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... If n is a composite number that is not a Carmichael number, then at least half of the numbers between 1 and n are witnesses to the compositeness of n. Corollary: Let n be a composite number that is not a Carmichael number. If we pick a random number a, 1
... If n is a composite number that is not a Carmichael number, then at least half of the numbers between 1 and n are witnesses to the compositeness of n. Corollary: Let n be a composite number that is not a Carmichael number. If we pick a random number a, 1
PPT
... Each person will have a unique number For each question, I will first give the class time to work out an answer. Then, I will call three different people at random They must explain the answer to the TAs (who are all the way in the back). If the TAs are satisfied, the class gets points. If the class ...
... Each person will have a unique number For each question, I will first give the class time to work out an answer. Then, I will call three different people at random They must explain the answer to the TAs (who are all the way in the back). If the TAs are satisfied, the class gets points. If the class ...
PPT
... Ck is called the k-th convergent of is the limit of the sequence C1, C2, C3,… A rational p/q is the best approximator to a real if no rational number of denominator smaller than q comes closer to Given any CF representation of , each convergent of the CF is a best approximator for ...
... Ck is called the k-th convergent of is the limit of the sequence C1, C2, C3,… A rational p/q is the best approximator to a real if no rational number of denominator smaller than q comes closer to Given any CF representation of , each convergent of the CF is a best approximator for ...
ELEMENTS OF NUMBER THEORY - Department of Mathematical
... For two integers a and b 6= 0, there may exist an integer q such that a = bq. If this happens, then we say that b divides a, and denote this fact by writing b|a. If b|a, then a is called a multiple of b, b is called a divisor of a and q is called the quotient of the division of a by b. Using “the” i ...
... For two integers a and b 6= 0, there may exist an integer q such that a = bq. If this happens, then we say that b divides a, and denote this fact by writing b|a. If b|a, then a is called a multiple of b, b is called a divisor of a and q is called the quotient of the division of a by b. Using “the” i ...