many numbers do... 617+2 does
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Any one of the infinite set of numbers of the form 619*k where k is an integer.
3332, 3333 and 3334 add up to 9999 - there are no three consecutive numbers that add up to 10,000.
103
No three odd numbers can add up to an even number.
There are no two prime numbers that add up to be 152.