A079010 a(n) = nextprime(16 + A022008(n)) - (16 + A022008(n)).

6, 14, 14, 8, 8, 14, 18, 14, 18, 8, 24, 8, 8, 8, 18, 44, 24, 38, 18, 30, 14, 14, 8, 14, 18, 8, 8, 8, 30, 8, 38, 18, 14, 14, 66, 36, 26, 30, 30, 8, 18, 14, 8, 50, 18, 18, 14, 8, 66, 26, 14, 44, 38, 54, 18, 18, 38, 30, 8, 30, 14, 24, 26, 8, 26, 14, 8, 8, 60, 26

Offset

1,1

Comments

a(n) is the prime difference d >= 6, following [42424] difference pattern defining A022008.

Links

Table of n, a(n) for n=1..70.

Example

n=2: A022008(2)=97, corresponding sextuplet is {97, 101, 103, 107, 109, 113=97+16}, nextprime(113) - 113 = 127 - 113 = 14, so a(2)=14. Constraints for present terms: (a) are incongruent to 4 modulo 6; (b) Mod(a(n), 30) = {0, 6, 8, 14, 18, 20, 24, 26}; 6 occurs only once; (c) further prohibited values like e.g. 20 etc.

Mathematica

d[x_] := Prime[x+1]-Prime[x]; Do[If[Equal[d[n], 4]&&Equal[d[n+1], 2]&& Equal[d[n+2], 4]&&Equal[d[n+3], 2]&& Equal[d[n+4], 4], Print[d[n+5]]], {n, 1, 100000}]

Crossrefs

Cf. A022008.

Sequence in context: A338419 A184998 A322561 * A324814 A015822 A023883

Adjacent sequences: A079007 A079008 A079009 * A079011 A079012 A079013

Keyword

nonn

Author

Labos Elemer, Jan 21 2003

Status

approved