Search: id:A052022
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%I A052022
%S A052022 12,50,70,308,364,476,1729,4784,9947,8959,38998,588965,179998,1879859,
%T A052022 5988788,38778989,79693999,287978998
%N A052022 Smallest number m such that n-th prime p = sum of digits of m and p = 
               largest prime factor of m (or 0 if no such number exists).
%e A052022 p=43 -> a(13)=179998 -> 1+7+9+9+9+8 = '43' and 179998 = 2.7.13.23.'43'. 
               p=47 -> a(14)=1879859 -> 1+8+7+9+8+5+9 = '47' and 1879859 = 23.37.47.'47'.
%Y A052022 Cf. A052018, A052019, A052020, A052021, A007953, A005349, A028834.
%Y A052022 Sequence in context: A029586 A081292 A052021 this_sequence A110907 A009937 
               A009932
%Y A052022 Adjacent sequences: A052019 A052020 A052021 this_sequence A052023 A052024 
               A052025
%K A052022 nonn,base,nice
%O A052022 1,1
%A A052022 Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 15 1999.
%E A052022 Does there exist a solution for every prime p?

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