Cho a=3^2016+2. Chung minh rang a^2+2 la hop so.
a) Cho p va p+2 la cac so nguyen to ( p > 3 ) . Chung minh rang p + 1 chia het cho 6
b) Cho p va p + 4 la cac so nguyen to ( p > 3 ) . Chung minh rang p + 8 la hop so
chung minh rang A= 802 - 79 nhan 80 + 1061 la hop so
a) cho p va p+4 la cac so nguyen to (p>3). chung minh rang p+8 la hop so
b) chung minh rang : neu (d + 2c + 4b) chia het cho 8 thi abcd chia het cho8
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
goi a la tap hop boi chung cua a , b
goi b la tap hop uoc chung cua 13 a + 8b va 5 a+3b
chung minh rang a=b
Cho p;p +14 la mot so nguyen to. Chung minh rang p + 7 la hop so
Chung minh rang cac tong sau la hop so
a) abcabc + 7
b) abcabc + 22
c) abcabc + 39
chung minh rang tong sau day la hop so abcabc + 22