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4. (i) Using the fauct that 187 = 11 · 17, show that 21к—174 ноd 187. This shows that 187 fails the base 2 primality test. (iї) Соmpute 21911 mod 1911. Use Fermat's little theorem and hand calculations. Does 1911 pass or fail the base 2 primality test? n primo fuotorim Vou ua. of 1011

4. (i) Using the fauct that 187 = 11 · 17, show that 21к—174 ноd 187. This shows that 187 fails the base 2 primality test. (iї) Соmpute 21911 mod 1911. Use Fermat's little theorem and hand calculations. Does 1911 pass or fail the base 2 primality test? n primo fuotorim Vou ua. of 1011

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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4. (i) Using the fact that 187 = 11 · 17, show that 2186 = 174 mod 187. This shows that 187 fails the base 2 primality test. (ii) Compute 21911 mod 1911. Use Fermat's little theorem and hand calculations. Does 1911 pass or fail the base 2 primality test? You may use the prime factorization of 1911.
Transcribed Image Text:4. (i) Using the fact that 187 = 11 · 17, show that 2186 = 174 mod 187. This shows that 187 fails the base 2 primality test. (ii) Compute 21911 mod 1911. Use Fermat's little theorem and hand calculations. Does 1911 pass or fail the base 2 primality test? You may use the prime factorization of 1911.
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