Updates

General Information
 

• Course Outline.

Hw1:  1.5 4,9,10,11,12.
Hw2:  1.5 50,51,52,54.  2.6  5
Hw3:  2.6 1,4,7,17,26,31,33.
Hw4:  2.6 19,22,28,32.  5.6 28,33,35.
Hw5:  2.6 3,40.  5.6 1,5,8,13,14.
Hw6:  3.8 1,6,10,15.  4.5 8,10.  5.6 44.
Hw7:  1. Prove that cuberoot(4/9) is irrational.
           2. Find all Pythagorean triples containing 12 or 27.
           3. Sieve out the primes from 450 to 500.
           2.6 38.    3.8 24,41,42.
Hw8:  1. Prove that there are infinitely many primes of the form 6k+5.  3.8 10,17,18,22,25,29.
Hw9:    Homework 9
Hw10:  Homework 10
Hw11:  4.5 4,7,13,19.  5.6 22,23,24,43.
Hw12:  5.6 3,7,10,29,30,31,37.
Hw13:   Homework 13
Hw14:  8.7 18,19,21,23,26,30.
Hw15:  1. Fermat factorize 3486761.  2. Find the two smallest solutions to x^2-13y^2=1.  6.5 18abc,19c,20,23.

Solutions

Some Number Theory Things

• The Prime Page.
• Archimedes Cattle of The Sun Problem.
• Certicom (Elliptic Curve Cryptography Area).
• The Number Theory Web.