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 A115785 #13 Jun 25 2025 04:03:36 %S A115785 5,13,43,229,3463,43789,1088449,19800379,264333259,9348884059, %T A115785 228178314439,7931712374479,307867708410673,13230211614496609, %U A115785 618681508598750923 %N A115785 Smallest prime number p such that p - prime(1)#, p - prime(2)#, ..., p - prime(n)# are all prime, where prime(i)# is the primorial of the i-th prime (A002110(i)). %C A115785 Subset of A006512 (greater of twin primes). %C A115785 Inspired by C. Rivera's Prime Curio for 313. a(4) = 229 is the smallest prime having the same property he states for 313. %H A115785 G. L. Honaker, Jr. and Chris Caldwell, <a href="https://t5k.org/curios/cpage/5730.html">Prime Curios! 313</a> %H A115785 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_350.htm">Puzzle 350. Primes & primorials</a>, The Prime Puzzles & Problems Connection. %e A115785 a(4) = 229 because 229, 229 - 2, 229 - 2*3, 229 - 2*3*5 and 229 - 2*3*5*7 are all prime and there is no smaller prime with this property. %Y A115785 Cf. A002110, A006512, A115786 (for p + prime(i)#). %K A115785 nonn,more %O A115785 1,1 %A A115785 _Rick L. Shepherd_, Jan 31 2006 %E A115785 a(10) from _Don Reble_, Feb 15 2006 %E A115785 More terms from _Jens Kruse Andersen_, Feb 26 2006