若自然数n+3与n+7都是质数,求n除以6的余数.
若自然数n+3与n+7都是质数,求n除以6的余数.
数学人气:431 ℃时间:2020-01-29 13:26:47
优质解答
不妨将n分成六类,n=6k,n=6k+1,…,n=6k+5,然后讨论.当n=6k时,n+3=6k+3=3(2k+1)与n+3为质数矛盾;当n=6k+1时,n+3=6k+4=2(3k+2)与n+3为质数矛盾;当n=6k+2时,n+7=6k+9=3(2k+3)与n+7为质数矛盾;当n=6k+3...
我来回答
类似推荐
猜你喜欢
- 124点玩法是给你四张卡片,四张卡片分别为1 5 5 5,怎样算出24点?(要用到小数)
- 2Tom is reading a letter____him____his friend.A.to;from B.for;from哪个对?
- 3小心的近义词是什么
- 4仿写:匆匆(AA叠词)
- 5英语翻译
- 6是表的什么部分 有什么作用
- 754 .9乘以0.38怎么用简便方法计算
- 8两人英语幽默对话,三分钟左右!
- 9英语回答If you had a chance,would you like to work in the movie business?In what kind of work?Wh
- 10she wants to become a reporter when she grows up.句中become 可不可用be