the sexy prime is part of the prime triplet.

Examples[]

5 and 11 are sexy primes.

23 and 29 are sexy primes.

Largest Known Sexy Primes[]

The largest known sexy prime pair was found by Serge Batalov in April 2022 with 51,934 digits and the primes are:
p = 11922002779 x (2172486 - 286243) + 286245 - 5
p + 6 = 11922002779 x (2172486 - 286243) + 286245 + 1[1]

See Also[]

References[]

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