A347848 Record gaps between prime octuplets of the form p + {0, 2, 6, 8, 12, 18, 20, 26} (initial members are A022011), divided by 210.

75048, 323655, 422750, 2073918, 4243118, 5993757, 7828766, 11528083, 12215588, 15097361, 15513531, 17010400, 31025397, 44928642, 57138204, 75017391, 81443987, 97313005, 109587483, 110514347, 120045110, 120244355, 140472479, 140771332, 142099045, 265356757, 332391121

Offset

1,1

Links

Norman Luhn, Table of n, a(n) for n = 1..53

Norman Luhn, The "Smallest prime k-tuplets" database.

Norman Luhn, Record Gaps Between Prime Octuplets.

Example

a(1) = (A022011(2) - A022012(1))/210 = (15760091 - 11)/210 = 75048; 11 = A347849(1).
a(5) = (A022011(21) - A022011(20))/210 = (3734403131 - 2843348351)/210 = 424318, exceeding all previous differences; 2843348351 = A347849(5).

Crossrefs

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

Cf. A022011, A346996, A347850, A347852.

Sequence in context: A173207 A182809 A182393 * A204360 A236817 A140940

Adjacent sequences: A347845 A347846 A347847 * A347849 A347850 A347851

Keyword

nonn

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Status

approved