Skip to main content
guest
Join

Help

Sign In
Small Margins
Home
guest

Join

Help

Sign In
Small Margins
Wiki Home
Recent Changes
Pages and Files
Members
Favorites
20
All Pages
20
home
Course information
February 14
February 16
February 2
February 7
February 9
January 10
January 12
January 17
January 19
January 26
January 31
March 1
March 13
March 20
March 27
March 3
Past exams
Questions
see more
Add
Add "All Pages"
Done
March 3
Edit
0
2
…
0
Tags
No tags
edit
Save
Cancel
Notify
RSS
Backlinks
Source
Print
Export (PDF)
Question 1
a) Compute
b) Compute
Question 2
If
is prime, show that 3 is not a quadratic residue.
Combine this with the result of question 2 from
March 1
to conclude that every number not divisible by p is congruent to a power of 3 modulo p.
Question 3
For what primes p the number 5 is a quadratic residue?
Question 4
Show that any prime number p which is congruent to 1 modulo 6 is a divisor of some number of the form
Javascript Required
You need to enable Javascript in your browser to edit pages.
help on how to format text
Turn off "Getting Started"
Home
...
Loading...
a) Compute
b) Compute
Question 2
If
is prime, show that 3 is not a quadratic residue.
Combine this with the result of question 2 from March 1 to conclude that every number not divisible by p is congruent to a power of 3 modulo p.
Question 3
For what primes p the number 5 is a quadratic residue?
Question 4
Show that any prime number p which is congruent to 1 modulo 6 is a divisor of some number of the form