|
Search: id:A052381
|
|
|
| A052381 |
|
The smallest initial prime of 2 non-overlapping d-twin primes if the distance between pairs (D) is minimal (see A052380). |
|
+0
3
|
|
| 3, 7, 47, 389, 409, 199, 24749, 3373, 20183, 46703, 19687, 16763, 142811, 14563, 69593, 763271, 276637, 255767, 363989, 383179, 247099, 2130809, 15370423, 3565931, 458069, 9401647, 6314393, 20823437, 9182389, 4911251, 15442121
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
A prime quadruple (triple), {[p,p+d],[p+D,p+D+d]} is called "non-overlapping" (disjoint or touching) pair of twins if D=distance>=d=difference "inside" twin.
|
|
FORMULA
|
Smallest p so that [p, p+2n], [p+min{D}, p+2n+min{D}] is a quadruple (or triple if d=min{D}) of consecutive primes
|
|
EXAMPLE
|
If n=23, d=46, min{D}=48 then the first suitable quadruple of primes is [15370423, 15370469, 15370471, 15370517] with [46, 2, 46] difference pattern; if n=3, d=6, min{D}=6 then the first such triple is [47, 53, 53, 59]=[47, 53, 59] with [6, 6] difference pattern.
|
|
CROSSREFS
|
The first 10 terms here appear as initial terms in A052350-A052359.
See also A052380, A031924-A031928, A053318-A053331, A052350-A052359, A047948, A001223.
Sequence in context: A064457 A005650 A020754 this_sequence A031440 A001566 A019039
Adjacent sequences: A052378 A052379 A052380 this_sequence A052382 A052383 A052384
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Mar 13 2000
|
|
EXTENSIONS
|
Corrected by Jud McCranie (j.mccranie(AT)comcast.net), Jan 04 2001
|
|
|
Search completed in 0.002 seconds
|
