cho tong S= 1+3+5+....+2009+2011
a) tinh S
b chung to S la so chinh phuong
c tim cac uoc nguyen to khac nhau cua S
cho tong S=1+3+5+....+2015. tinh s chung to S la so chinh phuong a tim cac uoc nguyen to hac nhau cua S
CHO 20 SO NGUYEN KHAC 0 : a1;a2;a3;a4;a5;a6;...;a20 CO CAC TINH CHAT SAU :a1 LA SO DUONG ;TONG 3 SO LIEN TIEP BAT KI LA SO DUONG ; TONG 20 SO LA 1 S AM .CHUNG TO a1 LA SO AM ; a3 LA SO DUONG
một số tự nhiên có 12 uoc số (dương) khác nhau kể cả chính nó và 1 , nhưng chỉ có 3 uoc số nguyen to khac nhau. Biet tổng cua cac uoc số nguyen tố la 20.Tim so tu nhien đó
1.Tren nua mp bo chua tia Ox,ve cac tia Ox1,Ox2,Ox3,...,OxN sao cho:
xOx2=2xOx1,xOx3=3xOx1,.......,xOxN=NxOx1.tim so N nho nhat de trong cac tia da ve co mot tia la tia phan giac chung cua 2017 goc
2.CMR:neu p la so nguyen to lon hon 3 va 2p+1 cung la so nguyen to thi 4p+1 la hop so
3.So sanh: 63^15 va 34^18
4.tim cac so tu nhien n co hai chu so biet:2n+1 va 3n+1 deu la so chinh phuong
5.CMR: S=16^5+2^15 chia het cho 33
http://sinhvienshare.com/de-thi-khao-sat-hsg-toan-6-nam-2016-2017-huyen-tien-hai-co-dap/
tim x dua vao quan he uoc boi:
tim so tu nhien x sao cho x-1 la uoc cua 12
tim so tu nhien x sao cho 2x+1 la uoc cua 28
tim so tu nhien x sao cho x+15 la boi cua x+3
tim cac so nguyen x,y sao cho (x+1)(y-2)=3
tim so nguyen x sao cho(x+2).(y-1)=2
tim so nguyen to x vua la uoc cua 275 vua la uoc cua 180
tim so nguyen to x,y biet x+y=12 va UCLL (x:y)=5
tim so tu nhien x,y biet x+y=32 va UCLL (x:y)=8
tim so tu nhien x biet x chia het cho10; xchia het cho12; x chia het cho15 va 100<x<150
tim so x nho nhat khac 0b biet x chia het cho 24 va 30
40 chia het cho x . 56 chia het cho x va x>6
cho B la mot so tu nhien .Biet B =tich cua axby ; a,b la cac so nguyen to khac nhau ;x,y la cac so tu nhien khac 0 . B2co 15 uoc Hoi B3co bao nhieu uoc
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
tim-cac-so-nguyen-duong-lien-tiep-ma-tong-cua-chung-la-mot-so-nguyen-to
cho 2 phan so 6/7 va 2/9 hay tim p/s a/b sao cho khi them ab/ vao 2 p/s da cho thi ty so cua 2 p/s la 3
cho 2 phan so 6/7 va 1/9 hay tim p/s a/b sao cho khi them a/b vao 1/9 va bot a/b o 6/7 thi ta duoc 2 p/s co ty so la 3
viet duoc bao nhieu p/s ma tong cua tu so va mau so 2012 co bao nhieu p/s nho hon 1 bang 1 lon hon 1
tim hai so chan co tong la 2100 biet giua chung co 18 so chan khac tim 2 so tu nhien biet tong cua hai so nay la 2019 giua chung co tat ca 20 so tu nhien khac
ai nhanh minh tick 5 lan giai han bai giai ra nha