|
Search: id:A136720
|
|
|
| A136720 |
|
Prime quadruples: 2nd term. |
|
+0
2
|
|
| 7, 13, 103, 193, 823, 1483, 1873, 2083, 3253, 3463, 5653, 9433, 13003, 15643, 15733, 16063, 18043, 18913, 19423, 21013, 22273, 25303, 31723, 34843, 43783, 51343, 55333, 62983, 67213, 69493, 72223, 77263, 79693, 81043, 82723, 88813, 97843
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The members of each quadruple are twin primes when they are 1st and 2nd terms and when 3rd and 4th terms. When they are 2nd and 3rd terms they differ by 4.
|
|
FORMULA
|
Beginning with the first quadruple, 5,7,11,13, generate sets of prime quadruples ending in 1,3,7,9
|
|
EXAMPLE
|
The four terms in the first quadruple are 5,7,11,13, and in the 2nd 11,13,17,19. The four terms or members of each set must be simultaneously prime.
|
|
MATHEMATICA
|
lst={}; Do[p0=Prime[n]; If[PrimeQ[p2=p0+2], If[PrimeQ[p6=p0+6], If[PrimeQ[p8=p0+8], AppendTo[lst, p2]]]], {n, 12^4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 22 2008]
|
|
CROSSREFS
|
Cf. A007530 A090258 A136721.
Sequence in context: A110293 A039687 A001544 this_sequence A035030 A046519 A128351
Adjacent sequences: A136717 A136718 A136719 this_sequence A136721 A136722 A136723
|
|
KEYWORD
|
easy,nonn,uned
|
|
AUTHOR
|
Enoch Haga (Enokh(AT)comcast.net), Jan 18 2008
|
|
|
Search completed in 0.002 seconds
|
