A163851 Primes of the form Fibonacci(k)-2.

3, 11, 19, 53, 6763, 354224848179261915073, 6356306993006846248181, 6549923758702735390139183573072808204317151158828986996794832713116199613609647330495585293499629115294769, 131000268055609921839337880403168874871518195097038587116150308718344497444830568622793920406537331453336153249817445002421

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Aug 05 2009

Keywords

• nonn

Comments

Contains the numbers A000045(k)-2 for k = 5, 7, 8, 10, 20, 100, 106, 508, 586, ...

which equal A000040(j) for j = 2, 5, 8, 16, 871,...

Repunit primes in the lazy Fibonacci representation (A104326). - A.H.M. Smeets, Jun 26 2025

Programs

Mathematica

Clear[lst,a,f,n,p]; a=2;lst={};Do[f=Fibonacci[n];If[PrimeQ[p=f-a]&&p>1,AppendTo[lst,p]],{n,3*6!}];lst
Select[Fibonacci[Range[4,1000]]-2,PrimeQ] (* Harvey P. Dale, Jan 12 2019 *)

Extensions

Indices into Fibonacci and prime sequences added by R. J. Mathar, Aug 18 2009