A082993: more terms ?

[zak seidov]

%S A082993 2,3,7,43,1811,3270667,10697259354227
%N A082993 a(1) = 2; a(n+1) = least prime >
a(1)*a(2)*...*a(n).

Using Mmca
<<NumberTheory`NumberTheoryFunctions`
a=2;s=a;Reap[Sow[a];Do[b=NextPrime[s];Sow[b];s=s*b,{10}]][[2,1]]
it's easy to find 
2,3,7,43,1811,3270667,10697259354227,
114431357691543566765996431,
13094535623129987017538646614449662873664453962870113,
But are the last two terms "safe" primes?
Thanks, Zak

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