ON FIBONACCI POWERS
... The Fibonacci numbers have engaged the attention of mathematicians for several centuries, and whilst many of their properties are easy to establish by very simple methods, there are several unsolved problems connected to them. Fibonacci numbers are defined with recurrence Fn = Fn−1 +Fn−2 , for n ≥ 2 ...
... The Fibonacci numbers have engaged the attention of mathematicians for several centuries, and whilst many of their properties are easy to establish by very simple methods, there are several unsolved problems connected to them. Fibonacci numbers are defined with recurrence Fn = Fn−1 +Fn−2 , for n ≥ 2 ...
Lecture Notes on Primality Testing
... This algorithm is obviously correct. However, because the for-loop has O( n) iterations, the algorithm does not have running time polynomial in the number of input bits. (Consider the case where n is an integer ...
... This algorithm is obviously correct. However, because the for-loop has O( n) iterations, the algorithm does not have running time polynomial in the number of input bits. (Consider the case where n is an integer ...
Exercises - UVic Math
... 2. Is it true that (121)b is a square in any base b? Why or why not? 3. Find a base b such that (122)b = 101. 4. Find x if (123)4 = x5 . 5. Show that a number in base 3 is even if and only of the sum of its digits is even. In which other bases is this true? 6. Let a, b, c, d ∈ Z. Prove that if a|b a ...
... 2. Is it true that (121)b is a square in any base b? Why or why not? 3. Find a base b such that (122)b = 101. 4. Find x if (123)4 = x5 . 5. Show that a number in base 3 is even if and only of the sum of its digits is even. In which other bases is this true? 6. Let a, b, c, d ∈ Z. Prove that if a|b a ...
