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A129078 Prime numbers that are the sum of consecutive prime numbers with the final digit 3 (primes in A030431). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 06:50 EST 2021. Contains 349567 sequences. (Running on oeis4.)