Welcome, Again, to the Nostradamus Server!

I am impressed! Your guess that my number begins with 683049344 was exactly right!
What do you guess are the next two digits of my number?
68304934400
68304934401
68304934402
68304934403
68304934404
68304934405
68304934406
68304934407
68304934408
68304934409
68304934410
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68304934441
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68304934460
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