Solution

Multiple Surprises Evan

First name
Evan
School
Bishop of Llandaff Church in Wales High School, Cardiff
School's Twitter handle
@BOLHS_Maths
Age
16

The set of 10 consecutive numbers after 2520 have the required property.

For example:

2521 is a multiple of 1

2522 is a multiple of 2

...

2530 is a multiple of 10

 

Attached below is an explanation of how I found a general solution to find all sequences of n consecutive numbers where the 'u'th term is a multiple of u.