Week  Topics  Study Materials  Materials 
1 
Pythagorean Triples. Sums of Higher Powers and Fermat’s Last Theorem.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

2 
Divisibility and Greatest Common Divisor.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

3 
Factorization and Fundamental Theorem of Arithmetic.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

4 
Congruences, Powers, Fermat’s Little Theorem and Euler’s Formula.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

5 
Chinese Remainder Theorem. Prime Numbers, Counting Primes.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

6 
Infinitude of primes


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

7 
Mersenne Primes and Perfect Numbers. Powers, Roots and Codes


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

8 
Primality Tests. Euler’s Phi Function and Sums of Divisors.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

9 
Primitive Roots and Indices. Which Numbers are Sums of Two Squares.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

10 
Continued Fractions, Square Roots and Pell’s Equation.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

11 
Legendre symbol and Gauss' theorem


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

12 
Generating Functions. Sums of Powers.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

13 
Cubic curves


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

14 
Elliptic Curves.


G. H.Hardy, E. M. Wright, "An introduction to the theory of numbers"

15 
Final 1st week



16 
Final 2nd week


