【新的遊戲創意】質數戰爭

ejsoon

遊戲規則非常簡單：

每個人挑兩個四位數的質數相乘，把乘積結果展示給對方。先算出對方的兩個質數者勝。

要求不能使用任何電子産品，只能用紙筆來算，可查表。

問題來了：

該提前打印啥表？用何方法可速算？

northwolves

最高与最低两位数来源表，如末两位：

1. {01,{{3,67},{7,43},{9,89},{11,91},{13,77},{17,53},{19,79},{21,81},{23,87},{27,63},{29,69},{31,71},{33,97},{37,73},{39,59},{41,61},{47,83},{57,93}}},
   
2. {03,{{1,3},{7,29},{9,67},{11,73},{13,31},{17,59},{19,37},{21,43},{23,61},{27,89},{33,91},{39,77},{41,83},{47,49},{51,53},{57,79},{63,81},{69,87},{71,93},{97,99}}},
   
3. {07,{{1,7},{3,69},{9,23},{11,37},{13,39},{17,71},{19,53},{21,67},{27,41},{29,83},{31,97},{33,79},{43,49},{47,81},{51,57},{59,73},{61,87},{63,89},{77,91},{93,99}}},
   
4. {09,{{1,9},{7,87},{11,19},{13,93},{17,77},{21,29},{23,83},{27,67},{31,39},{33,73},{37,57},{41,49},{43,63},{51,59},{61,69},{71,79},{81,89},{91,99}}},
   
5. {11,{{1,11},{3,37},{7,73},{9,79},{13,47},{17,83},{19,69},{21,91},{23,57},{27,93},{29,59},{31,81},{33,67},{39,49},{41,71},{43,77},{51,61},{53,87},{63,97},{89,99}}},
   
6. {13,{{1,13},{3,71},{7,59},{9,57},{11,83},{17,89},{19,27},{21,53},{23,31},{29,97},{33,61},{37,49},{39,67},{41,93},{43,91},{47,79},{51,63},{69,77},{73,81},{87,99}}},
   
7. {17,{{1,17},{3,39},{7,31},{9,13},{11,47},{19,43},{21,77},{23,79},{27,71},{29,73},{33,49},{37,41},{51,67},{53,89},{57,81},{59,63},{61,97},{69,93},{83,99},{87,91}}},
   
8. {19,{{1,19},{3,73},{7,17},{9,91},{11,29},{13,63},{21,39},{23,53},{27,97},{31,49},{33,43},{37,87},{41,59},{47,77},{51,69},{57,67},{61,79},{71,89},{81,99},{83,93}}},
   
9. {21,{{1,21},{3,7},{9,69},{13,17},{19,59},{23,27},{29,49},{31,91},{33,37},{41,81},{43,47},{51,71},{53,57},{63,67},{73,77},{79,99},{83,87},{93,97}}},
   
10. {23,{{1,23},{3,41},{7,89},{9,47},{11,93},{13,71},{17,19},{21,63},{27,49},{29,87},{31,33},{37,79},{39,57},{43,61},{51,73},{53,91},{59,97},{67,69},{77,99},{81,83}}},
    
11. {27,{{1,27},{3,9},{7,61},{11,57},{13,79},{17,31},{19,33},{21,87},{23,49},{29,63},{37,71},{39,93},{41,47},{43,89},{51,77},{53,59},{67,81},{69,83},{73,99},{91,97}}},
    
12. {29,{{1,29},{3,43},{7,47},{9,81},{11,39},{13,33},{17,37},{19,91},{21,49},{31,59},{41,69},{51,79},{53,93},{57,97},{61,89},{63,83},{67,87},{71,99}}},
    
13. {31,{{1,31},{3,77},{7,33},{9,59},{11,21},{13,87},{17,43},{19,49},{23,97},{27,53},{29,39},{37,63},{41,91},{47,73},{51,81},{57,83},{61,71},{67,93},{69,99},{79,89}}},
    
14. {33,{{1,33},{3,11},{7,19},{9,37},{13,41},{17,49},{21,73},{23,71},{27,79},{29,77},{31,43},{39,47},{51,83},{53,61},{57,69},{59,87},{63,91},{67,99},{81,93},{89,97}}},
    
15. {37,{{1,37},{3,79},{7,91},{9,93},{11,67},{13,49},{17,61},{19,23},{21,97},{27,31},{29,53},{33,89},{39,83},{41,57},{43,59},{47,71},{51,87},{63,99},{69,73},{77,81}}},
    
16. {39,{{1,39},{3,13},{7,77},{9,71},{11,49},{17,67},{19,81},{21,59},{23,93},{27,57},{29,91},{31,69},{33,83},{37,47},{41,79},{43,73},{51,89},{53,63},{61,99},{87,97}}},
    
17. {41,{{1,41},{3,47},{7,63},{9,49},{11,31},{13,57},{17,73},{19,39},{23,67},{27,83},{33,77},{37,93},{43,87},{51,91},{53,97},{59,99},{61,81},{69,89}}},
    
18. {43,{{1,43},{3,81},{7,49},{9,27},{11,13},{17,79},{19,97},{21,83},{23,41},{29,67},{31,53},{33,71},{37,39},{47,69},{51,93},{57,99},{59,77},{61,63},{73,91},{87,89}}},
    
19. {47,{{1,47},{3,49},{7,21},{9,83},{11,77},{13,19},{17,91},{23,89},{27,61},{29,43},{31,37},{33,59},{39,73},{41,67},{51,97},{53,99},{57,71},{63,69},{79,93},{81,87}}},
    
20. {49,{{1,49},{3,83},{9,61},{11,59},{13,73},{17,97},{19,71},{21,69},{23,63},{27,87},{29,81},{31,79},{33,53},{37,77},{39,91},{41,89},{47,67},{51,99}}},
    
21. {51,{{1,51},{3,17},{7,93},{9,39},{11,41},{13,27},{19,29},{21,31},{23,37},{33,47},{43,57},{49,99},{53,67},{59,89},{61,91},{63,77},{69,79},{71,81},{73,87},{83,97}}},
    
22. {53,{{1,53},{3,51},{7,79},{9,17},{11,23},{13,81},{19,87},{21,93},{27,39},{29,57},{31,63},{33,41},{37,69},{43,71},{47,99},{49,97},{59,67},{61,73},{77,89},{83,91}}},
    
23. {57,{{1,57},{3,19},{7,51},{9,73},{11,87},{13,89},{17,21},{23,59},{27,91},{29,33},{31,47},{37,61},{39,63},{41,77},{43,99},{49,93},{53,69},{67,71},{79,83},{81,97}}},
    
24. {59,{{1,59},{3,53},{7,37},{9,51},{11,69},{13,43},{17,27},{19,61},{21,79},{23,33},{29,71},{31,89},{39,81},{41,99},{47,97},{49,91},{57,87},{63,93},{67,77},{73,83}}},
    
25. {61,{{1,61},{3,87},{7,23},{9,29},{11,51},{13,97},{17,33},{21,41},{27,43},{37,53},{39,99},{47,63},{49,89},{57,73},{59,79},{67,83},{71,91},{77,93}}},
    
26. {63,{{1,63},{3,21},{7,9},{11,33},{13,51},{17,39},{19,77},{23,81},{27,69},{29,47},{31,73},{37,99},{41,43},{49,87},{53,71},{57,59},{61,83},{67,89},{79,97},{91,93}}},
    
27. {67,{{1,67},{3,89},{7,81},{9,63},{11,97},{13,59},{17,51},{19,93},{21,27},{23,29},{31,57},{33,99},{37,91},{39,53},{41,87},{43,69},{47,61},{49,83},{71,77},{73,79}}},
    
28. {69,{{1,69},{3,23},{7,67},{9,41},{11,79},{17,57},{19,51},{21,89},{27,47},{29,61},{31,99},{33,93},{39,71},{43,83},{49,81},{53,73},{59,91},{77,97}}},
    
29. {71,{{1,71},{3,57},{7,53},{9,19},{11,61},{13,67},{17,63},{21,51},{23,77},{27,73},{29,99},{31,41},{33,87},{37,83},{39,89},{43,97},{47,93},{49,79},{59,69},{81,91}}},
    
30. {73,{{1,73},{3,91},{7,39},{9,97},{11,43},{13,21},{17,69},{19,67},{23,51},{27,99},{29,37},{31,83},{33,81},{41,53},{47,59},{49,77},{57,89},{61,93},{63,71},{79,87}}},
    
31. {77,{{1,77},{3,59},{7,11},{9,53},{13,29},{17,81},{19,83},{21,37},{23,99},{27,51},{31,67},{33,69},{39,43},{41,97},{47,91},{49,73},{57,61},{63,79},{71,87},{89,93}}},
    
32. {79,{{1,79},{3,93},{7,97},{9,31},{11,89},{13,83},{17,87},{19,41},{21,99},{23,73},{27,77},{29,51},{33,63},{37,67},{39,61},{43,53},{47,57},{49,71},{59,81},{69,91}}},
    
33. {81,{{1,81},{3,27},{7,83},{11,71},{13,37},{17,93},{19,99},{21,61},{23,47},{29,89},{31,51},{33,57},{39,79},{43,67},{49,69},{53,77},{63,87},{73,97}}},
    
34. {83,{{1,83},{3,61},{7,69},{9,87},{11,53},{13,91},{17,99},{19,57},{21,23},{27,29},{31,93},{33,51},{37,59},{39,97},{41,63},{43,81},{47,89},{49,67},{71,73},{77,79}}},
    
35. {87,{{1,87},{3,29},{7,41},{9,43},{11,17},{13,99},{19,73},{21,47},{23,69},{27,81},{31,77},{33,39},{37,51},{49,63},{53,79},{57,91},{59,93},{61,67},{71,97},{83,89}}},
    
36. {89,{{1,89},{3,63},{7,27},{9,21},{11,99},{13,53},{19,31},{23,43},{29,41},{37,97},{39,51},{47,87},{49,61},{57,77},{59,71},{69,81},{73,93},{79,91}}},
    
37. {91,{{1,91},{3,97},{7,13},{9,99},{11,81},{17,23},{19,89},{21,71},{27,33},{29,79},{31,61},{37,43},{39,69},{41,51},{47,53},{49,59},{57,63},{67,73},{77,83},{87,93}}},
    
38. {93,{{1,93},{3,31},{7,99},{9,77},{11,63},{13,61},{17,29},{19,47},{21,33},{23,91},{27,59},{37,89},{39,87},{41,73},{43,51},{49,57},{53,81},{67,79},{69,97},{71,83}}},
    
39. {97,{{1,97},{3,99},{7,71},{9,33},{11,27},{13,69},{17,41},{19,63},{21,57},{23,39},{29,93},{31,87},{37,81},{43,79},{47,51},{49,53},{59,83},{61,77},{67,91},{73,89}}},
    
40. {99,{{1,99},{3,33},{7,57},{9,11},{13,23},{17,47},{19,21},{27,37},{29,31},{39,41},{43,93},{49,51},{53,83},{59,61},{63,73},{67,97},{69,71},{77,87},{79,81},{89,91}}}

复制代码

northwolves

再打印一张质数表，收到的数字先开平方估算两质数的几何均值，接近100万的从小往大遍历，接近1亿的从大往小遍历即可

ejsoon

northwolves 发表于 2024-12-12 16:47
再打印一张质数表，收到的数字先开平方估算两质数的几何均值，接近100万的从小往大遍历，接近1亿的从大往小 ...

你是說只需要兩張表？

那麼能否真的做成一個pdf，打印到A3紙上，然後按秒錶計時？

看看你的方法是否真的能算出來，需要多長時間。

我這裏給出一個數字：

54030569

如果能詳細介紹解開步驟就最好了。