Intro to Elementary Number Theory Homework problem Using Fermat's little theorem, find the least residue of the (multiplicative) inverse ofmodulo 877. (Note that 877 is prime.)Type your answer...27877-9

We need to find the least residue of the (multiplicative) inverse of modulo .We know that, Fermat's…

Answered: Using Fermat's little theorem, find the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Intro to Elementary Number Theory homework problem.
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6. It is helpful to be able to think about very large numbers in terms of powers of 10. You should be familiar with many of these terms, but have you thought about how many 10's are multiplying each other? Here are some numbers to think about and examples of things that would be counted in these quantities. Fill in the proper power of 10. The first has been done for you. NUMBER POWER OF 10 EXAMPLE The distance between New York City and Boston is approximately 1 million feet. There are approximately 3 billion seconds in a century. There are 6 trillion miles in a light year, i.e. the distance light can travel in a year. There are approximately 1 quadrillion ants populating the earth at any time. There are approximately 8 quintillion grains of sand on all of the Earth's beaches. 1 million = 1,000 -1, 000 = 10 -10° = 10° 1 billion = 1,000 -1 million = 10' -10° = 1 trillion = (1 million) = (10")* = 1 quadrillion =1000-1 trillion = 1 quintillion = (1 billion)' =

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Using Fermat's little theorem, find the least residue of the (multiplicative) inverse of modulo 877. (Note that 877 is prime.) 27877-9