%I #16 Nov 29 2022 11:25:23
%S 42,3729,82250,605241,1249017,1734985,1747606,3550360,9578800,
%T 10562911,12208504,24101070,26510262,38121281,38588851,47884158,
%U 50246371,56392908,59827439,66233760,114058040,120197366,141646351,141808504,153247005,168751151,235079194,244505074
%N Record gaps between prime octuplets of the form p + {0, 2, 6, 12, 14, 20, 24, 26} (initial members are A022012), divided by 30.
%H Norman Luhn, <a href="/A347850/b347850.txt">Table of n, a(n) for n = 1..79</a>
%H Norman Luhn, <a href="http://www.pzktupel.de/smarchive.html">The "Smallest prime k-tuplets" database</a>.
%H Norman Luhn, <a href="https://pzktupel.de/RecordGaps/GAP08.php">Record Gaps Between Prime Octuplets</a>.
%e a(1) = (A022012(2) - A022012(1))/30 = (1277 - 17)/30 = 42; 17 = A347851(1).
%e a(5) = (A022012(13) - A022012(12))/30 = (171958667 - 165531257)/30 = 214247, exceeding all previous differences; 1655531257 = A347851(5).
%Y The primes at the lower end of the record gaps are given in A347851.
%Y Cf. A022012, A346997, A347848, A347852.
%K nonn
%O 1,1
%A _Hugo Pfoertner_ and _Norman Luhn_, Sep 16 2021