The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A137703 Prime numbers p such that p +- ((p-1)/3) are primes. 1
 991, 2143, 3331, 4591, 4663, 5563, 5653, 8623, 9181, 9343, 9631, 12781, 13033, 13411, 14851, 15643, 16183, 16363, 20161, 20521, 20593, 23311, 24373, 25471, 26641, 27073, 28711, 30133, 30763, 32401, 32491, 34381, 35803, 37783, 38431, 38611, 39043, 39241 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 EXAMPLE 991 is in the sequence because 991+(990/3) = 1321 and 991-(990/3) = 661, which are primes; 2143 is in the sequence because 2143+(2142/3) = 2857 and 2143-(2142/3) = 1429, which are primes. MATHEMATICA Select[Prime[Range[50000]], PrimeQ[# + (# - 1) / 3]&&PrimeQ[# - (# - 1) / 3]&] (* Vincenzo Librandi, Jun 15 2013 *) PROG (Magma) [p: p in PrimesInInterval(5, 40000)| IsPrime((4*p-1) div 3 ) and IsPrime((2*p+1) div 3)]; // Vincenzo Librandi, Jun 15 2013 CROSSREFS Sequence in context: A218401 A053393 A031790 * A255098 A155509 A093177 Adjacent sequences: A137700 A137701 A137702 * A137704 A137705 A137706 KEYWORD nonn,easy AUTHOR Vladimir Joseph Stephan Orlovsky, Apr 27 2008 EXTENSIONS More terms from Vincenzo Librandi, Jun 15 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 30 07:51 EDT 2023. Contains 363050 sequences. (Running on oeis4.)