The number 119 has the following properties: when it is divided by 2, the remainder 1; by 3, the remainder 2; by 4, the remainder 3; by 5, the remainder 4; by 6, the remainder 5; 119) How many are there?
数119具有以下性质：当它被2除余1；被3除余2；被4除余3；被5除余4；被6除余5；那么，具有这样性质的三位数(包括数119在内)共有多少个．
<gadget id="calculator">16 - 2</gadget>
<output>14</output>

<gadget id="calculator">14 + 1</gadget>
<output>15</output>

<result>15</result>