The course mainly follows content of following courses:
http://www.math.ucsd.edu/~asalehig/NumThe08.html [Major]
while some some contents is to be followed from :
https://math.berkeley.edu/~ribet/115/ [Alternative]
Course Content
 divisibility theorems, division algorithm, gcd and theorems, Euclidean algorithm, lcm and theorems, infinite descent method and least integer principle, primes, fundamental theorem of arithmetic/ unique factorization theorem, perfect square, square free, prime number theorem, binomial coefficient and theorems.
Pg41 [Q5]
 congruences and its theorems; residue class; complete residue class; reduced residue class; Euler’s totient function; Fermat’s theorem; Wilson’s theorem; Fermat’s theorem; solutions of congruences; Chinese remainder theorem[upto 34]
Books

An Introduction to the Theory of Numbers 5th Edition by
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