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

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Keywords

• nonn

Examples

			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).
		

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.

Crossrefs

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

Cf. A022012, A346997, A347848, A347852.