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

1,1

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

Links

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

Formula

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

Example

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.

Mathematica

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

Crossrefs

Cf. A030430; A000040.

Sequence in context: A016282 A068848 A167577 * A152582 A191003 A012478

Adjacent sequences: A129074 A129075 A129076 * A129078 A129079 A129080

Keyword

easy,base,nonn

Author

Tomas Xordan, May 11 2007

Status

approved