Prove that every odd prime except 5 divides some number of the form 111...11 k digits, all ones
Prove that every odd prime except 5 divides some number of the form 111...11 k digits, all ones
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 problems. Make sure your handwriting is neat and readable.
![Prove that every odd prime except 5 divides some number of the form
111...11
k digits, all ones](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b62c17d-5c05-48d6-ac2b-a3a7c31907f7%2F9ccb24f0-9a35-4dbc-8dfb-361c568604d6%2Fa11sefq_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that every odd prime except 5 divides some number of the form
111...11
k digits, all ones
![Using Fermat's little theorem, find the least residue of the (multiplicative) inverse of
modulo 877. (Note that 877 is prime.)
Type your answer...
27877-9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b62c17d-5c05-48d6-ac2b-a3a7c31907f7%2F9ccb24f0-9a35-4dbc-8dfb-361c568604d6%2Fhxuh5l_processed.png&w=3840&q=75)
Transcribed Image Text:Using Fermat's little theorem, find the least residue of the (multiplicative) inverse of
modulo 877. (Note that 877 is prime.)
Type your answer...
27877-9
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