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Cousin Primes
Basic Info
Discovered by
Number of
Description p and p+4 are both primes.
First Few (3, 7), (7, 11),
(13, 17), (19, 23)

Cousin primes are numbers wherein two numbers have a gap of four.

Examples[]

7 and 11 are cousin primes.

19 and 23 are cousin primes.

Largest Known Cousin Primes[]

The largest-known cousin prime pair was found by Serge Batalov in April 2022 with 51,934 digits and the primes are:
p = 29055814795 x (2172486 - 286243) + 286245 - 3
p + 4 = 29055814795 x (2172486 - 286243) + 286245 + 1[1]

Integers of Usage[]

There is a constant called “Brun’s constant for cousin primes”, which Marek Wolf used all the cousin primes as denominators with numerators of one that goes up to 242 (4,398,046,511,104) estimated in 1996.

See Also[]

References[]

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