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

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

Offset

1,1

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.

Links

Table of n, a(n) for n=1..7.

Formula

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

Mathematica

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

Crossrefs

Cf. A366997.

Sequence in context: A325957 A247148 A139062 * A241861 A340984 A122760

Adjacent sequences: A376892 A376893 A376894 * A376896 A376897 A376898

Keyword

nonn

Author

Paul F. Marrero Romero, Oct 08 2024

Status

approved