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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