%I A130003
%S A130003 1,1,3,7,7,15,37,163,177,4503,4503,4503,4503,4503,833021343,12465115083,
%T A130003 95854279610863,1158174141556287
%N A130003 a(n) is the smallest natural number m such that 4^k + m is prime for 
               all k=1,2,...,n.
%H A130003 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_402.htm">
               1(1198).4.1(3304).4441 </a>.
%H A130003 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_403.htm">
               Puzzle 403. 833021343</a>.
%e A130003 a(14)=4503 because 4^k + 4503 for 0<k<15 are prime and there is no smaller 
               number with this property.
%Y A130003 Cf. A130004.
%Y A130003 Sequence in context: A060215 A059478 A081218 this_sequence A098581 A085420 
               A160994
%Y A130003 Adjacent sequences: A130000 A130001 A130002 this_sequence A130004 A130005 
               A130006
%K A130003 hard,more,nonn
%O A130003 1,3
%A A130003 Farideh Firoozbakht (mymontain(AT)yahoo.com), May 30 2007, Jun 04 2007
%E A130003 More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 08 
               2007