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第二十二章 数学问题(2 / 2)

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“少逞口舌之利,你就说能不能算的上来吧!”梅丽莎不服气道。

“麻烦是麻烦点……”赵乾坤呵呵笑道,“但归根结底,就是个数学问题!”

说着,他写完了长长的数列:“2、3、5、7……”

“这些数呢,都是质数,也就是只能被自己和一整除的数,我想你们的隐者老师肯定教过你们!”赵乾坤笑着看向梅丽莎:“你刚才说,你师兄知道两数之积,却不能确定两数,那就说明,这个两数之积,不可能是两个质数之积,否则你那位宋师兄肯定第一时间就确定了!”

梅丽莎眯了眯眼睛:“那又怎么样?”

“所以呢,你知道的两数之和,也不可能是两个质数之和!”赵乾坤笑道:“所以,这些数任意相加的和,都被排除掉了!至于剩下的嘛,只要将那些数分别拆开,然后乘积就行了,只有一组积和对应的,就是你们所得到的数,反推,就能确定隐者给你们的数了!”

“哼!”梅丽莎冷笑一声:“难道你打算在这里一组组的试验吗?那我恐怕,这块土地都不够你演算的!”

“你说得对!”赵乾坤笑道:“这是最笨的方法……我们可以换一个思路,缩小一下范围……首先,你得到的两数之和,肯定不会大于54!”

“哦?”梅丽莎眉毛一动:“为什么?”

“因为任何大于54的数,都可能拆成53加一个大于等于2的数!”赵乾坤笑道:“如果是这样,你聪明绝顶的宋师兄,得到的两数之积,就可能是53的倍数,那样一来,他立刻就会确定,那两个数之中,必然有一个53!因为53是大于99一半的最小质数,在你师父给的范围内,没有53的其他倍数!”

“这样一来,你就不敢断言,你的师兄一定不知道这两个数是什么!”赵乾坤看着梅丽莎的眼睛:“因为只要他的数可以被53整除,他就已经知道了,里面必然有53!”

“所以我们现在,范围一下子缩小了很多!”赵乾坤继续在地上演算:“两数之和小于等于54,同时呢,还不可能是偶数!”

“为什么?”梅丽莎额头冒汗,追问道:“你又没一个个算过!”

“这不是我说的!”赵乾坤耸了耸肩膀:“是哥德巴赫说的!有本事你找他去!”

说着,赵乾坤继续缩小范围:“然后呢,所有2加质数都排除掉,我看看,那就还剩十一个数了……等等,这个51,等于3乘17,也就是17加二倍17,如果是它的话,你的师兄也有可能立刻确定,所以也排除……同理,其他质数的三倍也……好像没有了!”

“好了,现在只剩下十个数了……”赵乾坤笑道:“这还只是分析了你的那句话,如果继续下去的话,应该还能缩小范围,但我觉得这已经够了,挨个试过,也不用太久吧?”

“不用浪费时间了……”梅丽莎叹了口气:“我承认,你通过了!”

梅丽莎话音刚落,周围围观的众人都发出了喝彩声,就连一旁的卡洛尔也目瞪口呆,要知道这个问题,他到现在都还没怎么弄懂呢……之前隐士峡谷出给他们的题也是这样,涉及各种门类,往往需要想常人之不能想,他们也是集思广益方才过关。可是看这个赵乾坤,仿佛挺轻松的嘛……

他哪里知道,赵乾坤看到这题的瞬间,就差点报出答案来。

这不是着名的,鬼谷子考孙斌庞涓的那个问题吗……他当初看到过,费了好多脑浆也弄不明白,后来看了答案才恍然大悟。没想到,居然在异世界,遇到了一样的问题!

想到这里,赵乾坤不由得一机灵:那个隐者,该不会也是个穿越者吧?

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