17/11/2015

Nhngcitnthvcaccconstrongtonhc
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Nhngcitnthvcacccons

Nhngcitnthvcaccconstrongtonhc

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ontrng
Cngon

Nhng ci tn th v ca cc con
strongtonhc

Tchuynmn
Ton
Ccutchc
Thvinchuynmn
Hotng
L
Ho
SinhK

Bimi

Phtminhranhngconslmttrongnhngthnhtutolncanhnloi.
Nhngconsxuthinttccclnhvc,tnghincukhoahcnkinh
t, ti chnhBi vit ny xin a ra cho ngi c mt gc nhn mi v
nhngcons,gcnhngiitrDuth,khic,mongbnngchiu,nu
nhbnkhngthcstm.
1.Cpsthnthit

Anh
Vn
a
SGD
Th
Tin
Linkt

Hai s to thnh mt cp s thn thit khi chng tun theo quy lut: S ny
bngtngttcccccaskia(trchnhs)vngcli.Cpsthn
thinutinctimra,vcngcchngminhlcp"sthnthit"nh
nht,lcps:220v284.Hythphntchmtcht:S220ngoibnthn
nra,ncnc11csl1,2,4,5,10,11,20,44,55v110.Tngca11
csnyvangbng284.Ngcli,s284ngoibnthnn,ncn5
cskhcl:1,2,4,71,142,tngcachngcngvangbng220.

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Th k 17, nh ton hc Php Fecma tm ra cp "s thn thit" th hai l:

17296v18416.Cngthiimy,mtnhtonhcPhpkhctmracps
thbal:9363544v9437056.iukhinngitakinhngcnhtlnhton
hcThuSnitinglevonm1750cngbmtlc60cpsthn
thit.Giitonhccmtphenkinhhong,hchorng"letmraht
cri".Nhngkhngng,mtthksau,mtthanhninncmi16tui
tnlBaconicngbmtcpsthnthitvonm1866,nchlnhn
220v284mtcht,lcps1184v1210.Nhngnhtonhclntrc
tmrachng,chocpschngmylnnyddngquamt.
Cngvisphttrincakhoahckthut,ccnhtonhcbngmytnh
kimtrattcccstrongphmvi1.000.000,tngcngtmc42cp
sthnthit.Hinnay,slngcpsthnthitctmthyvtqu
cons1000.Thnhngliucphisthnthitlnhiuvhn?Chngphn
bcquylutkhng?Nhngvnnytinayvncnbng.
2.Cpshahn
Khngchdnglimcthnthit,tinthmmtbcna,ccnhkhoahc
btunhnghashahn.
Cp s ha hn l hai s nguyn dng sao cho: tng cc c ca s ny
(khngtnhs)nhiuhnskiang1nv.Nicchkhc,(m,n)lmt
cpsnhhnnus(m)=n+1vs(n)=m+1,trongs(n)ltng
phnnican:mtiukintngngl(m)=(n)=m+n+1,
trongbiuthchcnngtngccc.

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IBNGTRNGTI
Ngcdngthclginhlitnh
yu
KHOCHCNGTCTUN
14NMHC20152016.
NGHGIO
DANHSCHTPTH,C
NHNNGHIBNG
CHUYNNAMNM2015
ITNGVNGUYNGIP
CHNDUNGMTNHGIO
CCHMNG
ntngvtitdymnVtL
bngtingAnh
KHOCHCNGTCTUN
13NMHC20152016.
LtraotngknimchngV
snghipKimtracang
chongchTQucKhnh
Chngtrnh"Hcbngvtr
giptichnh"bcCnhnv
Caohc

Bicquantm
Tonvnbipht
biukhaigingca
ChtchUBND
TnhQungBnhti
trngTHPT
Chuyn
07:21,06/09/2008
Mtsvnkimtranhgikt
quhctpcaHS
21:32,03/11/2009
Tngkt4nmthchincucvn
ng"Hctpvlmtheotm
gngocHChMinh"
21:22,01/10/2010
NHNNGHATRONGTHLC
VNTINCANGUYNNH
CHIU
21:17,26/11/2008
cngbithuhochchuyn
"Ttng,tmgngoc
HChMinhvxydngngta
thtstrongsch,vngmnhl
oc,lvnminh
18:37,20/04/2010

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17/11/2015

Nhngcitnthvcaccconstrongtonhc

Nhng cp s ha hn u tin c tm ra: (48, 75), (140, 195), (1050,

1925),(1575,1648),(2024,2295),(5775,6128).
Ngitachngminhcrng,cpshahnlungm1schnv1sl
(clltngtrngcho1namv1n).

PhnggiodctrunghcQung
Bnh
SgiodcotoQungBnh
Bgiodcoto

3.Emirp
Nubnangctrattrntrongtinganhthchcskhngtmthyu.Bi
nltvitngccatPrime.
Mtemirplmtsnguyntmkhiongcvtrccchscan,ta
cngcmtsnguynt.nhnghanykhngbaogmccsnguynt
xuingc(nh151hoc787),cngkhngphisnguynt1chsnh7.
Nhngemirpsutinctmral:13,17,31,37,71,73,79,97,107,113,
149,157...
Tnh n nay, cc emirp ln nht c bit n l 1.010.006 941.992.101
104.9991.
4.Smnhm
NgungccacitnnyxutphttstchgtchnAchilles.Lmtvanh
hngchintranhyscmnh,chcmtimyuduynhtlgtchn.Mt
scgilsmnhmkhinngthivachiahtchosnguyntv
chiahtchobnhphngcasnguynt.Chnghn,s25lsmnh
m,vnvachiahtchosnguynt5,vbnhphngca5(tc25).Nh
vy, mt s mnh m, cng c th trng vi mt s hon ho (s hon ho
cnhnghnhtrn).
Sauylmtdanhschcattcccconsmnhmgia1v1000:1,4,
8,9,16,25,27,32,36,49,64,72,81,100,108,121,125,128,144,169,196,
200, 216, 225, 243, 256, 288, 289, 324, 343, 361, 392, 400, 432, 441, 484,
500, 512, 529, 576, 625, 648, 675, 676, 729, 784, 800, 841, 864, 900, 961,
968,972,1000.
5.Skquc
hiuskquclg,tacniquahainhngha:Sphongphvsbn
honho.
Sphongphlccsmtngcccscas(khngkchnhn)ln
hns.Vd,s12ctngcccs(khngk12)l1+2+3+4+6=
16>12.Do12lmtsphongph.
Sbnhonho,lstnhinbngtngttchocmtsccan.Nh
vy,tpsbnhonhornghntpshonho.Mtssbnhonho:6,
12,18,20,24,28,30,36,40
Nh vy, gia hai tp hp s bn hon ho v s phong ph c cc phn t
chung.
Vcuicng,skquclg?Mtslskqucnunlsphongph
nhngkhngphilsbnhonho.Nicchkhc,tngccccanl
lnhns,nhngtngcamtshocttcccckhngbaogibng
s.
Visutintrongtphpskqucl:70,836,4030,v5830.
6.Shnhphc
Mtshnhphccxcnhbiqutrnhsauy:
Btuvibtksnguyndng,thaythsbngtngccbnhphng
http://chuyenqb.com/web/tochuyenmon/toan/thuvien/934nhungcaitenthuvicuacacconsotrongtoanhoc

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17/11/2015

Nhngcitnthvcaccconstrongtonhc

ccchscan,vlpliqutrnhchonkhisbng1(nimns
li),hocnlpvtntrongmtchukmkhngbaogm1.
Nhngconsmqutrnhnyktthctrong1lnhngconshnhphc,
trongkhinhngngikhngktthctrong1lnhngconskhnghilng
(hocsbun).
\Hycngthvis44:
+Thnht,4^2+4^2=16+16=32
+Tiptheo:3^2+2^2=9+4=13
+Vmtlnna:1^2+3^2=1+9=10
+Cuicng:1^2+0^2=1+0=1
lmtshnhphc.
iu th v l s hnh phc l rt ph bin, c 143 s t 0 n 1000. V s
hnhphclnnhtvikhngcchslplil986.543.210.lmtcon
shnhphcthcs.
7.Sbtkhxmphm
Citnkqucnyctchonhngskhngthvitdidngtngtt
cccccamtsnguyndngbtk(khngtnhsnguyndng).
Chnghn,4khngphilsbtkhxmphm,v4=3+1.Trong3v1
lttccccca9.Cn5lsbtkhxmphmvcchduynhtvit5=
4+1.Nubnllunyltngcca4thbnnhm.Vtngcccca
4phil:1+2=3.
Ccsbtkhxmphmutin:2,5,52,88,96,120,124,146,162,188,
206,210,216,238,246,248,262,268,276,288,290
8.Stmn
Stmnlnhngsbngtngccmbcbacamichscan.VD:
153=1^3+5^3+3^3
370=3^3+7^3+0^3
371=3^3+7^3+1^3
407=4^3+0^3+7^3.
Cc con s, khi c t tn bi cc nh khoa hc, chnh bn thn h cng
nhnrasphphimcachng.ylnhngkhinimkl,rtthchhp
choccctcuvckhnnggiitr.Dusao,cngxinanngi
cmtgcnhnmivtonhc.
Giovin:LThMaiHoa
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