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Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, ... 1000, 1010, 1110. There is an equivalent statement about subsets. ...
A repfigit, or Keith number, is an integer such that, when its digits start a Fibonacci sequence with that number of digits, the original number is eventually reached. An example is 47, because the Fibonacci sequence starting with 4 and 7 (4, 7, 11, 18, 29, 47) reaches 47.
In the Fibonacci sequence, each number is the sum of the previous two numbers. Fibonacci omitted the "0" and first "1" included today and began the sequence with 1, 2, 3, ... . He carried the calculation up to the thirteenth place, the value 233, though another manuscript carries it to the next place, the value 377.
1234 = number of parts in all partitions of 30 into distinct parts, [45] smallest whole number containing all numbers from 1 to 4; 1235 = excluding duplicates, contains the first four Fibonacci numbers [191] 1236 = 617 + 619: sum of twin prime pair [192] 1237 = prime of the form 2p-1; 1238 = number of partitions of 31 that do not contain 1 as a ...
For generalized Fibonacci sequences (satisfying the same recurrence relation, but with other initial values, e.g. the Lucas numbers) the number of occurrences of 0 per cycle is 0, 1, 2, or 4. The ratio of the Pisano period of n and the number of zeros modulo n in the cycle gives the rank of apparition or Fibonacci entry point of n .
1 The first 1000 prime numbers. 2 Lists of primes by type. Toggle Lists of primes by type subsection. ... A prime p > 5, if p 2 divides the Fibonacci number ...
Pages in category "Fibonacci numbers" The following 48 pages are in this category, out of 48 total. This list may not reflect recent changes. ...
A prime divides if and only if p is congruent to ±1 modulo 5, and p divides + if and only if it is congruent to ±2 modulo 5. (For p = 5, F 5 = 5 so 5 divides F 5) . Fibonacci numbers that have a prime index p do not share any common divisors greater than 1 with the preceding Fibonacci numbers, due to the identity: [6]