Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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14. Demonstrate that 21 has nỏ pr. 2.3c S, 7,11,2l 5,7,11,21 prime rk 15. Let r be a primitive root of n. If gcd(a, n) = 1, then the smallest positive integer k such that a = (mod n) is called the index of a relative to r, denoted by ind,a. The theory of indices can be used to solve congruences. Consider the properties of indices (p. 164) and example 8.4 (p. 164). Solve pi43? 8x* = 11 (mod 13)
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Transcribed Image Text:14. Demonstrate that 21 has nỏ pr. 2.3c S, 7,11,2l 5,7,11,21 prime rk 15. Let r be a primitive root of n. If gcd(a, n) = 1, then the smallest positive integer k such that a = (mod n) is called the index of a relative to r, denoted by ind,a. The theory of indices can be used to solve congruences. Consider the properties of indices (p. 164) and example 8.4 (p. 164). Solve pi43? 8x* = 11 (mod 13)
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