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Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via using the gcd(N, a - b). N = 198103 11892 = 27000 (mod 198103) 1605²686 (mod 198103) 2378² = 108000 (mod 198103) 2815² 105 (mod 198103) and and and and 27000 23.33.53 686 = 2.7³ 108000 = 25.33.53 105 = 3.5.7

Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via using the gcd(N, a - b). N = 198103 11892 = 27000 (mod 198103) 1605²686 (mod 198103) 2378² = 108000 (mod 198103) 2815² 105 (mod 198103) and and and and 27000 23.33.53 686 = 2.7³ 108000 = 25.33.53 105 = 3.5.7

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via using the gcd(N, a - b). N 198103 1189² = 27000 (mod 198103) 16052686 (mod 198103) 23782 108000 (mod 198103) 28152 105 (mod 198103) and and and and 2³.33.53 27000 = 686 = 2.7³ 108000 = 25.3³.5³ 105 3.5.7
Transcribed Image Text:Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via using the gcd(N, a - b). N 198103 1189² = 27000 (mod 198103) 16052686 (mod 198103) 23782 108000 (mod 198103) 28152 105 (mod 198103) and and and and 2³.33.53 27000 = 686 = 2.7³ 108000 = 25.3³.5³ 105 3.5.7
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