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 A164979 #17 Jun 03 2025 22:46:21 %S A164979 2,7,19,67,127,6619,126127,345979,476407,1658119,15182459419, %T A164979 105169832587,287583971287 %N A164979 Slowest growing sequence of primes having the semiprime-pairwise property: for any i,j, a(i)+a(j) is semiprime. %C A164979 By Dirichlet's theorem and Linnik's theorem, a(n) exists for all n. - _Charles R Greathouse IV_, Jun 03 2025 %F A164979 a(n) = A114845(n)/2. %F A164979 a(n) << A070826(n)^5. - _Charles R Greathouse IV_, Jun 03 2025 %o A164979 (PARI) lista(pmax) = {my(v = [2], ans); print1(v[1], ", "); forprime(p=3, pmax, ans = 1; for(i=1, #v, if(bigomega(p + v[i]) != 2, ans = 0; break)); if(ans, print1(p, ", "); v=concat(v, p)));} \\ _Amiram Eldar_, Jun 27 2024 %Y A164979 Subsequence of A045375. %Y A164979 Cf. A001358, A114845, A116656. %K A164979 nonn,more,hard %O A164979 1,1 %A A164979 _Zak Seidov_, Sep 03 2009 %E A164979 a(12) from _Amiram Eldar_, Jun 27 2024 %E A164979 a(13) from _Jinyuan Wang_, May 29 2025