cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A129077 #7 Nov 15 2024 18:51:53
%S A129077 11,83,1181,7937,9239,10631,12143,28429,66973,75307,79609,206593,
%T A129077 311419,348487,397897,408169,518779,628877,654821,708119,735533,
%U A129077 763457,867281,1030201,1519333,1581449,1623863,1688509,1732763,2012657,2037029
%N A129077 Prime numbers that are the sum of consecutive prime numbers with the final digit 1 (primes in A030430).
%C A129077 Primes in the partial sums of all primes, starting with 11, that have 1 as their final  digit. - _Harvey P. Dale_, Nov 15 2024
%H A129077 Harvey P. Dale, <a href="/A129077/b129077.txt">Table of n, a(n) for n = 1..1000</a>
%F A129077 a(n)=A030430(1)+A030430(2)+...+A030430(x); a is a prime number.
%e A129077 a(2)=83 because 83=A030430(1)+ A030430(2)+A030430(3)=11+31+41 and 83 is a prime number.
%e A129077 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.
%t A129077 Select[Accumulate[Select[Prime[Range[2000]],Mod[#,10]==1&]],PrimeQ] (* _Harvey P. Dale_, Nov 15 2024 *)
%Y A129077 Cf. A030430; A000040.
%K A129077 easy,base,nonn
%O A129077 1,1
%A A129077 _Tomas Xordan_, May 11 2007