|
Search: id:A163422
|
|
|
| A163422 |
|
Primes p such that A071568((p-1)/2) are also prime numbers. |
|
+0
9
|
|
| 3, 5, 7, 11, 13, 17, 19, 31, 37, 43, 59, 61, 79, 83, 89, 97, 107, 109, 113, 139, 149, 167, 191, 233, 241, 263, 271, 293, 307, 311, 337, 359, 373, 383, 439, 443, 479, 487, 491, 523, 557, 617, 641, 647, 659, 673, 683, 701, 733, 757, 811, 829, 853, 857, 859, 877
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Primes p such that (p-1)^3/8+(p+1)/2 are also prime numbers, i.e., in A095692.
|
|
EXAMPLE
|
p=3 is in the sequence because (3-1)^3/8+(3+1)/2=3 is prime.
p=5 is in the sequence because (5-1)^3/8+(5+1)/2=11 is prime.
|
|
MATHEMATICA
|
f[n_]:=((p-1)/2)^3+((p+1)/2); lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 6!}]; lst
|
|
CROSSREFS
|
Cf. A162652, A163418, A163419, A163420, A163421.
Sequence in context: A038604 A155026 A081092 this_sequence A155055 A030096 A045394
Adjacent sequences: A163419 A163420 A163421 this_sequence A163423 A163424 A163425
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
|
|
EXTENSIONS
|
Definition rewritten by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 17 2009
|
|
|
Search completed in 0.002 seconds
|
