前苏联画家别列斯基有一幅画，名叫“智力题”。画中有位戴眼镜的老师，他在黑板上写了这样一道算式：１０２＋１１２＋１２２＋１３２＋１４２３６５＝？美国的科普大师加德纳对画中这道“智力题”产生了浓厚的兴趣，他想，这个式中连续自然数的平方，可以分成相等的两段，即 Former Soviet painter Didierski has a painting entitled “Intellectual Question.” There was a teacher wearing glasses in the painting. He wrote a formula like this on the blackboard: 102 + 112 + 122 + 132 + 142365 =? Gardiner, a popular science populace in the United States, has a keen interest in this “intellectual problem” in his painting. He thinks that the square of consecutive natural numbers in this formula can be divided into two equal segments, that is,