Blog Post #122: Tribute to the Maths Genius Srinivasa Ramanujan on his 133rd birth anniversary

As we near the end of an unprecedented year, here's a short blog post on the occasion of the birthday of an eminent personality whom I admire and revere the most - Mathematician Srinivasa Ramanujan

Dec 22nd 2020 marks the 133rd birth anniversary of the Mathematical genius and needless to say this day won't be complete without looking at some incredible number patterns

Let's look at few of them

a) 1887 + 2020 is 3907 which is a Prime number

b) 2020 - 1887 is 133 which is the product of two prime numbers - 19 and 7!

c) Add the digits of today's date in pairs - 22 + 12 + 20 + 20 and the resultant number is 74. Reverse of 74 is 47 and when you add both we get 121 which is a perfect square and a palindrome!

d) Now add the individual digits of the date - 2 + 2 + 1 + 2 + 2 + 0 + 2 + 0 which gives us 11 - square root of 121 in the previous step!

e)  Extract the 1st and last digits of both 1887 and 2020 - 17 and 20. Sum of these two numbers is 37 and difference is 3. Now multiply 17 with 37 and 3 - the resultant is 1887!!

f)  It does not stop there.. Hold on! 

133rd birth anniversary is special as well in many sense

- 133 is a product of two primary numbers as we saw earlier

- 133 is also a sum of two cubes - 125 and 8 (5 ^ 3 + 2 ^ 3)

- 133 is difference of two perfect squares - 169 and 36 (13 ^ 2 - 6 ^ 2)

I am sure we can go on and on as there are infinite possibilities when we start talking about the Mathematical genius and humble tribute to "The Man who knew Infinity"!

Blog Post #121 - 12/12/2020

 Time flies and we are already in December in an year which has been unprecedented in nature and we continue to look for positives before we step into 2021

12/12/2020 is a bit unique many ways and today's blog post is around some of the patterns that we see around this date which also coincides with the Computer Science Education Week (Dec 7th to 13th)

1. 12 + 12 + 20 + 20 is a perfect square (64) which is a core number in computer/digital world and it is a sheer coincidence with Computer Science Education Week 

2.   12 * 12 gives 144 and 20 * 20 is 400. Difference of the two is again a perfect square (256) and square of 256 is 65536 which again is a most familiar number in Computer world

3. The best is always reserved for the last

Sum of the digits - 1+2+1+2+2+0+2+0 = 10

Sum of the squares of the digits - 1 + 4 + 1 + 4 + 4 + 0 + 4 + 0 = 18

Sum of the cubes of the digits - 1 + 8 + 1 + 8 + 8 + 0 + 8 + 0 = 34

Sum of the fourth power of the digits - 1 + 16 + 1 + 16 + 16 + 0 + 16 + 0 = 66

Notice the sequence - 10, 18, 34, 66

The difference between successive numbers is 2 ^ 3, 2 ^ 4, 2 ^ 5 and you could guess what would be the next number in the series without doing any further complex maths!

Maths is fun and 12/12/2020 is just another reason why we can feel more optimistic as we move towards 2021