A142712 Primes of the form (p(n)-2*n)/3, where p(n)=n-th prime.

3, 3, 5, 5, 7, 17, 17, 29, 31, 43, 43, 53, 61, 61, 67, 83, 101, 103, 127, 127, 137, 163, 173, 179, 179, 193, 199, 257, 257, 269, 277, 283, 293, 311, 313, 347, 349, 367, 367, 373, 379, 389, 389, 401, 409, 431, 433, 433, 467, 503, 541, 541, 577, 599, 601, 601, 617

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Example

If n=10, then (p(10)-2*10)/3=(29-20)/3=3=a(1).
If n=11, then (p(11)-2*11)/3=(31-22)/3=3=a(2).
If n=13, then (p(13)-2*13)/3=(41-26)/3=5=a(3).
If n=14, then (p(14)-2*14)/3=(43-28)/3=5=a(4).
If n=16, then (p(16)-2*16)/3=(53-32)/3=7=a(5).
If n=28, then (p(28)-2*28)/3=(107-56)/3=17=a(6), etc.

Mathematica

Select[Table[(Prime[n]-2n)/3, {n, 400}], PrimeQ] (* Harvey P. Dale, May 05 2012 *)

Crossrefs

Cf. A000040.

Sequence in context: A098508 A355572 A051593 * A247577 A282207 A046200

Adjacent sequences: A142709 A142710 A142711 * A142713 A142714 A142715

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 07 2008

Extensions

Corrected (5 duplicated, 29 inserted, double-43 inserted etc.) by R. J. Mathar, Apr 18 2010

Status

approved