A105655 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.
12704, 13019, 105524, 256409, 966839, 1707509, 1944494, 2309999, 2478629, 3132674, 3836069, 3976769, 4112429, 4532324, 5499584, 5920004, 6610484, 7390844, 8552249, 10739504, 11120339, 12231449, 12338129, 13243229, 16467254
Offset: 1
Keywords
Programs
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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
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Mathematica
With[{r1=Range[2,12,2],r2=Range[3,13,2]},Select[Range[16500000],And@@PrimeQ[# r1+r2]&]] (* Harvey P. Dale, Jan 31 2011 *)