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 A341812 #11 Mar 03 2021 22:05:18 %S A341812 3,7,176078267 %N A341812 Primes p such that p#-1 is divisible by the next prime after p. %C A341812 Here p# means A034386(p). %C A341812 The next prime after p is then in A341804. %H A341812 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_117.htm">Puzzle 117. Certain p#+1 values</a>, contains message from Wilfred Whiteside mentioning this sequence. %e A341812 The prime 7 is a member of this sequence because 2*3*5*7-1=209 is divisible by 11, the next prime immediately following 7. %e A341812 11 is NOT a member of this sequence because 2*3*5*7*11-1=2309 is not divisible by 13 (leaves a remainder of 8), the next prime after 11. %o A341812 (PARI) isok(p) = if (isprime(p), my(a=Mod(1,nextprime(1+p))); forprime(q=2,p,a*=q); (a == 1)); \\ _Michel Marcus_, Mar 03 2021 %Y A341812 Cf. A057588, A058233, A341804, A341805. %K A341812 nonn,bref,hard,more %O A341812 1,1 %A A341812 _Jeppe Stig Nielsen_, Feb 20 2021