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

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

Offset: 1

Author

Patrick N. Valdivia, Mar 01 2022

Keywords

• nonn

Comments

Primes in A136412.

Examples

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

Crossrefs

Cf. A000040, A136412.

Programs

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 *)

Formula

{ A000040 } intersect { A136412 }.