|
Search: id:A079010
|
|
|
| A079010 |
|
a(n)=nextprime[16+A022008(n)]-(16+A022008(n)); a(n) is the prime difference d>=6, following [42424] difference pattern defining A022008. |
|
+0
1
|
|
| 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, 18, 78, 14, 8, 38, 30, 50
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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] h={k1=4, k2=2, k3=4, k4=2, k5=4} k=0; 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.
Adjacent sequences: A079007 A079008 A079009 this_sequence A079011 A079012 A079013
Sequence in context: A041070 A065938 A131902 this_sequence A015822 A023883 A107982
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Jan 21 2003
|
|
|
Search completed in 0.002 seconds
|
