cho p la so nguyen to lon hon 3
a] chung to rang p 6k+1 hoac 6k+5
b] biet 8p +1 la so nguyen to chung minh 4p+1 la hop so
cho p la so nguyen to lon hon 3. Biet 8p+1 va p deu la so nguyen to (p lon hon 3).Hoi p+100 la so nguyen to hay hop so
bai 3 cho p la so nguyen to lon hon 3
A, chung to p co dang 6k+1 hoac 6k+5
B, cho p va 8p-1 la so nguyen to. chung to 8p+1 la hop so
bai 4
A, tim a va b biet rang a.b=320 va BCNN(a,b)=160
B, tim so tu nhien a nho nhat co 3 chu so sao cho khi chia a cho 11 du 5 va chia cho 13 thi du 8
1) Mot so nguyen to chia cho 30 duoc so du la r.Tim r,biet r khong phai la so nguyen to.
2) Chung minh rang:
a/ So 17 khong viet duoc tong 3 hop so khong bang nhau.
b/Moi so le lon hon 17 deu viet duoc duoi dang 3 hop so khac nhau.
Cho P la so nguyen to lon hon 3 va 5p+1 cung la so nguyen to. Chung minh rang 7p+1 la hop so
chung minh rang voi moi so tu nhien n # 0 thi:
a moi so nguyen to lon hon 2 deu co dang 4n _+1
b moi so nguyen t lon hon 3 deu co dang 6n +_1
chung to rang so nguyen to p;p>5 khi chia cho 6 co the du 1 hoac 5
2)chung minh rang neu p va p+2 la so nguyen to lon hon 3 thi p+1 la mot hop so
Cho p la so nguyen to lon hon 3. Biet rang p+2 cung la so nguyen to. Chung minh rang p+1 chia het cho 6.
Cho T la so nguyen to >3. Hay chung minh rang T chi co hai dang la 6k+1 hoac 6k+5