大于6的素数,证明为什么相邻素数中间的数能够被6整除
比如
11,12,13
17,18,19
29,30,31
41,42,43
assume it cannot be divided by 6, the middle one can only be 6x + 1, 6x+2,6x+3,6x+4, or 6x+5.
Exclude one by one
1) 6x+1
Then the less Prime number should be 6x, conflict
2) 6x+2
Then the large Prime num should be 6x+3, conflict
3) 6x+3
Then the less Prime number should be 6x+2, conflict
4) 6x+4
Then the less Prime number should be 6x+3, conflict
4) 6x+5
Then the large Prime number should be 6x+6 conflict
So, it can be divided by 6.
however, it is not true if there are multiple numbers between two prims such
13, 14, 15, 16, 17
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