All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Quite a Smithonian! (Posted on 2010-08-21)
A Smith number is a composite number for which, the sum of its digits is equal to the sum of the digits in its prime factorization.
By definition, the factors are treated as digits.
For example, 22 =2*11 is a Smith numberbecause 2 + 2 = 2 + 1 + 1.
Another example: 666 = 2*3*3*37 and 6+6+6 = 2+3+3+(3+7 ).

The following table provides the least number of the 1st occurrence of K consecutive Smith numbersfor K=1, 2, 3, …

Please extend it as far as you are able to.

K ......First member of the least K-tuplet
1 ......4
2 ......728
3 ......73615**
4 .......FIND OUT
5 .......FIND OUT
6 +++ How far can you reach?

**Rem: The third number is 73615, since (73615, 73616, 73617) is the first example of 3 consecutive Smith numbers.
G o o d L u c k !

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: now i c Comment 8 of 8 |

It looks ok in IE8. What browser does not view it correctly?
 Posted by Charlie on 2010-08-24 10:44:03

 Search: Search body:
Forums (0)