start with 0,1 add together =1
add to sequence, gives 0,1,1
add last two numbers =2
add to sequence, gives 0,1,1,2
add last two numbers =3
add to sequence, gives 0,1,1,2,3
add last two numbers = 5
add to sequence, gives 0,1,1,2,3,5
repeat forever, list is endless
Fibonacci primes are Fibonacci numbers that are also prime numbers. The Fibonacci sequence, defined as F(0) = 0, F(1) = 1, and F(n) = F(n-1) + F(n-2) for n ≥ 2, produces a series of numbers. Among these, the Fibonacci primes include numbers like 2, 3, 5, 13, and 89, which are prime and appear within the Fibonacci sequence. Not all Fibonacci numbers are prime, making Fibonacci primes a specific subset of both prime numbers and Fibonacci numbers.
No, the Fibonacci sequence and the Fibonacci triangle are not the same thing. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. In contrast, the Fibonacci triangle, also known as the Fibonacci triangle or triangle of Fibonacci numbers, is a triangular arrangement of numbers that represents combinations of Fibonacci numbers, often related to combinatorial properties. While both concepts are related to Fibonacci numbers, they have different structures and applications.
No, they are not the normal Fibonacci numbers.
The first 85 Fibonacci numbers are:011235813213455891442333776109871,5972,5844,1816,76510,94617,71128,65746,36875,025121,393196,418317,811514,229832,0401,346,2692,178,3093,524,5785,702,8879,227,46514,930,35224,157,81739,088,16963,245,986102,334,155165,580,141267,914,296433,494,437701,408,7331,134,903,1701,836,311,9032,971,215,0734,807,526,9767,778,742,04912,586,269,02520,365,011,07432,951,280,09953,316,291,17386,267,571,272139,583,862,445225,851,433,717365,435,296,162591,286,729,879956,722,026,0411,548,008,755,9202,504,730,781,9614,052,739,537,8816,557,470,319,84210,610,209,857,72317,167,680,177,56527,777,890,035,28844,945,570,212,85372,723,460,248,141117,669,030,460,994190,392,490,709,135308,061,521,170,129498,454,011,879,264806,515,533,049,3931,304,969,544,928,6572,111,485,077,978,0503,416,454,622,906,7075,527,939,700,884,7578,944,394,323,791,46414,472,334,024,676,22123,416,728,348,467,68537,889,062,373,143,90661,305,790,721,611,59199,194,853,094,755,497160,500,643,816,367,088
37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Fibonacci primes are Fibonacci numbers that are also prime numbers. The Fibonacci sequence, defined as F(0) = 0, F(1) = 1, and F(n) = F(n-1) + F(n-2) for n ≥ 2, produces a series of numbers. Among these, the Fibonacci primes include numbers like 2, 3, 5, 13, and 89, which are prime and appear within the Fibonacci sequence. Not all Fibonacci numbers are prime, making Fibonacci primes a specific subset of both prime numbers and Fibonacci numbers.
Leonardo Fibonacci
No, the Fibonacci sequence and the Fibonacci triangle are not the same thing. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. In contrast, the Fibonacci triangle, also known as the Fibonacci triangle or triangle of Fibonacci numbers, is a triangular arrangement of numbers that represents combinations of Fibonacci numbers, often related to combinatorial properties. While both concepts are related to Fibonacci numbers, they have different structures and applications.
No, they are not the normal Fibonacci numbers.
Because the sequence was discovered and studied by Fibonacci of Pisa
the fibonacci pattern of numbers came round about in the 1980's
the first seven Fibonacci numbers are 1,1,2,3,5,8,13. 13 is a Fibonacci number.
The first 85 Fibonacci numbers are:011235813213455891442333776109871,5972,5844,1816,76510,94617,71128,65746,36875,025121,393196,418317,811514,229832,0401,346,2692,178,3093,524,5785,702,8879,227,46514,930,35224,157,81739,088,16963,245,986102,334,155165,580,141267,914,296433,494,437701,408,7331,134,903,1701,836,311,9032,971,215,0734,807,526,9767,778,742,04912,586,269,02520,365,011,07432,951,280,09953,316,291,17386,267,571,272139,583,862,445225,851,433,717365,435,296,162591,286,729,879956,722,026,0411,548,008,755,9202,504,730,781,9614,052,739,537,8816,557,470,319,84210,610,209,857,72317,167,680,177,56527,777,890,035,28844,945,570,212,85372,723,460,248,141117,669,030,460,994190,392,490,709,135308,061,521,170,129498,454,011,879,264806,515,533,049,3931,304,969,544,928,6572,111,485,077,978,0503,416,454,622,906,7075,527,939,700,884,7578,944,394,323,791,46414,472,334,024,676,22123,416,728,348,467,68537,889,062,373,143,90661,305,790,721,611,59199,194,853,094,755,497160,500,643,816,367,088
37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
The negative Fibonacci numbers (also known as the Negafibonacci numbers) consist of the Fibonacci numbers in an alternating negative and positive pattern.The start of the Negafibonacci sequence runs thus:1, -1, 2, -3, 5, -8, 13, -21...And continues in a pattern identical to the Fibonacci numbers but with alternating negative and positive numbers.
Fibonacci numbers are important in art and music. The ratio between successive Fibonacci numbers approximates an important constant called "the golden mean" or sometimes phi, which is approximately 1.61803.
There is no upper bound to the sum of the numbers in the Fibonacci sequence; both the last number in the series and consequently the sum of all these numbers can be made as large as desired by continuing the series to sufficiently many numbers.