%I #21 Aug 18 2015 08:01:34
%S 8191,2,3,7,53,1399,5,19,646843,26945441,109,443,90670999,
%T 280460690293140589,907,16293787,3655513,499483,131,21067,143797,
%U 54540542259000816707816058313971443,392963,977,11,5021,179,439,353,34417238589462247,1193114397863177,13,59,31643,79399,73,43,16639867
%N Euclid-Mullin sequence (A000945) with initial value a(1)=8191 instead of a(1)=2.
%H Sean A. Irvine, <a href="/A051334/b051334.txt">Table of n, a(n) for n = 1..59</a>
%t a[1]=8191; a[n_] := First[ Flatten[ FactorInteger[ 1+Product[ a[ j ], {j, 1, n-1} ] ] ] ]; Array[a, 10]
%o (PARI) spf(n)=my(f=factor(n)[1,1]);f;
%o first(m)={my(v=vector(m)); v[1]=8191; for(i=2, m, v[i]=spf(1+prod(j=1, i-1, v[j]))); v;} /* _Anders Hellström_, Aug 18 2015 */
%Y Cf. A000945, A000946, A005265, A005266.
%K nonn
%O 1,1
%A _Labos Elemer_
%E More terms from _Sean A. Irvine_, Sep 20 2012
%E a(30)-a(38) from _Charles R Greathouse IV_, Sep 21 2012