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Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7, p4=8n+9, p5=10n+11, p6=12n+13 and p7=14n+15 are all prime.
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%I #5 Jan 02 2013 20:40:10

%S 256409,4112429,11120339,12231449,13243229,31435739,46892264,49798979,

%T 69909839,98237474,125994749,145989164,171741989,201038564,205739414,

%U 229298684,232560509,253539929,259765694,261519719,292721519,296504669

%N Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7, p4=8n+9, p5=10n+11, p6=12n+13 and p7=14n+15 are all prime.

%t apQ[n_]:=And@@PrimeQ[Table[n*i+i+1,{i,2,14,2}]]; Select[Range[ 300000000],apQ] (* _Harvey P. Dale_, Jan 02 2013 *)

%Y Cf. A005382, A005383, A105610, A105652 - A105657.

%K nonn

%O 1,1

%A _Zak Seidov_, Apr 16 2005