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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.
In 1969, the Government of India announced the introduction of a new express train capable of reaching speeds of up to 120 km/h (75 mph) in the railway budget and the first Rajdhani Express was flagged off from New Delhi to Howrah in March 1969. [28] [29] In 1974, Indian Railways endured a 20-day strike.
5 is the value of the central cell of the first non-trivial normal magic square, called the Luoshu square. 5 is also the first of three known Wilson primes (5, 13, 563), [14] where the square of a prime divides As a consequence of Fermat's little theorem and Euler's criterion, all squares are congruent to 0, 1, 4 (or −1) modulo 5. [15]
Book in advance because it fills up fast, and book mid-week to avoid crowds. For general admission purchase your tickets on-line in advance w/coupon code LH15 to get a 15% discount off regular admission prices. Or join as a family member for discounts to local attractions, and 20% off in the Museum shop as well as free admission all year long.
With 20 years remaining to maturity, the price of the bond will be 100/1.07 20, or $25.84. Even though the yield-to-maturity for the remaining life of the bond is just 7%, and the yield-to-maturity bargained for when the bond was purchased was only 10%, the annualized return earned over the first 10 years is 16.25%.
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