17. There are 15 students, numbered from 1 to 15. Student 1 wrote a five-digit natural number. Student 2 said: “This number is divisible by 2.” Student 3 said: “This number is divisible by 3.”... and so on, each student said the number is divisible by their number. In fact, only two students with adjacent numbers were incorrect. What is the five-digit number written by Student 1? $\qquad$
Answer: 60060