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 A200918 #18 Feb 26 2020 11:49:23 %S A200918 2,2,2,3,7,13,19,37,757,111779,670669,6371347,34204069,166437443, %T A200918 310854619,385634101,14188652209,42594124681,10825536799379161, %U A200918 154680726732318637 %N A200918 Successive prime factors of (3^1006003 - 3)/1006003^2. %C A200918 1006003 = A014127(2). %C A200918 2 is the only prime that occurs to a power greater than 1. %C A200918 Conjecture (*Artur Jasinski*): If another infinite sequences with good Hall's examples occurred, it would have to contain primes from this sequence as constant divisors of the whole sequence, because parts of Danilov's infinite sequence (A200216, A200217, A200218) contain divisors of (3^A014127(1) - 3)/(A014127(1)^2). %C A200918 a(21) > 10^18. - _Max Alekseyev_, Feb 26 2020 %H A200918 FactorDB, <a href="http://factordb.com/index.php?query=3%5E1006002+-+1">Factorization of 3^1006002 - 1</a>. %Y A200918 Cf. A014127. %K A200918 nonn,fini,more %O A200918 1,1 %A A200918 _Artur Jasinski_, Nov 24 2011 %E A200918 More terms from _Sean A. Irvine_, Sep 06 2012 %E A200918 a(19)-a(20) from _Max Alekseyev_, Feb 13 2020