Why Is The Number 1729 Special?

Why 1729 is a magic number?

It is 1729.

Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers.

Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729..

Who is the father of mathematics?

mathematician ArchimedesGreek mathematician Archimedes is widely considered by many to be the “father of mathematics.” He is regarded as one of the leading scientists in classical antiquity and is credited with designing numerous innovative machines, including the screw pump and siege engines.

Who invented the 0?

Brahmagupta”Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628,” said Gobets. He developed a symbol for zero: a dot underneath numbers.

Who is the No 1 mathematician of the world?

Isaac Newton is a hard act to follow, but if anyone can pull it off, it’s Carl Gauss. If Newton is considered the greatest scientist of all time, Gauss could easily be called the greatest mathematician ever.

Is 28 a perfect number?

Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

Can you work out the sum of cubes in two different ways which equals 1729?

He said it is the smallest number that can be expressed as a sum of two cubes in two different ways: 1729 = 1728 + 1 = 123 + 13 1729 = 1000 + 729 = 103 + 93 1729 has since been known as the Hardy – Ramanujan Number, even though this feature of 1729 was known more than 300 years before Ramanujan.

What is a magic number in C?

A magic number is that number whose sum of its digits is when multiplied by the reverse of the sum of its digits gives back the same number. E.g 1729.

Who is the mother of math?

1. HYPATIA. Hypatia (c. 355–415) was the first woman known to have taught mathematics.

Who started math?

SumeriansThe earliest evidence of written mathematics dates back to the ancient Sumerians, who built the earliest civilization in Mesopotamia. They developed a complex system of metrology from 3000 BC.

What is the special number in math?

VERY SPECIAL NUMBERS OR VSN’S. The classification of numbers into natural numbers, negative numbers, rational numbers, irrational numbers, complex numbers and transcendental numbers is common knowledge for students and lovers of mathematics.

Why is 1728 a special number?

In mathematics It is the number of cubic inches in a cubic foot. 1728 occurs in the algebraic formula for the j-invariant of an elliptic curve. As a consequence, it is sometimes called a Zagier as a pun on the Gross–Zagier theorem. The number 1728 is one less than the Hardy–Ramanujan number 1729.

Is 1729 a perfect cube?

1729 = 13 + 123 = 93 + 10. The quotation is sometimes expressed using the term “positive cubes”, since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729): 91 = 63 + (−5)3 = 43 + 3….1729 (number)← 1728 1729 1730 →Hexadecimal6C11611 more rows

What is greatest and smallest number?

We know that a four digit number has four places, i.e., thousands, hundreds, tens and ones or units from left to right as Th, H, T, O. If greatest to lowest digits are placed at these places in descending order, we get the greatest number and if placed in ascending order, we get the smallest number.

Why is 28 the perfect number?

The number 28 is a perfect number because its proper divisors sum up to give 28, and that is the definition of a perfect number.

What is the prime factorization of 1729?

prime factorization calculator of 1729 Positive Integer factors of 1729 = 7, 13, 91, 19, 1729 divided by 7, 13, 19, gives no remainder. They are integers and prime numbers of 1729, they are also called composite number.

What is special about the number 1729?

1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. … 1729 is also the sum of the cubes of 12 and 1- cube of 12 is 1728 and cube of 1 is 1; adding the two results in 1729.

What’s the lowest number in the world?

With that in mind, let’s get back to our question: What is the smallest non-zero number? If we only have three digits to spare, the smallest possible number is 0.01. With four digits, it’s 0.001.

What is the current highest number?

Current record The record is currently held by 282,589,933 − 1 with 24,862,048 digits, found by GIMPS in December 2018. Its value is: 148894445742041325547806458472397916603026273992795324185271289425213239361064475310309971132180337174752834401423587560 … The first and last 120 digits are shown above.

What is the last number on earth?

A googol is the large number 10100.