A352046 Primes of the form (5*4^k + 1)/3.

2, 7, 107, 6827, 27962027, 1789569707, 114532461227, 7870610804782742022827, 37167908664217705235892863787747269176634027, 9743344248872686121357898884775220131039550286507, 623574031927851911766905528625614088386531218336427, 46011642311937091916231705748513503016340726481135910367750161491995307

Offset

1,1

Comments

Primes in A136412.

Links

Table of n, a(n) for n=1..12.

Formula

{ A000040 } intersect { A136412 }.

Example

107 is a term because it is a prime and (5*4^3 + 1)/3 = 107.

Maple

select(isprime, [(5*4^k+1)/3$k=0..120])[];  # Alois P. Heinz, Mar 01 2022

Mathematica

Select[(5*4^Range[0, 200]+1)/3, PrimeQ] (* Harvey P. Dale, Sep 04 2024 *)

Crossrefs

Cf. A000040, A136412.

Sequence in context: A162634 A235470 A072664 * A045310 A224445 A000157

Adjacent sequences: A352043 A352044 A352045 * A352047 A352048 A352049

Keyword

nonn

Author

Patrick N. Valdivia, Mar 01 2022

Status

approved