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10. Suppose n is a calculate 24 = a large odd number. You 2k (mod), where k is some integer k± 1 (mod n). a.) Suppose k² # 1 (mod n). Explain why this implies that n is not prime. b.) Suppose k² 1 (mod n). Explain how can you use this information to factor n.

10. Suppose n is a calculate 24 = a large odd number. You 2k (mod), where k is some integer k± 1 (mod n). a.) Suppose k² # 1 (mod n). Explain why this implies that n is not prime. b.) Suppose k² 1 (mod n). Explain how can you use this information to factor n.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10. Suppose n is a calculate 24 = a large odd number. You 2k (mod), where k is some integer k± 1 (mod n). a.) Suppose k² # 1 (mod n). Explain why this implies that n is not prime. b.) Suppose k² 1 (mod n). Explain how can you use this information to factor n.
Transcribed Image Text:10. Suppose n is a calculate 24 = a large odd number. You 2k (mod), where k is some integer k± 1 (mod n). a.) Suppose k² # 1 (mod n). Explain why this implies that n is not prime. b.) Suppose k² 1 (mod n). Explain how can you use this information to factor n.
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