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 A329532 #19 Apr 19 2025 18:01:00
%S A329532 1,2,3,4,24,25,45,59,1238,2635,4209,5341
%N A329532 Numbers k such that Product_{j=1..k} prime(j) + Product_{j=k+1..2*k} prime(j) is prime.
%C A329532 Based on discussion in primenumbers Yahoo group dated May 12, 2004, with a(9) = 1238 given by _Jens Kruse Andersen_.
%C A329532 Numbers k > 0 such that A002110(k) + A002110(2*k)/A002110(k) is prime. - _Daniel Suteu_, Nov 22 2019 [Edited by _Michael S. Branicky_, Apr 17 2025; else, 0 would be a term since A002110(0)=1 yields prime 2.]
%C A329532 a(13) > 10^4. - _Michael S. Branicky_, Apr 19 2025
%H A329532 Cashogor, Payam Samidoost, David Cleaver, Jens Kruse Andersen, <a href="/A329532/a329532.txt">Creating Primes</a>, digest of 9 messages in primenumbers Yahoo group, May 12, 2004. [Cached copy]
%o A329532 (PARI) for (k=1,100,if (ispseudoprime(prod(j=1,k,prime(j))+prod(j=k+1,k+k,prime(j))),print1(k,", ")))
%Y A329532 Cf. A093429.
%K A329532 nonn,hard,more
%O A329532 1,2
%A A329532 _Hugo Pfoertner_, Nov 15 2019
%E A329532 a(10) from _Daniel Suteu_, Nov 22 2019
%E A329532 a(11)-a(12) from _Michael S. Branicky_, Apr 17 2025