Question

what is the importance of ramanujam number 1729

Answer 1

Ramanujan Number is the smallest number that can be expressed as the sum of cubes of two different positive integers, in two different ways.

1729 = 7 * 13 * 19 = 1³ + 12³ = 9³ + 10³ = 19 * 91

There are many other properties attached to the Ramanujan number.

Actually, when Ramanujan was in a hospital, Hardy visited him and mentioned the number of th e cab he arrived by. That was 1729. Then Ramanujan gave its property on the spot.

Answer 2

1729 is a dull no as it can be expressed as sum of cubes-
1729=1728+1=12 to the power 3+ 1cube
1729=1000+729= 10 cube+9 cube