WebA Fibonacci prime is a Fibonacci number that is prime. The first few are: 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, ... Fibonacci primes with thousands of digits have been found, but it is not known whether there are infinitely many. As of August 2024, the largest known certain Fibonacci prime is F 148091, with 30949 digits. It was proved prime by Laurent Facq et al. in September 2024. The largest known probable Fibonacci prime is F 6530879. It was found by Ryan Propper in August 2024. See more A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime. The first Fibonacci primes are (sequence A005478 in the OEIS): 2, 3, 5, 13, 89, 233, … See more A prime $${\displaystyle p}$$ divides $${\displaystyle F_{p-1}}$$ if and only if p is congruent to ±1 modulo 5, and p divides $${\displaystyle F_{p+1}}$$ if and only if it is congruent to ±2 … See more A prime p ≠ 2, 5 is called a Fibonacci–Wieferich prime or a Wall–Sun–Sun prime if $${\displaystyle p^{2}\mid F_{q},}$$ where See more • Lucas number See more It is not known whether there are infinitely many Fibonacci primes. With the indexing starting with F1 = F2 = 1, the first 34 indices n for which Fn is prime are (sequence A001605 in the OEIS): n = 3, 4, 5, 7, 11, 13, 17, 23, 29, 43, 47, 83, 131, 137, 359, 431, … See more For a prime p, the smallest index u > 0 such that Fu is divisible by p is called the rank of apparition (sometimes called Fibonacci entry point) of p and denoted a(p). The rank of … See more Because $${\displaystyle F_{a} F_{ab}}$$, we can divide any Fibonacci number $${\displaystyle F_{n}}$$ by the least common multiple of all $${\displaystyle F_{d}}$$ See more
07_Fibonacci_primes - Portland State University
WebPython supports a "bignum" integer type which can work with arbitrarily large numbers. In Python 2.5+, this type is called long and is separate from the int type, but the interpreter will automatically use whichever is more appropriate. In Python 3.0+, the int type has been dropped completely. WebJul 20, 1998 · Fibonacci sequence, the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers; that is, the n th Fibonacci … share price kw
What Is the Fibonacci Sequence? HowStuffWorks
WebAug 24, 2024 · The ring of finite algebraic numbers and its application to the law of decomposition of primes @inproceedings{Rosen2024TheRO, title={The ring of finite algebraic numbers and its application to the law of decomposition of primes}, author={Julian Rosen and Yoshihiro Takeyama and Koji Tasaka and Shuji Yamamoto}, … Web28 rows · A Fibonacci prime is a Fibonacci number that is also a prime number. Every that … WebApr 11, 2024 · A Fibonacci number is said to be a Fibonacci prime if it is a prime number. For example, 2, 3, 5, 13 and 89. There are only 3 one-digit and 2 two-digit Fibonacci primes. Other examples of Fibonacci primes are 233 and 1597. 233 is the only 3-digit Fibonacci prime and 1597 is also the case for the 4-digits. share price less than 10