1 + 2 + 3 + 4 +.........+ 2010 ==[2010 x 2011] / 2==2,021,055 mod 2010==1,005 - the remainder
+483 Alternative solution:
Pair the numbers up as follows
| 1 | 2010 |
| 2 | 2009 |
| 3 | 2008 |
| 4 | 2007 |
| 5 | 2006 |
| ... | |
| 1004 | 1007 |
| 1005 | 1006 |
We can see that there are 2010/2=1005 rows, and the sum of each row is 2011, which is equal to 1 modulo 2010, thus the answer is
1005*1 = 1005
Hope this helped :)
