(1) Yang Hui Triangle is a numerical table of triangles arranged by numbers, and its general form is as follows:

1 n=0

1 1 n= 1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1n = 5

1 6 15 20 15 6 1n = 6

…

The number in each row of this series is the coefficient of each term after binomial a+b multiplication, such as:

(a+b) 1=a 1+b 1

(a+b)2=a2+2ab+b2，

(a+b)3=a3+3a2b+3b2a+b3，

…

So you can get a = 6.

(2) The smallest integer greater than 2000 is 2003.

So the answer is 62003.