cho 1 so chinh phuong co 4 chu so. Biet rang chu so tan cung cua no la so nguyen to, tong cac chu so cua no cung la so chinh phuong va can bac 2 cua no co tong cac chu so cung la so chinh phuong
Chung minh rang neu n la mot stn lon hon 1 thi so 2^n-1 khong the la so chinh phuong
chung minh 2005.2007.2009.2011+16 la so chinh phuong
chung minh tong abc+bca+cab khiong phai la so chinh phuong
chung minh rang: N=444...44 888...8 9(nchu so 4)( n-1 chu so 8) la so chinh phuong
tim so nguyen to p de 4p+1 la so chinh phuong
biet a+1 va 2a+1 (a thuoc N) dong thoi la 2 so chinh phuong. chung minh rang a chia het cho 24
Cho: A,B trong do Agom 2m chu so 1 , B gom m chu so 4
Chung minh rang A+B+C+1 la so chinh phuong
a, chung minh tich cua 4 so tu nhien lien tiep cong 1 luon la so chinh phuong
b, tim so nguyen a de \(\frac{a^2+a+3}{a+1}\)