+) Với p = 2 thì p2 + 2 = 22 + 2 = 4 + 2 = 6 (loại vì là hợp số)
+) Với p = 3 thì \(\hept{\begin{cases}2p-1=2.3-1=6-1=5\\p^2+2=3^2+2=9+2=11\end{cases}}\left(tm\right)\)
+) Với p > 3, p có dạng 3k + 1 hoặc 3k + 2
TH1: p = 3k + 1
\(\Rightarrow p^2+2=\left(3k+1\right)^2+2=9k^2+6k+1+2=9k^2+6k+3⋮3\)(loại)
TH2: p = 3k + 2
\(\Rightarrow2p-1=2\left(3k+2\right)-1=6k+4-1=6k+3⋮3\) (loại)
Vậy p = 3
1.Tren nua mp bo chua tia Ox,ve cac tia Ox1,Ox2,Ox3,...,OxN sao cho:
xOx2=2xOx1,xOx3=3xOx1,.......,xOxN=NxOx1.tim so N nho nhat de trong cac tia da ve co mot tia la tia phan giac chung cua 2017 goc
2.CMR:neu p la so nguyen to lon hon 3 va 2p+1 cung la so nguyen to thi 4p+1 la hop so
3.So sanh: 63^15 va 34^18
4.tim cac so tu nhien n co hai chu so biet:2n+1 va 3n+1 deu la so chinh phuong
5.CMR: S=16^5+2^15 chia het cho 33
Cho p va 2p+1 la cac so nguyen to (p>5).Hoi 4p+1 la so nguyen to hay hop so
Bai 1:tim so nguyen P biet P+2va P+4 deu la nguyen to
bai 2: tong 2^100×7×11+81^3 la nguen to hay hop so ( giai thich)
Bai 3: tim so nguyen to P de P +2,p+6,P+8 deu la cac so nguyen to
Tim cac so nguyen to p sao cho p+2 va p+4 la cac so nguyen to
tim so nguyen to p sao cho 2p-1 ; 3p+1 la cac so nguyen to
Ai lam dung tich ho minh cai nha
Tim so nguyen to p de p, p+2, p+4 deu la cac so nguyen to
1) Tim so nguyen to P de co:
a) P+10 va P+14 deu la so nguyen to
b) P+2 ;P+6 va P+8 deu la so nguyen to
Tim tat ca cac so nguyen to p va q sao cho so 7p+q va pq+11 cung la cac so nguyen to
