A257074 Primes in the 10th-order Fibonacci numbers A127194.

19, 37, 73, 577, 1153, 588097, 1175617, 2350081, 18772993, 4877942342401, 40459828019985257473, 161680527238968327169, 323202386497090728961, 10317126837306838775329, 171065716870341976441855042753

Offset: 1

Author

Robert Price, Apr 15 2015

Keywords

• nonn

Comments

a(16) is too large to display here. It has 53 digits and is the 184th term in A127194.

Links

• Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas n-step Sequences, J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4.
• OEIS Wiki, Index of Prime Fibonacci Numbers and Variants
• OEIS Wiki, Index to OEIS Section Fi

Crossrefs

Cf. A127194, A257073.

Programs

Mathematica

a={1,1,1,1,1,1,1,1,1,1}; step=10; offset=1; lst={}; For[n=step+offset,n<=1000,n++, sum=Plus@@a; If[PrimeQ[sum], AppendTo[lst,sum]]; a=RotateLeft[a]; a[[step]]=sum]; lst
Select[With[{t=Table[1,{10}]},LinearRecurrence[t,t,400]],PrimeQ] (* Harvey P. Dale, Jan 17 2024 *)