# Sum of Consecutive Numbers

We can write the numbers between 1000 and 3000 as the sum of 2, 3, 4, 5, etc, consecutive numbers:

$$198+199+200+201+202=1000$$

$$500+501=1001$$

$$249+250+251+252=1002$$

...

$$748+749+750+751=2998$$

$$1499+1500=2999$$

$$598+599+600+601+602=3000$$

But have 2 numbers between 1000 and 3000 that we cannot write as the sum of 2 or more consecutive numbers. Find their sum.

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