# more puzzles ### Help Support Steer Planet: #### knabe

##### Well-known member
Math Corner. Last month’s Math Corner asked you to find something to say about the number 2008.

Here’s what I got.
2008 is the prime number 251 multiplied by the sum its      own digits. 251 × (2  5  1)
2008 is the sum of the 9th, 14th, and 17th Fibonacci      Numbers (34  377  1597)
(From Jim Pemberton)  2008 = 10 310 323;      and 251 is the smallest number that can be written as the sum of 3 cubes      in 2 ways (1 35353and 2 33363),      and 8 itself is of course the smallest nontrivial cube … so 2008 is      the smallest number that is nontrivially the sum of three cubes, multiplied      by a cube.
2008 can be written as the sum of 16 consecutive      positive integers: 118  119  120  …        132  133
2008 = 2 (3  23) − (2  3) × 2 3
Finally, from Noel Pixley, I got this: “Take the value      of the number 2008 as expressed in base 2, 5, 7, and 8 and add them      together. You get …2008!” Do you, though? When I tried it, I got      11,111,011,000  31,013  5,566  3,730 = 11,111,051,309.      How late at night was it, Noel?

#### AAOK

##### Well-known member
WOW!! That's Far Out, Man.................. :-\

#### DL

##### Well-known member
knabe said:
Math Corner. Last month’s Math Corner asked you to find something to say about the number 2008.

Good grief! No wonder I don't like math!! I would have said that 2008 is the year after 2007 and the year before 2009! : : #### BCCC

##### Well-known member
wow now my head hurts ;D

#### shorthorns r us

##### Well-known member
knabe said:
(From Jim Pemberton)   2008 = 10 310 323;      and 251 is the smallest number that can be written as the sum of 3 cubes      in 2 ways (1 35353and 2 33363),      and 8 itself is of course the smallest nontrivial cube … so 2008 is      the smallest number that is nontrivially the sum of three cubes, multiplied      by a cube. )) I don't uderstand this one? ? ?

knabe said:
Finally, from Noel Pixley, I got this: “Take the value      of the number 2008 as expressed in base 2, 5, 7, and 8 and add them      together. You get …2008!” Do you, though? When I tried it, I got      11,111,011,000   31,013   5,566   3,730 = 11,111,051,309.      How late at night was it, Noel?

unless you and i both made the same mistake working out the base conversions,  this guy's 2+2 /=4 or there is something missing.

#### knabe

##### Well-known member
hmm base conversions.  i got lost at 3.  next time i'll only paste the one's i can do.