Question

The smallest Hardy-Ramanuja number is​

Answer 1

Answer:

1729

Step-by-step explanation

1729 is the smallest Hardy– Ramanujan Number. There are an infinitely many such numbers. Few are 4104 (2, 16; 9, 15), 13832 (18, 20; 2, 24), Check it with the numbers given in the brackets Cube Number Numbers obtained when a number is multiplied by itself three times are known as cube numbers

Answer 2

1729.This story: he was in hospital in Putney, England. In walked G.H. Hardy, his mentor and a fine mathematician in his own right. He told Ramanujan that he had come in a cab whose number, 1729, “seemed to me rather a dull one." (I get the feeling Hardy and Ramanujan rather liked playing around with numbers.)The sick Ramanujan disagreed. “Oh no, not at all!" he said. “It is the smallest number that can be written as the sum of two cubes in two different ways!"

Of course he was right. Here are the two ways:

1³ + 12³ = 1 + 1,728 = 1,729

9³ + 10³ = 729 + 1,000 = 1,729

And 1,729 is indeed the smallest such number. And because of this incident, it is now known as the Ramanujan-Hardy number.

What touches me about this story is though Ramanujan was seriously ill that day, he was sharp enough to remember, and tell Hardy, this little nugget about a random number Hardy mentioned. And so, to mark his 125th birthday, I thought it only fitting to search for some nugget like that about 125. (Seeing as I’ve got other plans for his 1,729th birthday.)

PlZ mark my answer as brainliest