2025位1的平方是？

ejsoon

数论爱好者

计算结果：以123456790开头，以0987654321作为尾数，共计4049位

nyy

这个问题太弱智了，哪怕你用C语言数组，也能解决这个问题！

ejsoon

nyy 发表于 2025-2-7 14:34
这个问题太弱智了，哪怕你用C语言数组，也能解决这个问题！

如果這世界上的所有問題，包括所有的數學問題，都能用圖形，表格，動畫的方式去理解和呈現，那麼這個問題應該如何去理解？如何形象化的去展示你的思路？

倪举鹏

(10^2025-1)^2/81

mathe

王守恩

从简单想起。

1^2 = 1,+12,
11^2 = 121,+23,
111^2 = 12321,+34,
1111^2 = 1234321,+45,
11111^2 = 123454321,+56,
111111^2 = 12345654321,+67,
1111111^2 = 1234567654321,+78,
11111111^2 = 123456787654321,+89,
111111111^2 = 12345678987654321,100,
1111111111^2 = 1234567900987654321,+12,
11111111111^2 = 123456790120987654321,+23,
111111111111^2 = 12345679012320987654321,+34,
1111111111111^2 = 1234567901234320987654321,+45,
11111111111111^2 = 123456790123454320987654321,+56,
111111111111111^2 = 12345679012345654320987654321,+67,
1111111111111111^2 = 1234567901234567654320987654321,+78,
11111111111111111^2 = 123456790123456787654320987654321,+89,
111111111111111111^2 = 12345679012345678987654320987654321,+100,
1111111111111111111^2 = 1234567901234567900987654320987654321,+12,
11111111111111111111^2 = 123456790123456790120987654320987654321,+23,
111111111111111111111^2 = 12345679012345679012320987654320987654321,+34,
1111111111111111111111^2 = 1234567901234567901234320987654320987654321,

nyy

1. Clear["Global`*"];(*mathematica11.2,win7(64bit)Clear all variables*)
   
2. a=(10^2025-1)/9
   
3. b=a^2
   

复制代码

1. 1234567901234567901234567901234567901234567901234567901234567901234567\
   
2. 9012345679012345679012345679012345679012345679012345679012345679012345\
   
3. 6790123456790123456790123456790123456790123456790123456790123456790123\
   
4. 4567901234567901234567901234567901234567901234567901234567901234567901\
   
5. 2345679012345679012345679012345679012345679012345679012345679012345679\
   
6. 0123456790123456790123456790123456790123456790123456790123456790123456\
   
7. 7901234567901234567901234567901234567901234567901234567901234567901234\
   
8. 5679012345679012345679012345679012345679012345679012345679012345679012\
   
9. 3456790123456790123456790123456790123456790123456790123456790123456790\
   
10. 1234567901234567901234567901234567901234567901234567901234567901234567\
    
11. 9012345679012345679012345679012345679012345679012345679012345679012345\
    
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15. 0123456790123456790123456790123456790123456790123456790123456790123456\
    
16. 7901234567901234567901234567901234567901234567901234567901234567901234\
    
17. 5679012345679012345679012345679012345679012345679012345679012345679012\
    
18. 3456790123456790123456790123456790123456790123456790123456790123456790\
    
19. 1234567901234567901234567901234567901234567901234567901234567901234567\
    
20. 9012345679012345679012345679012345679012345679012345679012345679012345\
    
21. 6790123456790123456790123456790123456790123456790123456790123456790123\
    
22. 4567901234567901234567901234567901234567901234567901234567901234567901\
    
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27. 3456790123456790123456790123456790123456790123456790123456790123456790\
    
28. 1234567901234567901234567901234567901234567901234567901234567901234567\
    
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56. 0987654320987654320987654320987654320987654320987654320987654320987654\
    
57. 3209876543209876543209876543209876543209876543209876543209876543209876\
    
58. 54320987654320987654320987654320987654320987654320987654321

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