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

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

Offset

1,1

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,...

Links

Table of n, a(n) for n=1..9.

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 *)

Crossrefs

Sequence in context: A309027 A213891 A336790 * A213051 A238362 A116945

Adjacent sequences: A163848 A163849 A163850 * A163852 A163853 A163854

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Aug 05 2009

Extensions

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

Status

approved