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Numbers n such that n^2 +1, n^2 +3, n^2 +7, n^2 +9 and n^2 +13 are simultaneously prime.
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%I #3 Mar 30 2012 17:30:26

%S 2,10,238850,315410,927070,2525870,2828270,3993070,4794520,5617160,

%T 6173870,6859310,8146100,8294290,9267220,10053410,10515340,12720460,

%U 15074770,16755190,16788580,17525470,21740120,26657060,29633510

%N Numbers n such that n^2 +1, n^2 +3, n^2 +7, n^2 +9 and n^2 +13 are simultaneously prime.

%t Select[ Range[ 1, 5 10^7], PrimeQ[ #^2 + 1] && PrimeQ[ #^2 + 3] && PrimeQ[ #^2 + 7] && PrimeQ[ #^2 + 9] && PrimeQ[ #^2 + 13] & ]

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Sep 11 2000