Tim so nguyen n de
a, n2 -5
b, n2-4n +3
La cac so chinh phuong
cho so nguyen to p va cac so duong x,y thoa man 4x^2-3xy-y^2-p(3x+2y)=2p^2 CHUNG MINH RANG 5x-1 la so chinh phuong
cho cac so nguyen duong a,b,c thoa man :(a,b,c)=1;ab=c(a+b).Cm a+b la so chinh phuong
tim n la so tu nhien sao cho n2+2002 la 1 so chinh phuong
tim so tu nhien N co 2 chu so,biet rang 2N+1 va 3N+1 la cac so chinh phuong
B1. Cho f(1)=1008,f(1)+f(2)+...+f(n)=n^2.f(n) f(n)la ham so duong
tinh f(2015)
B2 Cho cac so nguyen to q,p,r,s sao cho cac so sau deu la so nguyen to p^s+s^q,q^s+s^r,r^s+s^p
tim cac so p,q,r,s
B3 co a,b,c duong a mu 3+bmu3=c^3
so sanh a^2015+b^2015 va c^2015
tim tat ca cac so chinh phuong gom 4 chu so biet rang khi ta them 1 don vi vao chu so hang nghin them 3 dom vi vao hang tram them 5 don vi vao hang chuc them 3 don vi vao hang don vi ta van co 1 so chinh phuong
co cac so nguyen duong a,b.c nguyen to cung nhau tm (a+b)=ab cmr a+b la co chinh phuong
tim x,y nguyen duong de:
x2+3y va y2+3x la so chinh phuong