%I #7 Jan 02 2023 09:01:05
%S 2,3,7,43,3613,65250781,38318979202732621,
%T 8810065002836730577256726488782121,
%U 6131762382982476362788562753503495060507087787406616806191258317645081
%N The primes associated with A339174.
%C a(1)=2; for n > 0, a(n+1) is the first prime of the form k*(a(n) - 1)*a(n) + 1. It exists by Dirichlet's theorem on arithmetic progressions.
%C It is simple to reconstruct a(n) from A339174, which has the more compact representation.
%o (PARI) p=2; k=1; print1(p, ", "); while(1, runningP=k*(p-1)*p+1; if(ispseudoprime(runningP), k=1; p=runningP; print1(p, ", ") , k++))
%Y Cf. A061092, A071580, A339174.
%K nonn
%O 1,1
%A _Jeppe Stig Nielsen_, Dec 27 2022