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
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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