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 the T. Brada Experimental Grid BOINC project.

Links

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

N. Makarova and C. 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 A011007

Adjacent sequences: A352709 A352710 A352711 * A352713 A352714 A352715

Keyword

nonn,more

Author

Natalia Makarova, Mar 30 2022

Status

approved