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

1,1

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.

Example

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).

Crossrefs

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

Cf. A022013, A346998, A347848, A347850.

Sequence in context: A093231 A252530 A105213 * A171348 A232380 A366867

Adjacent sequences: A347849 A347850 A347851 * A347853 A347854 A347855

Keyword

nonn

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Status

approved