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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A256811 Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime. 1
 37, 521, 881, 1619, 2053, 2213, 2341, 3527, 3637, 3727, 4157, 5147, 7019, 10009, 10891, 12277, 14741, 15913, 16273, 17747, 18757, 24499, 25307, 25577, 26209, 27073, 31481, 31517, 32833, 35083, 36739, 36791, 39079, 40231, 40949, 41039, 42013, 42461, 42767, 47917 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS K. D. Bajpai, Table of n, a(n) for n = 1..10000 EXAMPLE a(1) = 37; (37^2 + 2)/3 = 457; (37^4 + 2)/3 = 624721; all three are prime. MATHEMATICA Select[Prime[Range[10^4]], PrimeQ[(#^2 + 2)/3] && PrimeQ[(#^4 + 2)/3] &] PROG (PARI) forprime(p=1, 10^5, if(!((p^2+2)%3)&&!((p^4+2)%3)&&isprime((p^2+2)/3)&&isprime((p^4+2)/3), print1(p, ", "))) \\ Derek Orr, Apr 16 2015 (Magma) [p: p in PrimesUpTo(5*10^4) | IsPrime((p^2+2) div 3) and IsPrime((p^4+2) div 3 )]; // Vincenzo Librandi, Apr 20 2015 CROSSREFS Cf. A241120, A253941, A253976, A253940. Sequence in context: A197240 A220331 A142764 * A123035 A232033 A006303 Adjacent sequences: A256808 A256809 A256810 * A256812 A256813 A256814 KEYWORD nonn,easy AUTHOR K. D. Bajpai, Apr 15 2015 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 September 21 02:47 EDT 2023. Contains 365486 sequences. (Running on oeis4.)