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.

A164979 Slowest growing sequence of primes having the semiprime-pairwise property: for any i,j, a(i)+a(j) is semiprime.

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%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