Fibonacci prime information

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):...

mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are...

138937, 141079, 267017, 269987, 374321 (OEIS: A000978) A prime p > 5, if p2 divides the Fibonacci number F p − ( p 5 ) {\displaystyle F_{p-\left({\frac {p}{5}}\right)}}...

Fibonacci (/ˌfɪbəˈnɑːtʃi/; also US: /ˌfiːb-/, Italian: [fiboˈnattʃi]; c. 1170 – c. 1240–50), also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo...

Eratosthenes can be sped up by considering only the prime divisors up to the square root of the upper limit. Fibonacci took the innovations from Islamic mathematics...

closely related Fibonacci sequence. Individual numbers in the Lucas sequence are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary...

Brahmagupta–Fibonacci identity Fibonacci coding Fibonacci cube Fibonacci heap Fibonacci polynomials Fibonacci prime Fibonacci pseudoprime Fibonacci quasicrystal...

Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in this...

Fermat primes, which include 5, 17, 257, and 65537. It is the second Fibonacci prime (and the second Lucas prime), the second Sophie Germain prime, the...

The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year. It is the primary...

the sequence of Fibonacci numbers taken modulo n repeats. Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The existence of...

In mathematics, the Fibonacci numbers form a sequence defined recursively by: F n = { 0 n = 0 1 n = 1 F n − 1 + F n − 2 n > 1 {\displaystyle...

indices are all themselves prime. As with the Fibonacci numbers, a Pell number Pn can only be prime if n itself is prime, because if d is a divisor of...

Lagged Fibonacci generators. Mersenne primes Mp are closely connected to perfect numbers. In the 4th century BC, Euclid proved that if 2p − 1 is prime, then...

five is also the second Fermat prime, and the third Mersenne prime exponent, as well as the fourth or fifth Fibonacci number; 5 is the first congruent...

factors(except 1) 2 5 11 prime 12 factors(except 1) 2 3 4 6 13 prime 14 factors(except 1) 2 7 15 factors(except 1) 3 5 Generate a Fibonacci number sequence, where...

large prime numbers of special forms: repunits, Fibonacci primes, prime Lucas numbers, twin primes, Sophie Germain primes, Belphegor's prime, and primes in...

also called the Fibonacci factorial, where n is a nonnegative integer, is defined as the product of the first n positive Fibonacci numbers, i.e. n !...