ejsoon 发表于 2025-2-7 00:38:43

2025位1的平方是？

数论爱好者 发表于 2025-2-7 09:41:09

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

nyy 发表于 2025-2-7 14:34:47

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 发表于 2025-2-7 20:15:13

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 发表于 2025-2-8 13:38:29

(10^2025-1)^2/81

mathe 发表于 2025-2-8 16:46:13

王守恩 发表于 2025-2-10 09:22:39

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 发表于 2025-2-10 09:40:08

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


1234567901234567901234567901234567901234567901234567901234567901234567\
9012345679012345679012345679012345679012345679012345679012345679012345\
6790123456790123456790123456790123456790123456790123456790123456790123\
4567901234567901234567901234567901234567901234567901234567901234567901\
2345679012345679012345679012345679012345679012345679012345679012345679\
0123456790123456790123456790123456790123456790123456790123456790123456\
7901234567901234567901234567901234567901234567901234567901234567901234\
5679012345679012345679012345679012345679012345679012345679012345679012\
3456790123456790123456790123456790123456790123456790123456790123456790\
1234567901234567901234567901234567901234567901234567901234567901234567\
9012345679012345679012345679012345679012345679012345679012345679012345\
6790123456790123456790123456790123456790123456790123456790123456790123\
4567901234567901234567901234567901234567901234567901234567901234567901\
2345679012345679012345679012345679012345679012345679012345679012345679\
0123456790123456790123456790123456790123456790123456790123456790123456\
7901234567901234567901234567901234567901234567901234567901234567901234\
5679012345679012345679012345679012345679012345679012345679012345679012\
3456790123456790123456790123456790123456790123456790123456790123456790\
1234567901234567901234567901234567901234567901234567901234567901234567\
9012345679012345679012345679012345679012345679012345679012345679012345\
6790123456790123456790123456790123456790123456790123456790123456790123\
4567901234567901234567901234567901234567901234567901234567901234567901\
2345679012345679012345679012345679012345679012345679012345679012345679\
0123456790123456790123456790123456790123456790123456790123456790123456\
7901234567901234567901234567901234567901234567901234567901234567901234\
5679012345679012345679012345679012345679012345679012345679012345679012\
3456790123456790123456790123456790123456790123456790123456790123456790\
1234567901234567901234567901234567901234567901234567901234567901234567\
9012345679012345679012345679012345679012345679012345679012345678987654\
3209876543209876543209876543209876543209876543209876543209876543209876\
5432098765432098765432098765432098765432098765432098765432098765432098\
7654320987654320987654320987654320987654320987654320987654320987654320\
9876543209876543209876543209876543209876543209876543209876543209876543\
2098765432098765432098765432098765432098765432098765432098765432098765\
4320987654320987654320987654320987654320987654320987654320987654320987\
6543209876543209876543209876543209876543209876543209876543209876543209\
8765432098765432098765432098765432098765432098765432098765432098765432\
0987654320987654320987654320987654320987654320987654320987654320987654\
3209876543209876543209876543209876543209876543209876543209876543209876\
5432098765432098765432098765432098765432098765432098765432098765432098\
7654320987654320987654320987654320987654320987654320987654320987654320\
9876543209876543209876543209876543209876543209876543209876543209876543\
2098765432098765432098765432098765432098765432098765432098765432098765\
4320987654320987654320987654320987654320987654320987654320987654320987\
6543209876543209876543209876543209876543209876543209876543209876543209\
8765432098765432098765432098765432098765432098765432098765432098765432\
0987654320987654320987654320987654320987654320987654320987654320987654\
3209876543209876543209876543209876543209876543209876543209876543209876\
5432098765432098765432098765432098765432098765432098765432098765432098\
7654320987654320987654320987654320987654320987654320987654320987654320\
9876543209876543209876543209876543209876543209876543209876543209876543\
2098765432098765432098765432098765432098765432098765432098765432098765\
4320987654320987654320987654320987654320987654320987654320987654320987\
6543209876543209876543209876543209876543209876543209876543209876543209\
8765432098765432098765432098765432098765432098765432098765432098765432\
0987654320987654320987654320987654320987654320987654320987654320987654\
3209876543209876543209876543209876543209876543209876543209876543209876\
54320987654320987654320987654320987654320987654320987654321
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