A347850 Record gaps between prime octuplets of the form p + {0, 2, 6, 12, 14, 20, 24, 26} (initial members are A022012), divided by 30.

42, 3729, 82250, 605241, 1249017, 1734985, 1747606, 3550360, 9578800, 10562911, 12208504, 24101070, 26510262, 38121281, 38588851, 47884158, 50246371, 56392908, 59827439, 66233760, 114058040, 120197366, 141646351, 141808504, 153247005, 168751151, 235079194, 244505074

Offset

1,1

Links

Norman Luhn, Table of n, a(n) for n = 1..79

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

Norman Luhn, Record Gaps Between Prime Octuplets.

Example

a(1) = (A022012(2) - A022012(1))/30 = (1277 - 17)/30 = 42; 17 = A347851(1).
a(5) = (A022012(13) - A022012(12))/30 = (171958667 - 165531257)/30 = 214247, exceeding all previous differences; 1655531257 = A347851(5).

Crossrefs

The primes at the lower end of the record gaps are given in A347851.

Cf. A022012, A346997, A347848, A347852.

Sequence in context: A347169 A181193 A227583 * A053875 A255959 A348812

Adjacent sequences: A347847 A347848 A347849 * A347851 A347852 A347853

Keyword

nonn

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Status

approved