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A153975
Values of n such that n^2-3 and n^2+3 are both prime.
4
4, 8, 10, 14, 64, 92, 112, 140, 146, 172, 218, 298, 304, 322, 326, 340, 350, 356, 416, 440, 470, 508, 554, 560, 580, 626, 634, 652, 668, 686, 694, 704, 728, 736, 746, 770, 806, 818, 868, 892, 920, 1054, 1082, 1102, 1130, 1156, 1196, 1256, 1264, 1378, 1418
OFFSET
1,1
COMMENTS
Intersection of A028873 and A049422. - Zak Seidov, Oct 12 2014
LINKS
EXAMPLE
4^2 - 3 = 13 and 4^2 + 3 = 19 are both primes, so 4 is in the sequence.
MATHEMATICA
Select[Range[1500], PrimeQ[#^2 - 3] && PrimeQ[#^2 + 3] &] (* Vincenzo Librandi, Oct 12 2014 *)
PROG
(Magma) [n: n in [1..1400] | IsPrime(n^2-3) and IsPrime(n^2+3)]; // Vincenzo Librandi, Oct 12 2014
(PARI) is(n) = isprime(n^2-3) && isprime(n^2+3); \\ Altug Alkan, Sep 01 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Incorrect term 0 removed and Mma edited by Zak Seidov, Oct 12 2014
STATUS
approved