Number Theory

26/08/2020

Here is the best RSA Encryption course on the Internet
https://bit.ly/32x1UP9
The RSA Public Key Cryptosystem is one of the best and widely used cryptosystems in the world today. Some people can talk a little about some of what RSA Encryption entails, but very few people can actually encrypt (and decrypt) data from start to finish using the RSA Public Key Cryptosystem.
Highly recommended for mathematics students. Great example of real life application of Number Theory.

23/02/2020

Learn the trick of finding cube roots easily without calculators. This simple maths trick will help you to save time in your examination. Within seconds you will be able to calculate the cube root, you have to just remembers the cubes of the numbers from 1 to 10 and their last digits.

16/02/2020

This problem simply weaves different branches of mathematics. With knowledge of complex numbers and polynomials factorisation at your disposal, you can solve this problem with ease. Watch the full video for the elegant solution, where we have to prove that a given number is never a prime.
Solution:

This problem simply weaves different branches of mathematics. With knowledge of complex numbers and polynomials factorisation at you disposal, you can solve ...

15/02/2020

Subscribe to our YouTube channel for interesting math videos

Hi there! Preparing for board exams or entrance exams? Subscribe to this channel for interesting and somewhat different maths problems covering core area of ...

11/02/2020

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Hi there! Preparing for board exams or entrance exams? Subscribe to this channel for interesting and somewhat different maths problems covering core area of ...

23/01/2016

Is there a power of 2 such that there is another power of 2 with the same number of digits as the first power of 2?

09/01/2016

Show that there is no integer a such that a^2 − 3a − 19 is divisible by 289.
Hint: a^2 − 3a − 19 = (a − 10)(a + 7) + 51 and 17 divides 51 also 17^2 = 289!!!

28/12/2015

Show that 19^93 - 13^99 is a positive integer divisible by 162.

24/11/2015

Show that n^5+ n^4 +1 is not a prime for n greater than 1.

18/09/2015

Prove that there are infinitely many positive integers n such that n(n+1) can be expressed as a sum of two positive squares in at least two different ways.

15/08/2015

What is the smallest positive integer n for which 50!/24^n is not an integer?
Hint Highest power of p dividing m! is floor[m/p]+floor[m/p^2]+floor[m/p^3]+......... where p is a prime.
Ans: 16

20/07/2015

Consider the equation x^2 + y^2 = 2007. How many solutions (x, y)exist such that x and y are positive integers?
Solution: http://mathsvinu.blogspot.com/2015/07/indian-statistical-institute-isi-bmath_20.html