A347852 Record gaps between prime octuplets of the form p + {0, 6, 8, 14, 18, 20, 24, 26} (initial members are A022013), divided by 210.

933, 2719, 25782, 298074, 684607, 3152985, 3615775, 4062023, 9213717, 17131290, 18003995, 19350016, 23725387, 30570595, 34125949, 39157518, 61083539, 67660632, 83438975, 94515652, 117202015, 119103567, 126310893, 127678285, 144003855, 189879059, 197614054, 240073574

Offset: 1

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Keywords

• nonn

Examples

			a(1) = (A022013(2) - A022013(1))/210 = (284723 - 88793)/210 = 933; 88793 = A347853(1).
a(6) = (A022013(11) - A022013(10))/210 = (964669613 - 302542763)/210 = 3152985, exceeding all previous differences; 302542763 = A347853(6).
		

Links

• Norman Luhn, Table of n, a(n) for n = 1..62
• Norman Luhn, The "Smallest prime k-tuplets" database.
• Norman Luhn, Record Gaps Between Prime Octuplets.

Crossrefs

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

Cf. A022013, A346998, A347848, A347850.