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Primes of the form (2*k)!/(2*(k!)^2)-1.
3

%I #13 Jun 13 2024 17:00:41

%S 2,461,92377,269128937219,51913710643776705684835559,

%T 3017467217880703353213932318284163999

%N Primes of the form (2*k)!/(2*(k!)^2)-1.

%C The next term (2*306)!/(2*(306!)^2)-1 has 183 decimal digits.

%t Select[Table[(2n)!/(2(n!)^2)-1, {n, 70}],PrimeQ] (* _James C. McMahon_, Jun 13 2024 *)

%Y Cf. A001700, A112861, A112864.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Sep 30 2005