Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Fermat's "Little" Theorem states that whenver n is prime and a is an integer,
d- = 1
mod n
a) If a = 29 and n =
29658 =
659, then efficiently compute
mod 659
b) If a = 102 and n = 179, then efficiently compute
102 102177 =
mod 179
Use the Extended Euclidean Algorithm to compute
102 =
mod 179.
Then 102177
mod 179.
c) If a = 406 and n = 509, then efficiently compute
%3D
406$10
mod 509
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Transcribed Image Text:Fermat's "Little" Theorem states that whenver n is prime and a is an integer, d- = 1 mod n a) If a = 29 and n = 29658 = 659, then efficiently compute mod 659 b) If a = 102 and n = 179, then efficiently compute 102 102177 = mod 179 Use the Extended Euclidean Algorithm to compute 102 = mod 179. Then 102177 mod 179. c) If a = 406 and n = 509, then efficiently compute %3D 406$10 mod 509
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