Chung minh rang moi uoc nguyen to cua 1*2*3*.........*2002-1 deu lon hon 2002 ( vi ko co dau nhan neu thay bang dau sao nha )
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 minh rang moi so nguyen to lon hon 2 deu viet duoc duoi dang 4n+1 hoac 4n+3
Cho 3 so nguyen p ; p cong 2014.k;p cong 2015.k la cac so nguyen to lon hon 3 va p chia cho 3 du 1.Chung minh rang k chia het cho 6
Chung minh rang trong 3 so nguyen to lon hon 3 luon co 2 so nguyen to ma tong hoac hieu cua chung chia het cho 12
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.
chung minh rang moi so lon hon 3 deu co dang 6^n+_1
Chung minh rang p+2 va p+4 la so nguyen to lon hon 3 thi tong cua chung chia het cho 12.
cho 2014 so nguyen trong do tich cua 3 so bat ky luon la 1 so nguyen am chung to rang tich cua 2014 so nguyen do la 1 so nguyen duong
