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Every prime number p divides a Fibonacci number that can be determined by the value of p modulo 5. If p is congruent to 1 or 4 modulo 5, then p divides F p−1, and if p is congruent to 2 or 3 modulo 5, then, p divides F p+1. The remaining case is that p = 5, and in this case p divides F p.
The 4–1–3–2 is a variation of the 4–1–2–1–2 and features a strong and talented defensive centre midfielder. This allows the remaining three midfielders to play further forward and more aggressively, and also allows them to pass back to their defensive mid when setting up a play or recovering from a counterattack.
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
Straight-five engines typically use a firing order of 1-2-4-5-3, in order to minimise the primary vibration from the rocking couple. Straight-six engines typically use a firing order of 1-5-3-6-2-4, which results in perfect primary and secondary balance. However, a firing order of 1-2-4-6-5-3 is common on medium-speed marine engines.
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
Cyanuric chloride is an organic compound with the formula (NCCl) 3. This white solid is the chlorinated derivative of 1,3,5-triazine. It is the trimer of cyanogen chloride. [1] Cyanuric chloride is the main precursor to the popular but controversial herbicide atrazine .
For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n ...