A376895 Primes of the form 3^k*k^3 + 2.

2, 5, 14348909, 3502727633, 150094635296999123, 269211745384444720788843377, 2075640621314051693456929619860436129299430333182575810508680776710025092954370975575949

Offset: 1

Author

Paul F. Marrero Romero, Oct 08 2024

Keywords

• nonn

Comments

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

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

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

Crossrefs

Cf. A366997.

Programs

Mathematica

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

Formula

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