It is known that the sum of two different unit fractions is (1/2004), and the denominators of these two unit fractions are both four-digit numbers, then what is the minimum value of the difference between the denominators of these two unit fractions.
已知两个不同的单位分数之和是(1/2004)，且这两个单位分数的分母都是四位数，那么这两个单位分数的分母的差的最小值是多少．
<gadget id="calculator">4_676 - 3_507</gadget>
<output>1_169</output>

<result>1_169</result>