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A110801 Numbers n such that 12n + 1 is prime. 11

%I

%S 1,3,5,6,8,9,13,15,16,19,20,23,26,28,29,31,33,34,35,36,38,45,48,50,51,

%T 55,56,59,61,63,64,69,71,73,78,83,84,85,86,89,91,93,94,96,100,101,103,

%U 104,108,110,115,119,121,124,129,133,134,135,138,139,141,145,146,148

%N Numbers n such that 12n + 1 is prime.

%C Corresponds to even numbers in A024898. - _Michael B. Porter_, Oct 27 2009

%C Solutions of the equation (12*n+1)'=1, where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Jan 03 2013

%H Vincenzo Librandi, <a href="/A110801/b110801.txt">Table of n, a(n) for n = 1..1000</a>

%e If n=96 then 12*n + 1 = 1153 (prime).

%t a={};Do[x=12*n+1;If[PrimeQ[x],AppendTo[a,n]],{n,10^2}];a (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2008 *)

%t Select[Range[150],PrimeQ[12#+1]&] (* _Harvey P. Dale_, Jul 17 2018 *)

%o (MAGMA) [ n: n in [1..150] | IsPrime(12*n+1) ]; // _Klaus Brockhaus_, Jan 02 2009

%o (PARI) isA110801(n) = isprime(12*n+1) \\ _Michael B. Porter_, Oct 27 2009

%Y Cf. A167055, A167056, A167057, A024898; primes are in A068228. - _Michael B. Porter_, Oct 27 2009

%K nonn

%O 1,2

%A _Parthasarathy Nambi_, Oct 20 2005

%E More terms from _Klaus Brockhaus_, Jan 02 2009

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Last modified July 23 19:17 EDT 2021. Contains 346259 sequences. (Running on oeis4.)