**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 number**because 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 numbers**for 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 !