- #1
d4rkwarrior
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Homework Statement
Does there exist an integer n, such that 1+2+3+...+n, ends with the last two digits 13?
Homework Equations
1+2+3+...+n = n(n+1)/2
The Attempt at a Solution
I reached a conclusion that 1+2+3+...+n [itex]\equiv 13 (mod 100)[/itex]. Also the sum has to be greater than 100, but from here I am stuck. What do I do?