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 A283563 #17 Mar 12 2017 06:48:13
%S A283563 1,2,3,4,5,6,11,18,22,71
%N A283563 Numbers n such that A112368(n) = Sum_{i=0..n} 2^i*i! is prime.
%C A283563 All the terms of A112368 starting from a(72) are divisible by 73.
%C A283563 The first 9 associated primes are 3, 11, 59, 443, 4283, 50363, 85662309563, 1726380042510080613563, 4824162806180387282426469563. The 10th and last term is about 2.022... * 10^123.
%H A283563 Amiram Eldar, <a href="/A283563/b283563.txt">Table of n, a(n) for n = 1..10</a>
%e A283563 1 is in this sequence because 2^0*0! + 2^1*1! = 3 is prime.
%t A283563 A112368[n_] := Sum[2^i*i!, {i, 0, n}]; Select[Range[0, 1000], PrimeQ[A112368[#]] &]
%o A283563 (PARI) isok(n) = isprime(sum(i=0, n, 2^i*i!)); \\ _Michel Marcus_, Mar 11 2017
%Y A283563 Cf. A112368.
%K A283563 nonn,fini,full
%O A283563 1,2
%A A283563 _Amiram Eldar_, Mar 11 2017