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

1,1

Links

Table of n, a(n) for n=1..28.

Formula

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

Example

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.

Mathematica

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

Crossrefs

Cf. A030431; A000040.

Sequence in context: A171360 A034315 A172924 * A174826 A122389 A036066

Adjacent sequences: A129075 A129076 A129077 * A129079 A129080 A129081

Keyword

easy,base,nonn

Author

Tomas Xordan, May 11 2007

Status

approved