Tìm số nguyên tố p để \(\left\{{}\begin{matrix}\dfrac{p+1}{2}\\\dfrac{p^2+1}{2}\end{matrix}\right.\) là số chính phương

1. I wish he ………………..…. here now. (be) 2. She wishes you ………………… better soon. (feel)

3. If only you …………….. here yesterday. (be) 4. I wish he ………………. he work tonight. (finish)

5. We wish you ……………. tomorrow. (come) 6. She wishes she …………….. the window last night. (open)

7. I wish you …………. earlier yesterday. (leave) 8. If only they …………… with us last weekend. (come)

9. They wish he ………………….……. with them the next day. (come)

10. They wish we ………………..………. them some food yesterday. (give)

11. If only you ……..…………. yesterday. (arrive)12. I wish tomorrow ………………a beautiful day. (be)

13. You wish you ……………………. what to do last year. (know)

14. If only he …………..…….. us next year. (visit)

15. She wishes that she …………………. at home now. (be)

16. I wish it …………………….. fine on the party next week. (be)

17. You wish that he …………... you last week. (help)

18. I wish I ……………. the subject more interesting. (find)

19. He always wishes he ……………….…. rich. (be)

20. The boy wishes that he ………………..…. the competition the next day. (win)

Cho \(a,b\in Z\), \(a^3+b^3>0\)

\(CMR:a^3+b^3\ge a^2+b^2\)

1. Tìm số nguyên tố a, b, c

a) \(abc< ab+bc+ca\)

b) \(abc=3\left(a+b+c\right)\)

2.  Tìm p, q nguyên tố:

\(p+7pq^2=q^3+43p^2+1\)