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

1,1

Comments

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

a(8) was found by Petukhov.

Links

Table of n, a(n) for n=1..8.

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.

Example

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.

Crossrefs

Cf. A274792.

Sequence in context: A024955 A328824 A360080 * A088467 A153496 A390462

Adjacent sequences: A352709 A352710 A352711 * A352713 A352714 A352715

Keyword

nonn,more

Author

Natalia Makarova, Mar 30 2022

Status

approved