Olen, I’m just gonna guess that it’s the sum of 1 cubed and 1cubed, which would be 2, figuring, that the two sets of 1 are different sets.
Well, zero of course:
X^3+(-X)^3 = Y^3+(-Y)^3 = 0
But I suspect this isn’t the answer you had in mind. Nor, probably is:
1^3+1^3+1^3+1^3+1^3+1^3+1^3+1^3 = 2^3 = 8.
Am I right in assuming that you mean all the numbers being cubed are positive whole integers and that each integer appears only once?
Hmmm. I’ll have to get a pencil…
Oops! You SAID they were all positive integers. Sorry. Never mind.
PB
Texas, 1960, 2nd grade - yes, we took it to the twelves and did it, as I’m sure many did tho’ I’ve missed any mention of 'em, w/good old Flash Cards!
Frankly, I’m glad I went through that, although I’m sure I wasn’t at the time.
ooooo… a math puzzle
olentzero, are you thinking of “Ramanujan’s number”, the number 1729? It’s the smallest number that can be written as the sum of two cubes in two different ways:
1729 = 1^3 + 12^3
1729 = 9^3 + 10^3
or were you thinking of something else entirely?
I had to memorize up to 12 x 12 in CA, US back in about 1938, but I have to say that
12 x 12 is really gross. . .so to speak.
Ray
You see people, this is why blocks and legos and puzzles are important for little kids. They ingrain the concept of whole positive integers, spacial and geometric relationships, etc. If you think of the 12x12 table (which is the one I had to learn, by the way) in your PeeChee folder as a wall of blocks, it becomes easy to visualize the products. Arithemetic is all about spatial relationships, and kids who are comfortable with these tools won’t have problems with the numbers.
Incidentally, studies show that early music lessons help, also…
And the prize goes to lynne! Nice work, fellow Doper. I’ll spare you all the 1729 rant I’ve worked up, but suffice it to say it’s popped up in some odd places.
Cave Diem! Carpe Canem!