A129077 Prime numbers that are the sum of consecutive prime numbers with the final digit 1 (primes in A030430).

11, 83, 1181, 7937, 9239, 10631, 12143, 28429, 66973, 75307, 79609, 206593, 311419, 348487, 397897, 408169, 518779, 628877, 654821, 708119, 735533, 763457, 867281, 1030201, 1519333, 1581449, 1623863, 1688509, 1732763, 2012657, 2037029

Offset: 1

Author

Tomas Xordan, May 11 2007

Keywords

• easy
• base
• nonn

Comments

Primes in the partial sums of all primes, starting with 11, that have 1 as their final digit. - Harvey P. Dale, Nov 15 2024

Examples

			a(2)=83 because 83=A030430(1)+ A030430(2)+A030430(3)=11+31+41 and 83 is a prime number.
a(3)=1181 because 1181=A030430(1)+ A030430(2)+A030430(3)+A030430(4)+ A030430(5)+A030430(6)+A030430(7)+ A030430(8)+A030430(9)+A030430(10)+A030430(11)= 11+ 31+ 41+ 61+ 71+ 101+ 131+ 151+ 181+ 191+ 211; and 1181 is a prime number.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A030430; A000040.

Programs

Mathematica

Select[Accumulate[Select[Prime[Range[2000]],Mod[#,10]==1&]],PrimeQ] (* Harvey P. Dale, Nov 15 2024 *)

Formula

a(n)=A030430(1)+A030430(2)+...+A030430(x); a is a prime number.