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%I #13 Jul 31 2019 09:07:22
%S 2,7,41233
%N Numbers k such that (44^k + 1)/45 is prime.
%C Larger terms correspond to probable primes.
%H P. Bourdelais, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;417ab0d6.0906">A Generalized Repunit Conjecture</a>
%t Do[p=Prime[n]; If[PrimeQ[(44^p + 1)/45], Print[p]], {n, 1, 1000000}]
%o (PARI) is(n)=ispseudoprime((44^n+1)/45)
%K nonn,bref,hard,more
%O 1,1
%A _Paul Bourdelais_, Jul 29 2019