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Smallest number k >= A000043(n) such that k*A000668(n)*(k*A000668(n)+1)-1 is prime.
0

%I #16 Apr 03 2023 10:36:13

%S 2,3,5,7,25,19,20,42,96,190,134,164,650,852,1455,2765,2480,3960,5464,

%T 6694,17206,13118,13680,28481,27445,28821,101696,116232,142083,187376,

%U 250118,1200007

%N Smallest number k >= A000043(n) such that k*A000668(n)*(k*A000668(n)+1)-1 is prime.

%C a(34) = 1200007.

%C A000043(34) = 756839.

%C A000668(34) = 2^756839-1.

%C 1200007*(2^756839-1)*(1200007*(2^756839-1)+1)-1 is a 455675 digits certified prime using PFGW.

%H Chris K. Caldwell, The List of Largest Known Primes, <a href="https://t5k.org/primes/page.php?id=118696">Prime corresponding to a(34)</a>

%Y Cf. A000043, A000668, A137908, A137909.

%K nonn

%O 1,1

%A _Pierre CAMI_, Oct 30 2014