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%I #13 Sep 08 2022 08:45:17
%S 12704,13019,105524,256409,966839,1707509,1944494,2309999,2478629,
%T 3132674,3836069,3976769,4112429,4532324,5499584,5920004,6610484,
%U 7390844,8552249,10739504,11120339,12231449,12338129,13243229,16467254
%N Numbers k such that p1=2k+3, p2=4k+5, p3=6k+7, p4=8k+9, p5=10k+11 and p6=12k+13 are all prime.
%t With[{r1=Range[2,12,2],r2=Range[3,13,2]},Select[Range[16500000],And@@PrimeQ[# r1+r2]&]] (* _Harvey P. Dale_, Jan 31 2011 *)
%o (Magma)[n: n in [0..10000000]|IsPrime(2*n+3) and IsPrime(4*n+5) and IsPrime(6*n+7) and IsPrime(8*n+9) and IsPrime(10*n+11)and IsPrime(12*n+13)] // _Vincenzo Librandi_, Dec 16 2010
%Y Cf. A005382, A005383, A105610, A105652, A105653, A105654, A105656, A105657.
%K nonn
%O 1,1
%A _Zak Seidov_, Apr 16 2005
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