As we near the end of the 2nd decade of the 21st century, here's a short blog post a week after the birthday of an eminent personality whom I admire the most - Mathematician Srinivasa Ramanujan
Dec 22nd 2019 marked the 132nd birth anniversary of the Mathematical genius and needless to say it is all about numbers when we talk about Ramanujan!
Let's look at few patterns
a) 1887 + 2019 is 3906 which is the product of two consecutive numbers 62 * 63 and in turn their sum (62+63) is a perfect cube (125)
b) 2019 - 1887 is 132 which is the product of two consecutive numbers again! 12 * 11
c) Now add the digits of 1887 and 2019 in pairs - 18 + 87 + 20 + 19 which gives us 144 and a perfect square
d) Now add the individual digits - 1 + 8 + 8 + 7 + 2 + 0 + 1 + 9 which gives us 36 and a perfect square again (36 is one fourth of 144)
Now for the Final Home run which is completely out of the Blue!
Extract the 1st and last digits of both 1887 and 2019 - 17 and 29. 17 and 29 together form 1729 which is the famous Ramanujan Number! Isn't it awesome that 2019, which turns out to be the last year of this decade along with the birth year of Ramanujan produces the magic number that he came up with
That's the sheer beauty of Ramanujan and Numbers - Cannot separate both!
It does not stop there.. Hold on! The remaining two digits are 88 and 01 after extracting the other two and the resulting number is 8801. So what? It is yet another 4 digit number - Yes but like 1729 it is also a multiple of 13! 1729 is 13 and 133 while 8801 is 13 * 677 (Notice two 3s and two 7s within the factors which is unique again!)
Dec 22nd 2019 marked the 132nd birth anniversary of the Mathematical genius and needless to say it is all about numbers when we talk about Ramanujan!
Let's look at few patterns
a) 1887 + 2019 is 3906 which is the product of two consecutive numbers 62 * 63 and in turn their sum (62+63) is a perfect cube (125)
b) 2019 - 1887 is 132 which is the product of two consecutive numbers again! 12 * 11
c) Now add the digits of 1887 and 2019 in pairs - 18 + 87 + 20 + 19 which gives us 144 and a perfect square
d) Now add the individual digits - 1 + 8 + 8 + 7 + 2 + 0 + 1 + 9 which gives us 36 and a perfect square again (36 is one fourth of 144)
Now for the Final Home run which is completely out of the Blue!
Extract the 1st and last digits of both 1887 and 2019 - 17 and 29. 17 and 29 together form 1729 which is the famous Ramanujan Number! Isn't it awesome that 2019, which turns out to be the last year of this decade along with the birth year of Ramanujan produces the magic number that he came up with
That's the sheer beauty of Ramanujan and Numbers - Cannot separate both!
It does not stop there.. Hold on! The remaining two digits are 88 and 01 after extracting the other two and the resulting number is 8801. So what? It is yet another 4 digit number - Yes but like 1729 it is also a multiple of 13! 1729 is 13 and 133 while 8801 is 13 * 677 (Notice two 3s and two 7s within the factors which is unique again!)
