Difference between revisions of "1998 OIM Problems/Problem 6"
Line 6: | Line 6: | ||
Find the remainder of the division of <math>x_{1998}</math> by <math>1998</math>. | Find the remainder of the division of <math>x_{1998}</math> by <math>1998</math>. | ||
− | Note: The brackets indicate an integer part, that is, <math>\left\lfloor x \right\rfloor</math> is the only integer <math>k</math> such that <math>k le x < k+1</math>. | + | Note: The brackets indicate an integer part, that is, <math>\left\lfloor x \right\rfloor</math> is the only integer <math>k</math> such that <math>k \le x < k+1</math>. |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com |
Latest revision as of 14:57, 13 December 2023
Problem
Let be the positive root of the equation . The sequence is defined by:
Find the remainder of the division of by .
Note: The brackets indicate an integer part, that is, is the only integer such that .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.