A358555 Composite Fibonacci numbers that are not divisible by any Fibonacci primes.

4181, 1346269, 24157817, 39088169, 165580141, 53316291173, 956722026041, 2504730781961, 4052739537881, 44945570212853, 308061521170129, 806515533049393, 1304969544928657, 14472334024676221, 61305790721611591, 1779979416004714189, 83621143489848422977

Offset

1,1

Comments

Prime Fibonacci numbers are divisible by themselves, thus the only purpose of the word "composite" in the definition is to exclude 1.

Links

Table of n, a(n) for n=1..17.

Example

Fibonacci number 4181 equals 37*113, while the first few Fibonacci primes are 2, 3, 5, 13, 89, 233. Thus, 4181 is in the sequence. The next Fibonacci number 6765 is divisible by 5, which is a Fibonacci prime. Thus, 6765 is not in the sequence.

Crossrefs

Cf. A000045, A005478.

Sequence in context: A072322 A045728 A048593 * A050937 A135953 A290846

Adjacent sequences: A358552 A358553 A358554 * A358556 A358557 A358558

Keyword

nonn

Author

Tanya Khovanova, Jan 04 2023

Status

approved