MATHEMATICAL WONDER
“2520” was the unique number that Srinivasa Ramanujan 1887 – 1920, a renowed Indian mathematician found. This number can be divided by all of the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. It can be said that no one had ever found another number that could be divided by all of these digits before Ramanujan. of the basics of mathematics is knowing whether a number is odd or even, divisible by 2 and by the sum of its numbers .. But look at this strange number 2520!
The number 2520 looks like any other number, but it is not like that. It is a strange number and is rarely found among numbers. It has puzzled mathematics geniuses to this day .. !!
The strange thing about it is that it is divisible by numbers from 1 to 10, whether these numbers are odd or even !!
It is known that it is difficult or even impossible to find a number that has this characteristic.
And when we say the division is accepted, we mean that it occurs without any remaining fractions after the division process … !!
- Follow the practical application:
2520 ÷ 1 = 2520
2520 ÷ 2 = 1260
2520 ÷ 3 = 840
2520 ÷ 4 = 630
2520 ÷ 5 = 504
2520 ÷ 6 = 420
2520 ÷ 7 = 360
2520 ÷ 8 = 315
2520 ÷ 9 = 280
2520 ÷ 10 = 252
And after mathematicians were confused about finding a convincing mathematical relationship that would make one number divisible in this strange way, they also discovered that this number is the product of the numbers: 《7 x 30 x 12》 that may appear at first glance to be random numbers, but it is not !!
So the surprise that made them more confused than their first was that this number is a product of 7 days of the week x 30 days of the month x 12 months of the year (7 x 30 x12). May your daily, weekly monthly and yearly plans be as perfect as the number 2520, and bring you happiness and a sense of fulfilment.
I have found couple of more properties of this number 2520.
1) SUM OF THE SQUARES OF THE FOUR CONSECUTIVE EVEN NUMBERS (22, 24, 26, 28) = 2520
2520 = (22^2+24^2)+(26^2+28^2) where 22+24+26+28 = 100 = 10^2
2) Also Its equal to
2 x (Sum of the first 25 Prime numbers (under 100)) + 4 x (Sum of the first 9 Prime numbers (under 25))
= 2 x 1060+ 4 x 100 = 2520
see how 25 Prime Numbers under 100 and 9 Prime Numbers under 25 giving sum to 100 all connected.
3) The sum of the powers (2,4,5,7) of 3
2520 = 3^2+3^4+3^5+3^7
Use these powers to get 2520 again.
Concatenate 2, 4, 5 and 7
2457 +63 = 2520
2457+((4+5)*7) =
Srinivasa Ramanujan – The Man who knew Infinity.
- By the age of 13, he had completed adavanced trigonometry and discovered complex theorems on his own.
- He never had any friends in School because his peers rarely understood him at school & were always in awe of his mathematical acumen.
- When you were 17, you would probably be wondering about crushes and college applications. But at 17, Ramanujan had developed Bernoulli numbers and calculated Euler’s constant up to 15 decimal places.
- He used to complete his mathematics exam in just half of the allotted time.
- As a young man, he failed to get a degree , as he did not clear his fine art courses , although he performed exceptionally well in mathematics.
- He got married to a 10-year-old child bride Janaki, on July 14, 1909.
- Because paper was expensive , poor Ramanujan often used to derive his results on slates to jot down results of his derivations.
- In England when Ramanujan was ill, G H Hardy went to see him at Putney. Hardy took a taxicab with the number 1729. On arriving Hardy said to Ramanujan that the number was rather a dull one. To this, Ramanujan said that it was an interesting number and that it was the smallest number that can be expressed as a sum of two cubes in two different ways.
1729 = 1^3 + 12^3
1729 = 9^3 + 10^3
( His house in Kumbakonam, Tamil Nadu )
- During his short lifespan, Ramanujan was plagued by some disease or the other. Right after getting married, he developed a condition known as Hydrocele testies.
- He was a staunchly religious person with very pleasant manners. In Cambridge, he once said to Hardy, “An equation for me has no meaning unless it expresses a thought of God”.
- Birthday of Ramanujan (December 22) is celebrated as “State IT Day” in Tamil Nadu. In 2011, the Indian Government declared his birthday as National Mathematics Day.
- On 22 Dec 2012 , 2012 was declared as National Mathematics Year in India by former Prime Minister, Manmohan Singh.
- In his last year of life, Ramanujan compiled some 600 mathematical formulae and listed them without any proof.
- On 13 October 1918, he became the first Indian to be elected as a Fellow of Trinity College, Cambridge.
- The cultural difference eventually took a toll on his health. He was diagnosed with severe vitamin deficiency and TB. He then returned to India in 1919 and died the following year, at the young age of 32.
By Hungarian Mathematician PAUL ERDŐS:
Suppose that we rate mathematicians on the basis of pure talent on a scale from 0 to 100. Hardy gave himself a score of 25, Littlewood 30, Hilbert 80 and Ramanujan 100.
