|
Search: id:A153374
|
|
|
| A153374 |
|
Smaller of two consecutive prime numbers such that p0+p1=average of twin prime pairs and p0*p1+7=average of twin prime pairs. |
|
+0
17
|
|
| 5, 13, 1039, 2753, 3343, 22381, 45979, 88223, 92317, 135221, 154153, 233323, 287149, 344221, 365293, 392723, 479629, 549739, 574363, 650581, 659423, 666079, 749803, 786949, 869059, 959723, 1023521, 1045027, 1161841, 1180423, 1193021
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
5+7=12+-1=primes, 5*7+7=42+-1=primes; 13+17=30+-1=primes, 13*17+7=228+-1=primes;...
|
|
MATHEMATICA
|
lst={}; Do[p0=Prime[n]; p1=Prime[n+1]; a=p0+p1; b=p0*p1+7; If[PrimeQ[a-1]&&PrimeQ[a+1]&&PrimeQ[b-1]&&PrimeQ[b+1], AppendTo[lst, p0]], {n, 9!}]; lst
|
|
CROSSREFS
|
Cf. A099349
Sequence in context: A157250 A155185 A009157 this_sequence A012032 A121228 A012173
Adjacent sequences: A153371 A153372 A153373 this_sequence A153375 A153376 A153377
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 24 2008
|
|
|
Search completed in 0.002 seconds
|
