 |
1331 (another Prime Pages' Curiosity) |
|
|
|
Curios:
Curios Search:
Participate: 
|
A prime number cubed (11) that is a cube in every base (in
base 4, 1331=64+48+12+1 in base 10=125=5 cubed, in base 5,
1331=125+75+15+1=216=6 cubed, in base 6 it is 7 cubed, in
base 7 it is 8 cubed, etc. This is because it is row 3 of
Pascal's triangle (in which every row is a power of 11) and
therefore in every base that holds it. It's value in that
base showed in base ten is equivilent to the original base
number plus 1 cubed. In a formula, 1331(base b)=(b+1)^3. [DeMio and
Hudgins]
To link to this page use http://primes.utm.edu/curios/page.php?number_id=8918
Prime Curios! © 1999-2013 (all rights
reserved)
|