cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Norman Luhn

Norman Luhn's wiki page.

Norman Luhn has authored 5 sequences.

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.

Original entry on oeis.org

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

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).
		

Crossrefs

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

A347851 Primes at lower end of record gaps between prime octuplets given by A347850.

Original entry on oeis.org

17, 1277, 113147, 2580647, 20737877, 171958667, 311725847, 408936947, 701679047, 1804302107, 4955335367, 7449267797, 14005112897, 22741837817, 52998494597, 61033681757, 74325366107, 78271296197, 90479441177, 218018750687, 236874793697, 560125662977, 657582657857
Offset: 1

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Keywords

Examples

			See A347850.
		

Crossrefs

Formula

a(n) == 17 (mod 30).

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.

Original entry on oeis.org

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

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).
		

Crossrefs

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

A347849 Primes at lower end of record gaps between prime octuplets given by A347848.

Original entry on oeis.org

11, 25658441, 93625991, 226449521, 2843348351, 4090833821, 13421076281, 18856092371, 26092031081, 54270148391, 66449431661, 111422173391, 124168028051, 280837571081, 875319936761, 1247050623431, 3589081520021, 6363702282011, 7479508339601, 10804857261041, 15199582184861
Offset: 1

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Keywords

Examples

			See A347848.
		

Crossrefs

Formula

a(n) == 11 (mod 210).

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.

Original entry on oeis.org

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

Author

Hugo Pfoertner and Norman Luhn, Sep 16 2021

Keywords

Examples

			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.