%I A028372
%S A028372 2,2,73,73,241,241,1009,1009,1009,1009,7561,7561,21961,35281,35281,
%T A028372 35281,44641,44641,374089,622561,622561,622561,4379281,4379281,4379281,
%U A028372 17690689,17690689,17690689,17690689,17690689,316234801
%N A028372 Smallest prime that is simultaneously of forms x^2 + m y^2 for m = 1, 
               ..., n.
%C A028372 Sequence A155715 lists the smallest numbers of this kind with x,y>0, 
               but not necessarily prime. [From M. F. Hasler (MHasler(AT)univ-ag.fr), 
               Jan 27 2009]
%C A028372 a(n) > 10^9 for n >= 32. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), 
               Sep 29 2009]
%o A028372 (PARI) p=2; for(k=1,999, forstep( c=k,1,-1, for( b=1,sqrtint(p\c), issquare(p-c*b^2) 
               & next(2)); p=nextprime(p+1); c=k+1); print1(p",")) [From M. F. Hasler 
               (MHasler(AT)univ-ag.fr), Jan 27 2009]
%Y A028372 Sequence in context: A015167 A086204 A037292 this_sequence A130678 A156523 
               A156511
%Y A028372 Adjacent sequences: A028369 A028370 A028371 this_sequence A028373 A028374 
               A028375
%K A028372 nonn
%O A028372 1,1
%A A028372 John L. Drost (drost(AT)marshall.edu)
%E A028372 a(17)-a(18) corrected and a(26)-a(31) from Donovan Johnson (donovan.johnson(AT)yahoo.com), 
               Sep 29 2009