Cho 12 so deu la so nguyen to(a1,a2,...,a12), chung minh rang:
(a1-a2)(a3-a4)(a5+a6) chia het cho 1800
a, chung minh tich cua 4 so tu nhien lien tiep cong 1 luon la so chinh phuong
b, tim so nguyen a de \(\frac{a^2+a+3}{a+1}\)
cho p la so nguyen to lon hon 3 chung minh rang p^2+2012 la hop so
ae jup minh voi
Cho 4 so nguyen duong a,b,c,d ma trong do b la trung binh cong cua 2 so a va c.Chung minh rang 4 so a,b,c,d lap thanh mot ti le thuc neu \(\frac{2}{c}\)=\(\frac{1}{b}+\frac{1}{d}\)
tim-cac-so-nguyen-duong-lien-tiep-ma-tong-cua-chung-la-mot-so-nguyen-to
ti so cua hai so la 7?/12,cong them 10 vao so thu nhat thi ti so cua chung la 3/4.tong cua hai so la:
cho A = 1 - 3/4 + (3/4)^2 - ...-(3/4)^2009 + (3/4)^2010
chung to A k phai la so nguyen
Cho f(x)=ax^2+bx+c. Biet f(0), f(1), f(2) la so nguyen. Chung minh f(x) luon nhan gia tri nguyen voi moi x nguyen
cho p>3,Chung minh rang neu p,p+d,p+2d la cac so nguyen to thi d chia het cho 6