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A120023 Numbers n such that 2*6^n+1 is prime. 2

%I #24 Feb 23 2024 13:41:43

%S 0,1,2,3,4,10,11,17,20,28,41,48,57,58,59,71,208,972,993,1432,2001,

%T 2175,2622,3419,3720,4860,7300,7402,14988,15774,18510,22872,52139,

%U 77028,149025,172170,239699

%N Numbers n such that 2*6^n+1 is prime.

%C If 6^n is of the form T(x,y) = 2xy+x+y [A083487] then 2*6^n+1 is not prime. - _Vincenzo Librandi_, Nov 13 2010

%C a(1)-a(37) proven prime by the primality proving program LLR. - _Robert Price_, Jan 08 2016

%C a(38) > 2.5*10^5. - _Robert Price_, Jan 08 2016

%t Select[Range[0, 2000], PrimeQ[2*6^# + 1] &] (* _Vladimir Joseph Stephan Orlovsky_, Jan 31 2012 *)

%o (PARI) isok(n) = isprime(2*6^n+1); \\ _Michel Marcus_, Jan 08 2016

%Y Cf. A057472, A120024, A205771.

%K nonn

%O 1,3

%A _Pierre CAMI_, Jun 04 2006

%E More terms from _Pierre CAMI_, Jun 16 2006

%E a(32)-a(37) from _Robert Price_, Jan 08 2016

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)