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 A076973 #16 Nov 23 2018 03:16:26 %S A076973 2,2,2,3,3,3,5,5,5,5,7,7,7,7,7,7,11,11,11,11,11,11,13,13,13,13,13,13, %T A076973 17,17,17,17,17,17,19,19,19,19,19,19,23,23,23,23,23,23,23,23,23,23,29, %U A076973 29,29,29,29,29,29,29,31,31,31,31,31,31,31,31,37,37,37,37,37,37,37,37 %N A076973 Starting with 2, largest prime divisor of the sum of all previous terms. %C A076973 Conjecture: start from any initial value a(1) = m >= 2 and define a(n) to be the largest prime factor of a(1)+a(2)+...+a(n-1); then a(n) = n/2 + O(log(n)) and there are infinitely many primes p such that a(2p)=p. - _Benoit Cloitre_, Jun 04 2003 %H A076973 Harvey P. Dale, <a href="/A076973/b076973.txt">Table of n, a(n) for n = 1..1000</a> %F A076973 a(n) = p(m) (the m-th prime), where m is the smallest index such that n <= p(m+1) + p(m) - 2. - _Max Alekseyev_, Oct 21 2008 %t A076973 nxt[{t_,a_}]:=Module[{c=FactorInteger[t][[-1,1]]},{t+c,c}]; NestList[nxt,{2,2},80][[All,2]] (* _Harvey P. Dale_, May 21 2017 *) %Y A076973 From the third term onwards the sequence coincides with A076272. %K A076973 nonn %O A076973 1,1 %A A076973 _Amarnath Murthy_, Oct 22 2002 %E A076973 More terms from _Sascha Kurz_, Jan 22 2003