Taro
ѥ󥯤μž֤򲡤ɬ˥ꥮ굢Ǥ
Ϣ³ˤҤäޤɤäƤǤ()
Osaka 524ڡ 0:07:32 29873
Ҥ

󥿥äΤ˿Ťˤʤꤹ

ᣲߡߡߡߡߣ
ǰʬ򤹤ȣĤǿǤ碌
ǿʬ졦ʬҤʬʬǤƤޤΤ
Ĥǿʬ줫ʬҡ͡᣶
ΤޤޤȡʬʬҤʬʬҤȾʬĤΤ
ࣲᣳ̤
ʼ˸ 524ڡ 0:09:29 29874
ʸ
̣äȼ㤨Ƥޤ
ˤƤ⳧᤹Ǥ

15ޤǤǰ6ĤΤ
(2^6)/2=32
524ڡ 0:10:44 MAIL:kyorofumi@msn.com HomePage:ʸ29875
㡼ߡ
ǰʬ򤷤Ƥ鵤դޤ orz
𡡡 524ڡ 0:10:53 MAIL:ojamaru@amber.plala.or.jp 29876
Ѥ
ʬʬҤǰʬ򤷤Ȥ˶̤ΰФʬǤ뤿ᡢ
飱ޤǤǿϣ
äʬ줫ʬҤ̤Τ2^6=64
Ⱦʬ˹ʤ32̤

2^6ФƤʤä
֡ 524ڡ 0:13:16 HomePage:ʥڡ29877
ߤ
ʬʬҤ˿ʬΤȴ㤤ƣ̤
ʲǿʬ줫ʬҤ˿ʬǤ褫äǤ͡
524ڡ 0:20:42 29880
missk
ͤƤߤ˴ñäǤ͡
6ǤФƳݤ碌ʤĴ٤Τϼߤ!!
ǤμФƴޤޤ뤫ޤޤʤͤФǤΤ2^6=64̤
ʬ줬ʬҤ礭ϡȾʬǤΤ64/2=32
ܤڤǤ
Ͼγڱࡡ 524ڡ 0:22:21 MAIL:jjyhr530@yahoo.co.jp 29881
missk
Ǥ⡢ͤ餽줬̤Ǥ͡
ĤŤϥۤǤ͡
Ͼγڱࡡ 524ڡ 0:24:37 MAIL:jjyhr530@yahoo.co.jp 29882
sugitakukun
ǰʬ򤷤ƵŤޤĤѤʥȥץ꡼ȤФƤƥ^^;
꤫ϳͤƱǰʬǤ

ƤƤϤʤȤȤǤ͡orz
ܣ˻ԣӶ衡 524ڡ 0:35:17 MAIL:sugitakuunikun@msn.com HomePage:White Shadow29883
ҥǡ
֥񤤤ƤäƤߤнɽ˲̾
Ĺ󤪸Ǥʻ䤬פ֤ʤǤ
ΤΤβȡ 524ڡ 0:58:48 HomePage:ĤŤ29884
⡼ޥ
դдñǤ ^^v
2^11,3^6,5^3,7^2,11,13 6椫 06ļĤȤδط礭Τ줫ˤʤʣУˤʤΤǡ2^6/2=2^5=32
524ڡ 1:08:24 29885
ǥ
ǽŪˤϳƱˡǣ6׻ΤǤ
Ϥ#29880ˤΤߤ󤵤Ʊߥ򤷤ơǰʬˤĤ
2^11*3^6*5^3*7^2*11*13 ȤƤ⡢߾ʬ졦ʬҤΤ
˿ʬ褦ȹͤΤΰ
ۤ˻ϡʥۡˡ2
錄ϥɥ򤷤ΤǤȯۤžޤѤȻפޤ
524ڡ 1:10:05 29886
doba
#29872 ⡼ޥ󤵤
ޤܤǤ

L=LCM(a,b),G=GCM(a,b)Ȥ
a=AG, b=BGȤȡ
ABϸߤǤǡL=ABG
Ϳ줿
ABG+G+AG+BG=ABG^2Ƚ񤱤롣
ξդGdzä
(A+1)(B+1)=ABG
{(A+1)/A}{(B+1)/B}=G
(1+1/A)(1+1/B)=G
ǡ11+1/A2, 11+1/B2
1G4
ޤabꡢAB, 1+1/A1+1/B

G=4ΤȤ
1+1/A=1+1/B=2
A=B=1

G=3ΤȤ
1+1/B3
B(3+1)/2
B=1
(1+1/A)2=3
A=2

G=2ΤȤ
G1+1/B2
1B2+1
B=2
(1+1/A)(1+1/2)=2
A=3

ʾꡢ(A,B,G) = (1,1,4) or (2,1,3) or (3,2,2)
(a,b) = (4,4) or (6,3) or (6,4)

⤷顢L=ABGפ⤷ޤ͡
524ڡ 6:57:41 29887
doba
#29872 ⡼ޥ󤵤
ܤˤ
x^n-y^nx+ydzڤ뤳ȤȤФǤ͡
524ڡ 7:02:34 29888
ϥ饮㡼ƥ
Ϥ褦ޤMATHEMATICAFactorInteger
ǰʬ򤷤ƤοĤȤ
ǧꡣ
524ڡ 7:15:18 HomePage:湩ؤ˥29889
⡼ޥ
#2987,#2988
dobaء
ξȤǤ^^
1ƱΤǤǤȤäƤ̷ϽФʤͤǤ͡^^;
524ڡ 8:18:40 29890
uchinyan
Ϥˤϡơϡ
Ϥ䤵Ȼפޤ ^^v
פˡ15! ߤǤˤʤ褦ĤΰʬФǤ
15! ǿϡ2, 3, 5, 7, 11, 13 ϻĤǡĤȤʬ뤳Ȥˤʤޤ
ƱǿۤʤȤäƤߤǤȤˤʤʤΤǡ
ϡ2^6 = 64 ̤ꡣʬ < ʬ ʤΤǡξϤȾʬ 64/2 = 32 ĤǤ
ͥνȡ 524ڡ 8:49:59 MAIL:uchi@sco.bekkoame.ne.jp 29891
uchinyan
ǼɤߤޤƱ褦Ǥ
ͥνȡ 524ڡ 8:54:00 MAIL:uchi@sco.bekkoame.ne.jp 29892
doba
#29890 ⡼ޥ󤵤
1ƱΤǤǤȤäƤ̷ϽФʤͤǤ͡
äơܤxy1ξ郎ʤΤȤʡ
x=y=1ʤ顢x^n+y^n(=2)ϻפäx+y(=2)dzڤ褦ʡ

ǡ2y^nx+ydzڤʤȤΤǤ
ǡxy1ɬפˤʤޤ

xޤyξ
x+yϴǡyx+yϸߤǢy^nx+yϸߤǢ2y^nx+yϸߤ
x+y1ʤΤǡ2y^nx+ydzڤʤ
xyξ
x+y϶ǡyx+yϸߤǢy(x+y)/2ϸߤǢy^n(x+y)/2ϸߤ
xy1ꡢx+y2(x+y)/21ʤΤǡy^n(x+y)/2dzڤʤ
äơ2y^nx+ydzڤʤ

äƤʴǤ
524ڡ 9:03:40 29893
uchinyan
#29893
򸫤ФʤΤǴ㤤Ƥ뤫⤷ޤ󤬡⡤dobaƱոǤ
ϡy not= 1 ݥȡʤΤǡʬʤƤǤʵ⡥
ͥνȡ 524ڡ 9:23:28 MAIL:uchi@sco.bekkoame.ne.jp 29894
doba
#29894 uchinyan
ָߤǡפ򺬵ˡֳڤʤפΤǡ
x+yξϡ2y^nx+yߤǤǤϤʤɤƤy^n(x+y)/2ӤʤȤʤʤʤޤ
x+yξϡ(x+y)/2ǤʤΤǡޤǤ2y^nx+yӤ򤹤ɬפޤ
Ȥ櫓ǡ̯˥å㤦ΤǡʬϤäѤɬפʡ
524ڡ 9:48:15 29895
Ĺ
#29884
ҥǡҤߤʤ
פ֤Ǥ
ǯ襤ɥͥҤǡ餤ԤäƤޤ
⣴˵äƤΤǡΥեߤ˹ԤʤƻǰǤ
ǤϡͥåȤˤĤʤĶˤʤΤǡʤʤäǤޤ
ޤ礤礤ޤΤǡꤤޤ
ϤޤޤĤ 524ڡ 10:08:38 HomePage:åλؤ29896
uchinyan
#29895
ʤ
x, y ۤ˶ʬʤƤ⤤Ȼפޤɤϻ褦ʵʬäʣˤʤ褦Ǥ (^^;

䤬פäp q ڤ뤳Ȥ p | q Ƚ񤭤ޤ
x^n + y^n = (x^n - y^n) + 2 * y^n
n ϶ʤΤǡꡤ餫ˡx + y | x^n - y^n ޤ
x + y 2 * y^n Ȥ̰ a not= 1 ĤȤȡa | 2 * y^n a | y or a | 2 or (a = 2b and b not= 1 and b | y) Ǥ
a | y ξϡa | x + y ʤΤǡa | x Ǥϡx, y ߤǡȤȤ̷⤷ޤ
a | 2 ξϡa = 2 Ǥx + y ʳ 1 ǤʤĤȡx + y | x^n + y^n ΤˤϺǽξ˵夷̷Ǥ
ǡx + y = 2 ꤨޤ󤬡ϡxy not= 1 ̷⤷ޤ
b | y ξϡǽξ˵夷ޤ
äơդϡx + y ˤ⤿ʤΤǡx^n + y^n x + y ˤޤ

ʤϡdobaΥҥȤ˽äǤ
򸫤ƺǽ˻פդϾäơ
x^n + y^n = (x + y) * (x^(n-1) + y^(n-1)) - xy * (x^(n-2) + y^(n-2))
ȤΤǤ
Ʊ褦ʵ x + y xy ȸߤǤʤȤΤǡx + y x^2 + y^2 ڤ뤫ɤ˵夷ޤ
ơ
x^2 + y^2 = (x + y)^2 - 2xy
ꡤx + y 2 ڤ뤫ɤ˵夷x + y = 2 ꤨʤȤ롤ȤΤǤ

(äɲ)
x, y 餫ʤΤǤäꤷƤޤx + y 2 ʾ Ǥ
嵭εǤϡäĺΤǤ͡
(ɲý)

ʤ#29872ΰܤϡǽ鸫Ȥ顤dobaƱͤβˡפĤޤ
ͥνȡ 524ڡ 16:48:17 MAIL:uchi@sco.bekkoame.ne.jp 29897
⡼ޥ
#29893,#29894,#29895,#29897
dobauchinyan󡢹ͤƲäƤ꤬ȤޤOrz
錄Ρ1ƱΤǤǤȤäƤ̷ϽФʤͤǤ͡פϡ1ܤ˴ؤƤεǤ^^;

uchinyanΡȤξˡ錄פäΤǤ^^v
ʤߤͧͤβϡ

x^n+y^n=K(x+y)K
ȲꤷˡǾ롣
nʤΤ
x^n-y^n=(x+y)(x-y){x^(n-2)+x^(n-4)*y^2+...+x^2*y^(n-4)+y^(n-2})
Ǥ뤫x^n-y^nx+yܿǤ
x^n^-y^n=L(x+y) L
줫2x^n=(K+L)(x+y)2y^n=(K-L)(x+y)
¾(x,y)=1ʤΤ(x^n,y^n)=1ä(2x^n,2y^n)=2
ä2x+yܿˤʤ뤬xy1̷⤹롣

ȤΤǡ餯dobaꤵ줿ΤǤϤʤΤʡ^^v

524ڡ 13:06:35 29898
uchinyan
#29898
錄Ρ1ƱΤǤǤȤäƤ̷ϽФʤͤǤ͡פϡ1ܤ˴ؤƤεǤ^^;
ʤۤɡ1ܤʤСΤˤǤ ^^

2ܤͧͤξϡͤ纹ϤʤȻפޤʷǡȤ쥤ǡǤ͡
ͥνȡ 524ڡ 16:46:27 MAIL:uchi@sco.bekkoame.ne.jp 29899
ǥ
#29898
ܡΤ褦ˡϴְäƤޤ

ζ顡ᣲn' (':ˡȤ
ʣˡ^nܣ^n^(2n')ܣ^(2n') Ȥޤ
ȡ-ˡ-^(2n')ܣ^(2n'){-^2}^n'ܡʣ^2^n'
(^2^n'ܡʣ^2^n'ᣲʣ^2^n' 䣰
äơ-ˡᣰϤꤨʤΤǡʣˤϡУ--ˡѤdzڤʤ
ʤʣ+ˤϡʣ^nܣ^n ˤǤϤʤ
524ڡ 17:35:47 29900
uchinyan
#29900
¤Ϻǽ顤褦ʤȤͤΤǤΤޤޤǤϴְ㤤Ȼפޤ
Τʤ顤ϡx, y ߤǡʤɤռʤεǤ
ξ硤餫ˡx = y = a ʤɤΤȤx + y x^n + y^n Ǥ
ɲäʤȥȻפޤ

ʤx^n - y^n ξϡѤȤƤ⡤ѷϰϤȤƹŪ
x^n - y^n = x^(2m) - y^(2m)
= (x^2 - y^2)(x^(2m-2) + x^(2m-4) * y^2 + ... + x^2 * y^(2m-4) + y^(2m-2))
= (x + y)(x - y)(x^(2m-2) + x^(2m-4) * y^2 + ... + x^2 * y^(2m-4) + y^(2m-2))
Τꤢޤ

פˡξˤϡ꿵ŤʵɬפȤȤǤ礦
ͥνȡ 524ڡ 19:09:22 MAIL:uchi@sco.bekkoame.ne.jp 29901
⡼ޥ
#29900
ǥء
ޡȤʡɡx,y ϡȿƤ뤫ʡOrz
524ڡ 18:12:07 29902
ǥ
uchinyan(#29901)Ǥȿˤ뤴Ŧ
⡼(#29902)ǤΡx,y ϡȿƤפȤΤŦ
ȤˤäȤǤְ͡äƤ뤳Ȥ Ϥäꤷޤͭ񤦤ޤ
x, y ߤǡפxy1פȤʤäޤʤȤϻפäƤäΤǤ
Ϥꡢuchinyandobaͧͤβˡ˵夹ΤǤ͡ٶˤʤޤ
524ڡ 19:57:15 29903
banyanyan
ϤɤƤޤ˺ƤޤˤʤäƻΤäȤ˵դޤorz
Իԡ 525ʶ 3:48:06 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29904
missk
ȤǡʬʬҤξϤɤʤǤ礦?
ʬ줬1ξʬǤϤʤ2^(6-1)-1=2^5-1=31
ʬ줬1ξǤʬȤƹͤʤ2^5=32
Ͼγڱࡡ 525ʶ 18:09:04 MAIL:jjyhr530@yahoo.co.jp 29905
⡼ޥ
#29905
ʬ줬1Ǥʬȹͤ٤Ȼפޤ^^
ʤߤˡʬʬҤˤʤ褦 n ¸ߤǤ礦

526ڡ 11:29:18 29906
粬ҹ
ϥԡɾäǤ̿͡ؤˤȤäƤϥ֤ԤʬΤǤϤʤǤ礦
ơߤΤǡ11ߣ6ߣߣߣߣĤο줾ǤʤΤǡĤο飰ָĿͤ롣
6061ܡ66᣶ʬ줬ʬҤ礭ʤȤʤΤǡ礦Ⱦʬäƣᣳ
ĹȽ񤭤ޤ򣱣äƬǤǤΤϡȤ褦ޤ
ʺ󡢸ĿŪˤ᤯ޤ
527 15:19:20 29907
⡼ޥ
ͧǤ


A16Ȥ롣AϢ³夫ο򤦤ޤФȡ
οѤʿˤǤ뤳Ȥ衣

褯ʬޤ󡣡ꤤޡOrz
530ʿ 8:24:01 29908
doba
#29908 ⡼ޥ󤵤
ޤǹͤޤ

ޤΡʿפˤϡޤޤȹͤƤΤǤ͡
ʤǤʤȡ7070707070707070Ȥȿ㤬ǤΤǡ

γƥˡ0,1,4,9ΤΤɤ줫ĤǤиС
ΣФդΤǡ
2,3,5,6,7,8Τߤʤ16ΤߤˤĤƹͤ
褤Ȥˤʤޤ
ˡ8ĤǤиΤˤĤƤϡ82֤Ƥ⡢
դʤȽѤ餺
ƱϢ³ϡ餫դΤǡ
ºݤ˸ƤΤϡ
2,3,5,6,7ΤߤʤꡢƱϢ³ʤ16Ǥ褤Ȥˤʤޤ

ݤΤϡ֣פ¸ߤǤ͡¾ǿ
530ʿ 10:24:41 29909
doba
#29908 ⡼ޥ󤵤
㤤ޤ
㳰ΤϣǤ褵Ǥ͡

AγƥˡĤǤиϡɬդ

Ĥиʤ

AκmܤnܤޤǤѤP(m,n)Ƚ񤯤ΤȤ롣

ޤ뼫nǰʬ򤷤Ȥ
ǿpʣޤ˽иf(n,p)=0,
иf(n,p)=1Ȥʤ褦
npδؿf(n,p)ͤ
f(n,2),f(n,3),f(n,5),f(n,7)¤٤Τ
v(n)=(f(n,2),f(n,3),f(n,5),f(n,7))롣

f(n,2),f(n,3),f(n,5),f(n,7)Ϥ01ͤȤΤǡ
v(n)ˤ16̤Υѥ󤬤롣

⤷v(P(1,n)) (n=1,2,,16)ưۤʤ硢
v(n)16̤ꤷʤΤǡƤΥѥ󤬽и
n(P(1,k))=(0,0,0,0)Ȥʤ褦k¸ߤ롣
ΤȤP(1,k)餫ʿ

⤷v(P(1,n)) (n=1,2,,16)Τ룲ĤƱǤ硢
v(P(1,j))=v(P(1,k)) (1jk16)Ȥʤ褦j,k¸ߤ롣
ξ硢
P(j+1,k)=P(1,k)/P(1,j)
n(P(j+1,k))=(0,0,0,0)
ΤȤP(j+1,k)餫ʿ
530ʿ 11:06:15 29910
ݤ
ʤ
ߤ㤤ޤ
٤ߤʤ
䤷Ƥ䤷Ƥä
äѤ餤ŷ񡡡 530ʿ 23:41:15 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ29911