Group all odd numbers l, 3, 5, 7, 7, 9, ... as follows: {1), {3, 5}, {7, 9, 11}, {13, 15, 17, 19}, {21, 23, 25, 27, 29}, ..., then what is the smallest number in group 2006.
将所有奇数l，3，5，7，7，9，…如下分组：{1)，{3，5}，{7，9，11}，{13，15，17，19}，{21，23，25，27，29}，…，那么第2006组中的最小数是多少．
<gadget id="calculator">1 + 2_005</gadget>
<output>2_006</output>

<gadget id="calculator">2_005 / 2</gadget>
<output>2_005/2 = around 1_002.5</output>

<gadget id="calculator">2 * 2_006 * (2_005/2)</gadget>
<output>4_022_030</output>

<gadget id="calculator">4_022_030 + 1</gadget>
<output>4_022_031</output>

<result>4_022_031</result>