Consider the ring Z1573, with standard addition and multiplication modulo 1573. Note that 1573 = 112 · 13. Using Euler's theorem, find the value of 21322 mod 1573. (hint: first calculate Euler's totient function in 1573)

Consider the ring Z1573, with standard addition and multiplication modulo 1573. Note that 1573 = 112 · 13. Using Euler's theorem, find the value of 21322 mod 1573. (hint: first calculate Euler's totient function in 1573)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 33E: Consider the set S={ [ 0 ],[ 2 ],[ 4 ],[ 6 ],[ 8 ],[ 10 ],[ 12 ],[ 14 ],[ 16 ] }18. Using addition...

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