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Sunday, 10 December 2017

Mathematics Day

To celebrate the birthday of the famous mathematician Shrinivas Ramanujam or Mathematics Day (22nd December), I would like to share some interesting stuff,

First of all this year, Ramanujam's birth date is more special because 22-12-2017 is a prime number! And it would have been his 130th birthday.


What is shown here is a Magic square. It is an n×n array whose row, column and the diagonal numbers add up to the same number.

The magic square shown above was made by Ramanujam. Its very first row contains his Birth Date. So its also known as Ramanujam's magic square.

If you add the numbers along the row, column or along the diagonal they will add up to 139 (a prime number).




As the year 2017 is coming to an end here are some interesting facts related to prime numbers -

1. 2017 is a prime number!

2. The largest even prime number is 2.

3. Numbers obtained using
    Mn = (2^n) - 1 where n is an integer are called Mersenne primes. Its only true for some integers. And the first four Mersenne primes are- 3, 7, 31, 127...

4. Fm = (2^(2)^m) + 1 are called Fermat prime numbers. And again its true only for some integers. The first four Fermat primes are- 3, 5, 17, 257...

5. According to the fundamental theorem of arithmetic,

Every integer greater than 1 is either a prime number or can be written as a unique product of prime numbers.

Since 2018 is a composite number its prime factors are- 2×1009

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