Is there any other number like 1729?

{1729, 4104, 13832, 20683, 32832, 39312, 40033, 46683, 64232, 65728, 110656, 110808, 134379, 149389, 165464, 171288, 195841, 216027, 216125, 262656, 314496, 320264, 327763.} Here all these numbers can be expressed as a sum of 2 cubes in 2 different ways .

Is 1729 a prime number?

This number is a composite. The largest number which is divisible by its prime sum of digits (19) and reversal (91) happens to be Ramanujan’s famous taxi-cab number (1729 = 123 + 13 = 103 + 93).

What movie is based on Ramanujan?

The Man Who Knew Infinity
The Man Who Knew Infinity is a 2015 British biographical drama film about the Indian mathematician Srinivasa Ramanujan, based on the 1991 book of the same name by Robert Kanigel.

Why is 1729 a special number?

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 kind of number is 1729?

1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan’s number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H….1729 (number)

Why 1729 is a lucky number?

Ramanujan replied that 1729 was not a boring number at all: it was a very interesting one. He explained that it was the smallest number that could be expressed by the sum of two cubes in two different ways. This story is very famous among mathematicians. 1729 is sometimes called the “Hardy-Ramanujan number”.

What is so special about the number’1729′?

1729 is called Ramanujan number. When Hardy visited Ramanujam he came by taxi with that number and said that it was a boring number. Ramanujan explained that it is not a boring but a special number. The two number 1 & 729 are cube of 1 and 9, smallest and greatest one digit counting number.

Is the number 1729 a Chernick or Carmichael number?

1729 is also the third Carmichael number, the first Chernick–Carmichael number (sequence A033502 in the OEIS), and the first absolute Euler pseudoprime. It is also a sphenic number. 1729 is a Zeisel number.

What is so special about the Ramanujan Hardy number 1729?

Undeniably, it is a natural number following 1728 and preceding 1730. It can be a taxicab number. It is variously known both as Ramanujan’s number and the Ramanujan-Hardy number, after an anecdote of British mathematician GH Hardy on his visit to Indian mathematician Srinivasa Ramanujan in a hospital.

Is the number 1729 a dodecagonal or centered cube number?

It is also a sphenic number. 1729 is a Zeisel number. It is a centered cube number, as well as a dodecagonal number, a 24-gonal and 84-gonal number.