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.
%I A339866 #16 Aug 14 2023 15:25:17 %S A339866 8472193,14084311,16569827,28358851,33546551,45993127,91174081, %T A339866 123593753,186861293,205286087,224010023,227568853,310359607, %U A339866 335497667,423104119,454320901,482749429,492404317,558048187,560997023,566428813,700508971,707060359,715731761,735276379 %N A339866 Primes that are simultaneously the sums of 11, 13, and 15 consecutive primes. %C A339866 Intersection of A127340, A127341, A161612. %C A339866 The first case with 17 consecutive primes is a(219) = 8410721789. Are there more such terms? %C A339866 a(10) = 205286087 is the sum of k consecutive primes not only for k = 11, 13, and 15, but also for k=1 (i.e., a(10) is a prime), k=9, and k=233. - _Jon E. Schoenfield_, Apr 24 2021 %e A339866 Sum_{k=61746..61756} prime(k) = Sum_{k=52937..52949} prime(k) = Sum_{k=46425..46439} prime(k) = 8472193, so 8472193 is a term. - _Jon E. Schoenfield_, Apr 24 2021 %t A339866 Module[{nn=4*10^6,prs,p11,p13,p15},prs=Prime[Range[nn]];p11=Total/@Partition[prs,11,1];p13=Total/@Partition[prs,13,1]; p15=Total/@ Partition[ prs,15,1];Select[Intersection[ p11,p13,p15],PrimeQ]] (* _Harvey P. Dale_, Aug 14 2023 *) %Y A339866 Cf. A127340, A127341, A161612, A213914. %K A339866 nonn %O A339866 1,1 %A A339866 _Zak Seidov_, Apr 24 2021