但逆命題不存在 91=6*15+1 ,91不為質數
-------------------------
1 = 6 * 0 + 1
2
3
5 = 6 * 1 - 1
7 = 6 * 1 + 1
11 = 6 * 2 - 1
13 = 6 * 2 + 1
17 = 6 * 3 - 1
19 = 6 * 3 + 1
23 = 6 * 4 - 1
29 = 6 * 5 - 1
31 = 6 * 5 + 1
37 = 6 * 6 + 1
41 = 6 * 7 - 1
43 = 6 * 7 + 1
47 = 6 * 8 - 1
53 = 6 * 9 - 1
59 = 6 * 10 - 1
61 = 6 * 10 + 1
67 = 6 * 11 + 1
71 = 6 * 12 - 1
73 = 6 * 12 + 1
79 = 6 * 13 + 1
83 = 6 * 14 - 1
89 = 6 * 15 - 1
97 = 6 * 16 + 1
-------------------------
1 = 6 * 0 + 1
2
3
5 = 6 * 1 - 1
7 = 6 * 1 + 1
11 = 6 * 2 - 1
13 = 6 * 2 + 1
17 = 6 * 3 - 1
19 = 6 * 3 + 1
23 = 6 * 4 - 1
29 = 6 * 5 - 1
31 = 6 * 5 + 1
37 = 6 * 6 + 1
41 = 6 * 7 - 1
43 = 6 * 7 + 1
47 = 6 * 8 - 1
53 = 6 * 9 - 1
59 = 6 * 10 - 1
61 = 6 * 10 + 1
67 = 6 * 11 + 1
71 = 6 * 12 - 1
73 = 6 * 12 + 1
79 = 6 * 13 + 1
83 = 6 * 14 - 1
89 = 6 * 15 - 1
97 = 6 * 16 + 1
回應
訪客 (未驗證)
Re: 如何證明:質數都是 6 的倍數加減 1
2008-10-20 20:322 | 6k-2
3 | 6k+3
3 | 6k-3
就醬,不需要再解釋了吧
j7631103
Re: 如何證明:質數都是 6 的倍數加減 1
2008-10-22 22:41還有一點很重要
"1"並非質數
ksjeng
Re: 如何證明:質數都是 6 的倍數加減 1
2008-10-23 00:06真開心
訪客 (未驗證)
Re: 如何證明:質數都是 6 的倍數加減 1
2008-10-23 18:16paul30219
Re: 如何證明:質數都是 6 的倍數加減 1
2012-04-04 04:216k+2=2*(3k+1)
6k+3=3*(2k+1)
6k+4=2*(3k+2)
6k=6*k
以上皆為合數
故得證