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 A115786 #12 Jan 19 2019 04:14:58 %S A115786 3,5,11,17,41,41,41,41,86351,86351,235313357,729457511,99445156397, %T A115786 818113387907,7986903815771,29065965967667 %N A115786 Smallest prime number p such that p + 2#, p + 3#, ..., p + prime(n)# are all prime, where x# = A034386(x) is the primorial. %C A115786 Subset of A001359 (lesser of twin primes). %C A115786 From a(2) = 5 on, also a subset of A022004: first element of prime triples (p, p+2, p+6).-- It could make sense to add a(0) = 2, the smallest prime (with empty further restriction "p + prime(n)# prime for 1 <= n <= 0"). - _M. F. Hasler_, Apr 29 2015 %H A115786 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_782.htm">Puzzle 782: Prime-Generating non-polynomials</a>, primepuzzles.net, April 4, 2015 %H A115786 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_350.htm">Puzzle 350. Primes & primorials</a>, primepuzzles.net, 2006 %e A115786 a(11) = 235313357 because 235313357, 235313357 + 2, 235313357 + 2*3, 235313357 + 2*3*5, ... and 235313357 + 2*3*5*7*11*13*17*19*23*29*31 are all prime and there is no smaller prime with this property. %Y A115786 Cf. A001359, A002110, A115785 (for p - p(i)#). %K A115786 more,nonn %O A115786 1,1 %A A115786 _Rick L. Shepherd_, Jan 31 2006 %E A115786 a(12) from _Don Reble_, Feb 15 2006 %E A115786 More terms from _Jens Kruse Andersen_, Feb 28 2006