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Record gaps between prime octuplets of the form p + {0, 6, 8, 14, 18, 20, 24, 26} (initial members are A022013), divided by 210.
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%I #14 Nov 29 2022 11:34:31

%S 933,2719,25782,298074,684607,3152985,3615775,4062023,9213717,

%T 17131290,18003995,19350016,23725387,30570595,34125949,39157518,

%U 61083539,67660632,83438975,94515652,117202015,119103567,126310893,127678285,144003855,189879059,197614054,240073574

%N Record gaps between prime octuplets of the form p + {0, 6, 8, 14, 18, 20, 24, 26} (initial members are A022013), divided by 210.

%H Norman Luhn, <a href="/A347852/b347852.txt">Table of n, a(n) for n = 1..62</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) = (A022013(2) - A022013(1))/210 = (284723 - 88793)/210 = 933; 88793 = A347853(1).

%e a(6) = (A022013(11) - A022013(10))/210 = (964669613 - 302542763)/210 = 3152985, exceeding all previous differences; 302542763 = A347853(6).

%Y The primes at the lower end of the record gaps are given in A347853.

%Y Cf. A022013, A346998, A347848, A347850.

%K nonn

%O 1,1

%A _Hugo Pfoertner_ and _Norman Luhn_, Sep 16 2021