Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest Rank when Attempts was 319, and the Year was larger than 2000?

### Inputs:
table_name: table, columns: ['Rank', 'Name', 'Attempts', 'Net Yds', 'Yds/Att', 'Year']

### Response:
SELECT MIN Rank FROM table WHERE Attempts = 319 AND Year > 2000