%I #17 Sep 08 2022 08:45:28
%S 12,140,212,315,455,512,560,660,687,807,947,1005,1007,1097,1128,1152,
%T 1182,1301,1427,1442,1491,1571,1755,1787,1860,2258,2346,2400,2616,
%U 2712,2757,2810,3015,3120,3233,3318,3431,3528,3756,3797,3827,3966,4038,4071
%N Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + n^13 + n^15 + n^17 + n^19 + n^21 + n^23 + n^25 + n^27 + n^29 + n^31 + n^33 + n^35 + n^37 + n^39 + n^41 + n^43 + n^45 + n^47 + n^49 + n^51 is prime.
%H Vincenzo Librandi, <a href="/A124206/b124206.txt">Table of n, a(n) for n = 1..250</a>
%t Do[If[PrimeQ[1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + n^13 + n^15 + n^17 + n^19 + n^21 + n^23 + n^25 + n^27 + n^29 + n^31 + n^33 + n^35 + n^37 + n^39 + n^41 + n^43 + n^45 + n^47 + n^49 + n^51], Print[n]], {n, 1, 2400}]
%t Select[Range[6000], PrimeQ[Total[#^Range[1, 51, 2]] + 1] &] (* _Vincenzo Librandi_, Jun 28 2014 *)
%o (Magma) [n: n in [0..5000] | IsPrime(s) where s is 1+&+[n^i: i in [1..51 by 2]]]; // _Vincenzo Librandi_, Jun 28 2014
%Y Cf. A049407, similar sequences listed in A244376.
%K nonn,easy
%O 1,1
%A _Artur Jasinski_, Dec 13 2006
|