In story#3 we are moving from ‘The Simpsons’ to its sister show ‘Futurama’ and their love for the number ‘#1729’.
From the starship’s registry number to a number of universe, 1729 appears in many episodes of Futurama.
#Some_titbits_about_1729:
1) 1729 is a Harshad number, a category of numbers discovered by the Indian Mathematician D.R. Kaprekar.
1 + 7 + 2 + 9 = 19, and 19 divides 1729. Also, 19 ✕ 91 = 1729 - a special type of Harshad’s number you see!
2) If we see the 1729th decimal place of ‘e’, then we see that it marks the start of the first consecutive occurrence of all ten digits in this famous irrational number.
3) 1729 is also the third Carmichael number, the first Chernick–Carmichael number, and the first absolute Euler pseudoprime. It is also a sphenic number.
#So_what’s_so_special_about_1729?
1729 has earned a special status due to one simple but elegant conversation between 2 greatest mathematicians of the 20th century Godfrey Harold Hardy, an English Mathematician and Srinivasa Ramanujan, arguably the greatest mathematical mind of the 20th century.
As per #Hardy,
“I remember once going to see him [Ramanujan] when he was lying ill at Putney, London. I had ridden in taxi-cab No. 1729, and remarked that the number seemed to be rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two [positive] cubes in two different ways”, i.e.,
1729 = 1^3 + 12^3 = 9^3 + 10^3
Thus, 1729 came to be known as the #Ramanujan-Hardy number or in mathematical circles- the #taxicab_number.
#Fun_fact:
In one of the episodes, a taxicab’s number is 87,539,319. It is done because 87,539,319 is the smallest number that is the sum of cubes in three different ways, i.e.,
87,539,319 = 167^3 + 436^3 = 228^3 + 423^3 = 255^3 + 414^3
A fitting number for a taxicab isn’t it?
The writers of Futurama by referencing 1729 and 87,539,319, pay a fitting tribute to the greatest mathematical mind of 20th century #Srinivasa_Ramanujan.
<More fun facts in the comments section>
Sources:
<1> The Simpsons and their mathematical secrets written by Simon Singh.
<2> The Man Who Knew Infinity: A Life of the Genius Ramanujan - a biography on Srinivasa Ramanujan, written in 1991 by Robert Kanigel.
<3> Google images.
#thesimpsons #futrurama #taxicab #1729 #ramanujan #hardy #mathstories #story3
From the starship’s registry number to a number of universe, 1729 appears in many episodes of Futurama.
#Some_titbits_about_1729:
1) 1729 is a Harshad number, a category of numbers discovered by the Indian Mathematician D.R. Kaprekar.
1 + 7 + 2 + 9 = 19, and 19 divides 1729. Also, 19 ✕ 91 = 1729 - a special type of Harshad’s number you see!
2) If we see the 1729th decimal place of ‘e’, then we see that it marks the start of the first consecutive occurrence of all ten digits in this famous irrational number.
3) 1729 is also the third Carmichael number, the first Chernick–Carmichael number, and the first absolute Euler pseudoprime. It is also a sphenic number.
#So_what’s_so_special_about_1729?
1729 has earned a special status due to one simple but elegant conversation between 2 greatest mathematicians of the 20th century Godfrey Harold Hardy, an English Mathematician and Srinivasa Ramanujan, arguably the greatest mathematical mind of the 20th century.
As per #Hardy,
“I remember once going to see him [Ramanujan] when he was lying ill at Putney, London. I had ridden in taxi-cab No. 1729, and remarked that the number seemed to be rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two [positive] cubes in two different ways”, i.e.,
1729 = 1^3 + 12^3 = 9^3 + 10^3
Thus, 1729 came to be known as the #Ramanujan-Hardy number or in mathematical circles- the #taxicab_number.
#Fun_fact:
In one of the episodes, a taxicab’s number is 87,539,319. It is done because 87,539,319 is the smallest number that is the sum of cubes in three different ways, i.e.,
87,539,319 = 167^3 + 436^3 = 228^3 + 423^3 = 255^3 + 414^3
A fitting number for a taxicab isn’t it?
The writers of Futurama by referencing 1729 and 87,539,319, pay a fitting tribute to the greatest mathematical mind of 20th century #Srinivasa_Ramanujan.
<More fun facts in the comments section>
Sources:
<1> The Simpsons and their mathematical secrets written by Simon Singh.
<2> The Man Who Knew Infinity: A Life of the Genius Ramanujan - a biography on Srinivasa Ramanujan, written in 1991 by Robert Kanigel.
<3> Google images.
#thesimpsons #futrurama #taxicab #1729 #ramanujan #hardy #mathstories #story3
