A266512 Smallest prime starting a (nonsingular) symmetric n-tuplet of the shortest span (=A266511(n)).

2, 3, 47, 5, 18713, 7, 12003179, 17, 1480028129, 13, 1542186111157, 41280160361347, 660287401247633, 10421030292115097, 3112462738414697093, 996689250471604163, 258406392900394343851

Offset

1,1

Comments

A similar sequence that allows singular symmetric n-tuples is given in A266583.

a(18) <= 824871967574850703732309 (Jaroslaw Wroblewski)

a(20) <= 824871967574850703732303 (Natalia Makarova and Jaroslaw Wroblewski)

Links

Table of n, a(n) for n=1..17.

N. Makarova and Carlos Rivera, Problem 62. Symmetric k-tuples of consecutive primes, The Prime Puzzles & Problems Connection.

Natalia Makarova and Vladimir Chirkov, Theoretical patterns with a minimal diameter for a(2) - a(50)

Formula

a(n) = A000040(A266584(n)).

Crossrefs

Cf. A055380, A065688, A175309, A266511, A266583, A266584.

Sequence in context: A191996 A171079 A097929 * A041501 A163488 A215536

Adjacent sequences: A266509 A266510 A266511 * A266513 A266514 A266515

Keyword

nonn,more,hard

Author

Max Alekseyev, Dec 30 2015

Extensions

a(1)-a(10) from Natalia Makarova

a(11)-a(14), a(16) from Dmitry Petukhov

a(15), a(17) from Jaroslaw Wroblewski

Status

approved