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Record gaps between prime octuplets of the form p + {0, 2, 6, 8, 12, 18, 20, 26} (initial members are A022011), divided by 210.
5

%I #15 Nov 29 2022 11:25:34

%S 75048,323655,422750,2073918,4243118,5993757,7828766,11528083,

%T 12215588,15097361,15513531,17010400,31025397,44928642,57138204,

%U 75017391,81443987,97313005,109587483,110514347,120045110,120244355,140472479,140771332,142099045,265356757,332391121

%N Record gaps between prime octuplets of the form p + {0, 2, 6, 8, 12, 18, 20, 26} (initial members are A022011), divided by 210.

%H Norman Luhn, <a href="/A347848/b347848.txt">Table of n, a(n) for n = 1..53</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) = (A022011(2) - A022012(1))/210 = (15760091 - 11)/210 = 75048; 11 = A347849(1).

%e a(5) = (A022011(21) - A022011(20))/210 = (3734403131 - 2843348351)/210 = 424318, exceeding all previous differences; 2843348351 = A347849(5).

%Y The primes at the lower end of the record gaps are given in A347849.

%Y Cf. A022011, A346996, A347850, A347852.

%K nonn

%O 1,1

%A _Hugo Pfoertner_ and _Norman Luhn_, Sep 16 2021