%I A051318
%S A051318 43,2,3,7,13,53,5,6221671,38709183810571,139,2801,11,17,5471,52662739,
%T A051318 23003,30693651606209,37,1741,1313797957,887,71,7127,109,23,97,159227,
%U A051318 643679794963466223081509857,103,1079990819
%N A051318 Euclid-Mullin sequence (A000945) with initial value a(1)=43 instead of 
               a(1)=2.
%e A051318 Product of first 28 terms +1 is 21010249180666094569052503746125873711733988256859070017267798713596976643298\
               037544232424110733238484973548134278212304532631, which is divisible 
               by 103. Hence a(29)=103.
%t A051318 a[ n_+1 ] := First[ Flatten[ FactorInteger[ 1+Product[ a[ j ], {j, 1, 
               n} ] ] ] ]
%Y A051318 Agrees with A000945 from 5th term. Cf. A000946, A005265, A005266.
%Y A051318 Sequence in context: A070177 A114786 A139424 this_sequence A036202 A107814 
               A093762
%Y A051318 Adjacent sequences: A051315 A051316 A051317 this_sequence A051319 A051320 
               A051321
%K A051318 easy,nonn
%O A051318 1,1
%A A051318 Labos E. (labos(AT)ana.sote.hu)