%I #7 Nov 21 2013 12:49:04
%S 3,1259,51241,81749,230149,245621,253567,269879,286801,331301,482731,
%T 540041,551917,564013,625943,638669,746777,975427,1093129,1145537,
%U 1181149,1272679,1528187,1569479,1675679,1741517,1970867,2066951
%N Prime numbers that are the sum of consecutive prime numbers with the final digit 3 (primes in A030431).
%F a(n)=A030431(1)+A030431(2)+...+A030431(x); a is a prime number.
%e a(2)=1259 because 1259=A030431(1)+ A030431(2)+A030431(3)+A030431(4)+ A030431(5)+A030431(6)+A030431(7)+ A030431(8)+A030431(9)+A030431(10)+A030431(11)+A030431(12)+A030431(13)= 3+ 13+ 23+ 43+ 53+ 73+ 83+ 103+ 113+ 163+ 173+ 193+ 223 and 1259 is a prime number.
%t Select[Accumulate[Select[10Range[0,1500]+3,PrimeQ]],PrimeQ] (* _Harvey P. Dale_, Apr 06 2011 *)
%Y Cf. A030431; A000040.
%K easy,base,nonn
%O 1,1
%A _Tomas Xordan_, May 11 2007
|