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Grade 7/8 Math Circles Modular Arithmetic The Modulus Operator
Grade 7/8 Math Circles Modular Arithmetic The Modulus Operator

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... 3.2 Factors and Simplifying Fractions SWBAT 1. Find all the factors of a number. 2. Use divisibility rules to find factors. 3. Find the prime factors of a number. 4. Simplify fractions by factoring. ...
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... (1) is satisfied demonstrating there is at least one valid pair. Consequently the only remaining cases are powers of a single prime. If N = pn , n 3, choose q1 = p and q2 = p(n 1) 1, then q1 and q2 are coprime with q1 < q2 and N = q1 q2 + q1 . However, if N = p2 , where p is prime, we must have q1 = ...
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... complex conjugate character, defined by χ(b) := χ(b) for b ∈ Z. Furthermore, there is a generalization of the Riemann Hypothesis: Generalized Riemann Hypothesis (GRH): Let χ be a Dirichlet character modulo q for any integer q > 2. Then the zeros of L(s, χ) in the critical strip lie on the line Re s ...
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List of prime numbers

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