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
January 19
Edit
0
5
…
0
Tags
No tags
edit
Save
Cancel
Notify
RSS
Backlinks
Source
Print
Export (PDF)
Exercise 0 (8.3 (b),(c),(d),(e)).
Find all incongruent solutions to each of the following congruences:
(b)
(c)
(d)
(e)
Question 1 (12.2 (a)).
Show that there are infinitely many primes of the for 6n+5.
Exercise 2.
Determine the value of
Question 3.
Show that the equation
has no nonzero integer solutions.
Does it have nonzero solutions mod 6?
Question 4 (based on 2.1 (b)).
Show that in a primitive Pythagorean triple a,b,c exactly one of a,b,c is divisible by 5.
Question 5 (8.4 (d))
Show that a number is divisible by 9 if and only if its sum of digits is divisible by 9.
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...
Find all incongruent solutions to each of the following congruences:
(b)
(c)
(d)
(e)
Question 1 (12.2 (a)).
Show that there are infinitely many primes of the for 6n+5.
Exercise 2.
Determine the value of
Question 3.
Show that the equation
has no nonzero integer solutions.
Does it have nonzero solutions mod 6?
Question 4 (based on 2.1 (b)).
Show that in a primitive Pythagorean triple a,b,c exactly one of a,b,c is divisible by 5.
Question 5 (8.4 (d))
Show that a number is divisible by 9 if and only if its sum of digits is divisible by 9.