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 A111071 #25 Sep 08 2022 08:45:20
%S A111071 1,8,24,64,126,202,300,408,636,862,1106,1474,1716,1968,2432,3066,3532,
%T A111071 4016,4684,5104,5684,6468,7290,8532,9694,10296,10912,11550,12190,
%U A111071 14220,16500,17808,18894,20560,22342,23544,25424,27048,28712,30786,32208
%N A111071 Difference between the product of two consecutive primes and the next prime.
%F A111071 a(n) = prime(n)*prime(n+1)-prime(n+2) = A006094(n)-A000040(n+2) = 2*A152527(n-1).
%e A111071 a(4)= prime(4)*prime(5)-prime(6) = 7*11-13=64.
%p A111071 seq(ithprime(n)*ithprime(n+1)-ithprime(n+2), n=1..50); # _Emeric Deutsch_, Oct 10 2005
%t A111071 f[n_] := Prime[n]Prime[n + 1] - Prime[n + 2]; Table[ f[n], {n, 41}] (* _Robert G. Wilson v_, Oct 10 2005 *)
%t A111071 #[[1]]*#[[2]]-#[[3]]&/@Partition[Prime[Range[50]],3,1] (* _Harvey P. Dale_, Aug 06 2015 *)
%o A111071 (PARI) main(size)=my(n);vector(size,n,prime(n)*prime(n+1)-prime(n+2)) /* _Anders Hellström_, Jul 16 2015 */
%o A111071 (Magma) [NthPrime(n)*NthPrime(n+1)-NthPrime(n+2): n in [1..50]]; // _Vincenzo Librandi_, Jul 18 2015
%Y A111071 Cf. A000040.
%K A111071 nonn
%O A111071 1,2
%A A111071 Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Oct 09 2005
%E A111071 More terms from _Robert G. Wilson v_ and _Emeric Deutsch_, Oct 10 2005