勾股判断题

ysr

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ysr

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费尔马1

ysr 发表于 2021-2-19 20:00
解/3381956064/8226555935/8894596639/解/3382362539/8226149460/8894375261/解/3387156755/8221355244/889 ...

老师您太棒了！由于数字太多，人工检验不易，也就是检验a是否有重复数字？如果a没有重复数字，答案就是正确的。我让幻方群里的老师检验。
非常感谢老师！此题是数论中的一个大题，老师您立下汗马之功，功不可没！

ysr

ysr 发表于 2021-2-19 11:53
解/1434936696/10173575303/10274272615/解/1436108735/10172403264/10273275839/解/1450086155/1015842584 ...

嗯，对，我删掉了一个，操作失误。删掉一个这样就不重复了。不是程序的错，数据太长，分段发的，106楼多发了一次，删掉就正常了，对了。总数是对的，程序统计的，没有重复的。没有重复统计的数字。

ysr

ysr 发表于 2021-2-19 12:00
解/3381956064/8226555935/8894596639/解/3382362539/8226149460/8894375261/解/3387156755/8221355244/889 ...

谢谢沟通和鼓励！这都是程序结果，有电脑就是好，这个还是容易验证的，机器几个小时就可以算出来。
哈哈，新年快乐，祝愿成功！

ysr

“ysr老师还有兴趣将71换成73再试一试吗？换成73后还应该有1093组解。”
这个可以办到，不过得等几个小时才能出来结果，可能至少在晚12：00之后了。
163500169*73=11935512337

费尔马1

ysr 发表于 2021-2-19 21:46
谢谢沟通和鼓励！这都是程序结果，有电脑就是好，这个还是容易验证的，机器几个小时就可以算出来。
哈哈 ...

太好了！非常感谢老师！老师您辛苦了，好好休息吧。
我想，我们的这道题的猜想公式是正确的，只是没有方法证明。即便是这样，也非常棒了！也可以说是数论史上的一个里程碑啊！得抽空写一篇论文，保存下去，您说是吗？

ysr

费尔马1 发表于 2021-2-19 13:56
太好了！非常感谢老师！老师您辛苦了，好好休息吧。
我想，我们的这道题的猜想公式是正确的，只是没有方 ...

很好，你们好好写写吧！我没有研究这个写不了，很高兴能和朋友沟通！
谢谢，祝愿成功！

yangchuanju

ysr 发表于 2021-2-19 21:42
嗯，对，我删掉了一个，操作失误。删掉一个这样就不重复了。不是程序的错，数据太长，分段发的，106楼多 ...

将老师的数据复制粘贴到WORD文档，将所有“解”字替换成“^p”，这样每一组数据就变成了一行文字；
然后再复制粘贴到EXCEL文档，分列、求最大公约数、排序，分别统计含1-7个素因子的解的组数：1个公约数为1的64组，7个公约数为单一素数的各32组，21个公约数为2素因子积的各16组，35个公约数为3素因子积的各8组，35个公约数为4素因子积的各4组，21个公约数为5素因子积的各2组，7个公约数为6素因子积的各1组，总1093组。
将a,b,c三组数字分别变成两组位数较小的数字a1,b1,c1和a2,b2,c2，然后分别计算a1^2,a2^2,2*a1*a2; b1^2,b2^2,2*b1*b2; c1^2,c2^2,2*c1*c2；计算a1^2+b1^2-c1^2;  a2^2+b2^2-c2^2; 2*a1*a2+2*b1*b2-2*c1*c2；再将三个差乘以不同的幂数再相加，均为0。检验结束，正确无误！

ysr

yangchuanju 发表于 2021-2-19 14:20
将老师的数据复制粘贴到WORD文档，将所有“解”字替换成“^p”，这样每一组数据就变成了一行文字；
然后 ...

好的，证明猜想正确，祝愿成功!新年快乐！