A376895 - OEIS

%I #16 Oct 27 2024 16:07:32

%S 2,5,14348909,3502727633,150094635296999123,

%T 269211745384444720788843377,

%U 2075640621314051693456929619860436129299430333182575810508680776710025092954370975575949

%N Primes of the form 3^k*k^3 + 2.

%C A366997 are the corresponding integers k to obtain the terms of this sequence.

%C The next term a(8)=~2.20847*10^143 is too large to include.

%C The last known integer k in A366997 is 20803 and corresponds to a(13)=~3.21988*10^9938.

%F a(n) = 3^A366997(n)*A366997(n)^3 + 2.

%t Select[Table[3^k*k^3+2,{k,0,1000}],PrimeQ]

%Y Cf. A366997.

%K nonn

%O 1,1

%A _Paul F. Marrero Romero_, Oct 08 2024