A129078 Prime numbers that are the sum of consecutive prime numbers with the final digit 3 (primes in A030431).

3, 1259, 51241, 81749, 230149, 245621, 253567, 269879, 286801, 331301, 482731, 540041, 551917, 564013, 625943, 638669, 746777, 975427, 1093129, 1145537, 1181149, 1272679, 1528187, 1569479, 1675679, 1741517, 1970867, 2066951

Offset: 1

Author

Tomas Xordan, May 11 2007

Keywords

• easy
• base
• nonn

Examples

			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.
		

Crossrefs

Cf. A030431; A000040.

Programs

Mathematica

Select[Accumulate[Select[10Range[0,1500]+3,PrimeQ]],PrimeQ]  (* Harvey P. Dale, Apr 06 2011 *)

Formula

a(n)=A030431(1)+A030431(2)+...+A030431(x); a is a prime number.