A352712 a(n) is the smallest prime in a sequence of 2n consecutive primes that form a symmetrical constellation of cousin primes.

7, 7, 7, 853, 1286220583, 178706126107, 888895528231807, 16197229696176289

Offset: 1

Author

Natalia Makarova, Mar 30 2022

Keywords

• nonn
• more

Comments

A cousin prime pair is a pair of primes that differ by 4.

a(8) was found by Petukhov.

Examples

			a(2) = 7 since the 4 consecutive primes (7, 11, 13, 17) are two pairs of cousin primes which are symmetrical because 7 + 17 = 11 + 13.
		

Links

• Dmitry Petukhov, Symmetric tuples of consecutive prime, 2014 (posted on the dxdy forum, in Russian).
• Carlos Rivera, Puzzle 841. Symmetrical compositions of consecutive pairs of cousin primes, The Prime Puzzles and Problems Connection.

Crossrefs

Cf. A274792.