cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A352712 #49 Apr 07 2025 02:23:18
%S A352712 7,7,7,853,1286220583,178706126107,888895528231807,16197229696176289
%N A352712 a(n) is the smallest prime in a sequence of 2n consecutive primes that form a symmetrical constellation of cousin primes.
%C A352712 A cousin prime pair is a pair of primes that differ by 4.
%C A352712 a(8) was found by Petukhov.
%H A352712 Dmitry Petukhov, <a href="https://dxdy.ru/post1137802.html#p1137802">Symmetric tuples of consecutive prime</a>, 2014 (posted on the dxdy forum, in Russian).
%H A352712 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_841.htm">Puzzle 841. Symmetrical compositions of consecutive pairs of cousin primes</a>, The Prime Puzzles and Problems Connection.
%e A352712 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.
%Y A352712 Cf. A274792.
%K A352712 nonn,more
%O A352712 1,1
%A A352712 _Natalia Makarova_, Mar 30 2022