Ȥ
򸫤Τ2ʬ٤8̤Ǥ
ʲΤ褦˥ץǽֻǤΤˡ

FOR a=100 TO 999
LET x=a*a
IF MOD(x,280)=1 THEN PRINT x
NEXT a
END

51̤
˭ԡ 426ڡ 0:08:26 MAIL:fttnm528@ybb.ne.jp 29758
ʸ
֣פ򤹤Τ˶줷ߤޤ
426ڡ 0:12:45 MAIL:kyorofumi@msn.com HomePage:ʸ29759
ڼ
򸫤Τˣʬ٤ޤޡ
ΡܿʤΤ
*(/ˡʣ/ˡʣ/
ǡȹͤޤ
ʲǧڤǤ餺
͡ 426ڡ 0:17:22 MAIL:iida@ae.keio.ac.jp 29760
Holly
x^21(mod 280)
(x-1)(x+1)0(mod 280)
(x-1),(x+1)ϤɤʤΤǤ줾2dzä
y(y+1)0(mod 70)Ȥʤ(50499ޤǤ)
ʲyǾʬƻorz
Ū䤫ʲפĤʤ
426ڡ 0:23:25 29761
CRYING DOLPHIN
3xȤȡ;x餫˴
x5ܿ7ܿ˶ޤƤ
xľޤľ35ܿ
Σʤġ

xľ7ܿľ夬5ܿΤȤΤ12ġ
ʳΥǤ13ľxΤǡ
1213351ġȤǤޤ

ʬǾǤʤ
ξ硢x^2280k1 x^21280k (x1)(x1)280k
ȤƤޤޤ
ʤxΤȤ(x1)(x1)϶ǡɤ餫
4ܿȤʤ뤿ᡢ8ܿǤ뤳Ȥιθɬפʤ
(x1)(x1)35ܿˤʤФ褤Ȥ狼ޤ
饯񡡡 426ڡ 0:31:59 HomePage:ȤƻȤ29762
Ѥ
פ֤®򤱤ɤä
֡ 426ڡ 0:26:32 HomePage:ʥڡ29763
ڼ

ʤΤǡϢ³Ĥ˾­ΤϣĤޤ
¦ġʣˤˣĤޤ
¦Ĥϡܿʣ
Ĵ٤ޤˣܿϣĤޤ111139141
碌ƣǤ
͡ 426ڡ 0:32:29 MAIL:iida@ae.keio.ac.jp 29764
banyanyan
ΰ̤ʬषơ
ΰ̤ΤȤΤޤοϡ
ġ
ࣷᣱޤꣶߣܣᣲ
ΰ̤ΤȤΤޤοϡ
ġ
ࣷᣱޤꣶߣܣᣲ
äơ
ܣᣵ
դʤȤǤȯǤвȤŪ˲򤱤ޤ
֤ޤ줿
Իԡ 426ڡ 0:47:05 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29765
banyanyan
ï䤫ʲ򶵤Ƥ
Իԡ 426ڡ 1:02:48 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29766
shin
ѵפ֤Ƹޤ
ʬߤäƤ뤫ʡ
n^21(mod.280)ꡢ
n^21(mod.2)ġn^21(mod.5)ġn^21(mod.7)
ꡢn1,29(mod.70)
n1(mod.2)ġn1(mod.5)ġn1(mod.7)
140980ζ᤯Ĵ٤ơ13*4-1=51
426ڡ 1:06:11 29767
banyanyan
ϤɤʤäƤΤǤ礦
Իԡ 426ڡ 1:35:57 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ29768
ϥ饮㡼ƥ
Ϥ褦ޤ

ץǤϾñʥץǤΤ
ڤǤ
426ڡ 7:26:12 HomePage:湩ؤ˥29769
uchinyan
Ϥˤϡơϡ
ϥץȤǤޤдñ˽ФޤʻϤ褯ʬ餺ʲغβˡǤ

ȤȡʡȤơ
ߡ280ߢ1
ߡ1280ߢ
(1)(1)280ߢ857ߢ
˺ǸΰʬϿؤȻפޤʲϡȤʤ
餫ˡϴǤΤȤ11ϤȤ˶ϣܿʤΤǺդϣܿǤ
ǡ(1)(1)35ܿˤʤ뤳Ȥɬ׽ʬǤϡ
(1)1ᣵܿ 1᣷ܿ -> ᣵܿ1 ᣷ܿ1
(2)1᣷ܿ 1ᣵܿ -> ᣷ܿ1 ᣵܿ1
(3)135ܿ -> 35ܿ1
(4)135ܿ -> 35ܿ1
Τ줫ǤϴǤ
ǡܿܤĴ٤Ƥߤޤ
줬1 1 ˤʤФΤǡºݤˤϡ14ܿͤФǤ
κǾΤΤ褦ʿ 112 = 14 * 8 Ǥϡ111 ǡ(1)ޤ
Ʊ(1)ξˤʤΤϡ1ᣵܿȤʤ뤳Ȥθȡ14 * 5 = 70 Ǥºݡ
112 = 14 * 08 : 11101111112(1)
126 = 14 * 09 : NG
140 = 14 * 10 : 11381391140(4)or11401411142(3)
154 = 14 * 11 : NG
168 = 14 * 12 : 11681691170(2)
182 = 14 * 13 : 11801811182(1)
182 = 112 + 70
ʲƱͤǤǡ嵭ξ70ˤƷ֤Ȥʬޤ
ơΰδ֤ˡ(1)(2)(3)(4)󤺤ġиޤ
112 + 70 * 0, 112 + 70 * 1, 112 + 70 * 2, ..., 112 + 70 * 12 = 952, 112 + 70 * 13 = 1022
ʤΤǡ999 ޤǤ12ä13ܤˤʤޤǵդˤɤäơ
1022 = 1022 - 14 * 0 : (1)<-----14ܤκǽ
1008 = 1022 - 14 * 1 : (2)<-----13ܤν
0994 = 1022 - 14 * 2 : NG
0980 = 1022 - 14 * 3 : (3) (4)
0966 = 1022 - 14 * 4 : NG
0952 = 1022 - 14 * 5 : (1)<-----13ܤκǽ

ʤΤǡ13ܤϺǸ(2)ȴޤ
ǡθĿ 4 * 13 - 1 = 52 - 1 = 51 Ĥˤʤޤ
ͥνȡ 426ڡ 11:58:20 MAIL:uchi@sco.bekkoame.ne.jp 29770
uchinyan
ǼĤɤߤޤزˡޤƤ#29770纹ʤ褦ǡޤڤΤˡϤʤ褦Ǥ͡
#29768ϤɤʤäƤΤǤ礦
Τꤿ (^^;
ͥνȡ 426ڡ 12:11:48 MAIL:uchi@sco.bekkoame.ne.jp 29771
tl
#29762CRYING DOLPHIN#29770uchinyanȤۤƱȻפޤ
http://ff.sansu.org/sansu/547b.jpg
Τ褦ʿޤǹͤ
X-1=280ܿ100ʾ999ʲξ
=>1դ飱դ1Τ280ܿ
=>ȤȤϡޤABCDѤ140ܿ
ξ줬1줬⤵-1ʤΤ
ܲ硢⤵򾮤ȤȡX2140ܿ
ĤޤꡢX280ܿˤʤ롣
X10000ʾʤΤ10000280dzȤۤ35ˤʤ
顢280X35X2Ǿοˤʤ롣
X1000000ʲȹͤƤ褤Τǡ1000000280X35X2
dz51....51

429 17:33:54 29772

轵̤̾ꤵΤǤ礦͡
ˤäƵ֤֤ۤѤäƤޤΤǡ
褽140٤餤 426ڡ 14:45:18 29773
ޥ
褦䤯֤Ȥޤ..m(__)mʷǵͿ׻ȷշ׻Ȼ줬ŤʤäƤޤޤ..

ȡ轵Ǥ٤ߤȤƤޤ礦奪եߤˤʤǤΤȤ˹ԤäƤޤΤǡTOPڡդޤ路ƥߥޥ󡣡ʤ줫ľޤ

ȡǤ

280dzä1ޤ롡Ρ8dzäƤ⡢5dzäƤ⡢7dzäƤ1ޤ

8dzä1;äƤȤϡ
7dzä1;äƤȤϡȤο7dzä1;뤫6;
5dzä1;äƤȤϡȤο5dzä1;뤫4;

äƤȤܤƲ򤯲ˡꤷƤޤˤƤ⡢1~70ޤǤĴ٤ɬפޤ..
PowerBook 426ڡ 19:19:30 MAIL:masaru-y@sansu.org HomePage:29774
ǥ
ޤꤤˡȤϻפʤΤǤƱͤʲˡؤɤʤΤǽ񤤤Ƥߤޤ

ΰΰ̤ϣǤ롣
(1)ְΰ̤פξ
򣱣(ܣ)ܣȤ
ʣܣܣ)^2ݣᣲȤѷ
(++1ˡʣ+ˡᣱ
դ򣱣ܿˤϣΤȣǤ롣
᣷+᣹ߤϡġʥ
᣷+᣹ߤϡġʥ
(2)ְΰ̤פξ
򣱣(ܣ)ܣȤȡ(1)Ʊͤˤ
ʣܣܣˡʣ++ˡᣱȤդ򣱣
ܿˤϣȣ
᣷ܣ᣹ߤϡġʥϡ
᣷ܣ᣹ߤϡġʥˡ
äơʥˡʥˡʥϡˡʥˡˤ򤿤ơ

ϤؤǤʤʤ򤱤ͶȬǤ

426ڡ 21:32:19 29775
uchinyan
#29772
ʤۤɡŪ˹ͤΤ̩äȵˤʤޤ򤤹ͤȻפޤ

#29774
䤨ȡ轵Ǥ٤ߤȤƤޤ
䡤轵Ϥ٤ߤǤ

ˡϡ#29767ƱʤǹͤǤ͡
Ⱦ⤽ǹԤ#29770Τ褦Ĵ٤ƤߤФǤޤ͡
ʤĿŪˤϡؤǤ#29767֥åꤷƤ褦˻פäƤޤ

#29775
ϿؤǤ
䳺򣱣(ܣ)ܣȤ
ʤɤΤפƤƶ̣Ǥ
ͥνȡ 426ڡ 21:45:52 MAIL:uchi@sco.bekkoame.ne.jp 29776
粬ҹ
פ֤ޤʡ˺ɤͤɤݤʤäƻפäƥץѤƤޤޤʡ˺ǶᡢƬȤäƤʤʡ
426ڡ 23:23:02 29777
Taro
ͤƤޤ

#29760Τ褦˹ͤ70Ĥ4ĤʤΤϰϤ90999910Ĥˤ52Ĥޤ
9099Τ2褷Ȥ1ΰ̤9199ͤ뤬917ܿ
ʤΤǹͤ9929801ʤΤ¨280dzä;1ʬޤ
ä52-151ϳڤʤ

427ʶ 0:13:24 29778

ޤϣǤȡ
ʣޣˡᣲܣ
Ȥ
ޣᣱ
ϣ򣷤dzäޤʬषơ

󤼤󻻿͡
427ʶ 0:23:00 HomePage:륯Υ֥29779
YokoyaMac
֤Ƥޤ
βϡǤ
PowerBook G4/1.33GHz 427ʶ 0:30:42 MAIL:yotch@sansu.org HomePage:ѥ29780
罡Ϻ
̵Ƥޤ
#29780Τ˽ֻǤ͡
#29765ȤʤȤˤʤΤʡ
427ʶ 12:05:16 MAIL:igoso@nifty.com 29781
⡼ޥ
ϫޤ^^;
ʬȷ׻ߥǡ

x^2-1=280*y
(x-1)(x+1)=2^3*5*7*y
x-1 x+1

ǡդ϶ʤΤǡx-1 x+1 ʤΤǡ

5*7*2 ˻3ο
5*7*2^2
5*2 7*2 ˻Ŀʬ롣

3̤ꡣ

ޤ5*7*2 ˻3οξ硣
5*7*2 *2,*3,*14 13ࡣ
줾Фx 2ढΤǡ2*13=26

ˡ5*7*2^2 ˻3οξ硣
5*7*2^2 *1,*2,*3 ʤ⡢3ĤȤޤޤ롣

ˡ5*2,7*2 ̡˻ĤȤϡ
x βϡ餫ˡ19
Ĥޤꡢx-1,x,x+1 ¤Ӥϡ..0,..1,..2..8,..9,..0 ˤʤäƤϤ
..0 5*2 顢..2 ..8 7ܿ

..2 ΤȤ100a+10b+2=7y Ĥޤꡢ2a+3b+2=7z ǡa=1~9 ΤȤμbФ褤
(a,b)=(1,1),(1,8),(2,5),(3,2),(3,9),(4,6),(5,3),(6,4),(6,7),(7,4),(8,1),(8,8),(9,5) 13
..8 ΤȤ100a+10b+8=7y Ĥޤꡢ2a+3b+1=7z ǡa=1~9 ΤȤμbФ褤
(a,b)=(1,6),(2,3),(3,0),(3,7),(4,4),(5,1),(5,8),(6,5),(7,2),(7,9),(8,6),(9,3) 12
=26+13+12=51

ߤʤΤߤٶޤOrz
427ʶ 16:52:32 29782
⡼ޥ
#29756,#29757
uchinyanBossF󡢤٤ʤޤ
ʬ䤹ꤢ꤬ȤޤOrz
427ʶ 17:01:52 29783
ʤ
#29783 ¾

ߤοޤǤ
http://www.geocities.jp/naka_sansu/answers/sq0427.gif
;͵Ǥ͡
427ʶ 17:49:32 MAIL:naka@sansu.org 29784
ʤ
#29784
ߤޤ󡣢ľ󥯤ϤϤͤ褦Ǥ
http://www.geocities.jp/naka_sansu/answers/sq0427.gif
գң̤֥饦Υɥ쥹˥ԥڤȹԤޤ
427ʶ 17:55:33 29785
⡼ޥ
#29785
ʤء
ʿޤ򤢤꤬ȤޤOrz^^v
427ʶ 19:16:05 29786
⡼ޥ
#29772
錄ˤϤtlΡˤ֥ޡȤŨȻפޤOrz
427ʶ 23:52:00 29787
ʸ
Ϥ褦ޤ
430ʷ 7:19:31 29788
JUN
ǽϣdzäƣޤȤäƤޤޤ⤢äǤ
53ڡ 9:40:12 MAIL:jmrtk800@ybb.ne.jp 29790
ޥ
Ϣ³ˤĤơ

Ⱦǯ餤δ֤ʤǤ깹ľΡֲѻˤϢ³ơפʤ¿ʤäƤޤη̡ʤ̾ξϤۤʤΤǤʣͤääˡ˥Сô礭ʤꡢ̤ȤƲѻˤᥤڤꡢ̤礭ƶͿƤޤ..ȤäȤȯ褦ˤʤäƤޤޤ

ϡֻϤޤƴ⥢פȤϹͤƤΤǤСŤʤˤʤäƤޤȤ꤫ʤȻפޤȤ櫓ѤCGIץ˼äޤơʬˣ̤ޤǤǤʤ褦ˤƤޤŪˤϡܥ򲡤֤60ޤǤδ֤ˣƤפˤϡ֤Ф餯ԤפȤȤˤʤޤˤΤϡñʥץߥˤϥȻפäǤ...դοϤ줫βȤʤޤʤո򤦤йǤ

Ȥ櫓ǡߤ⤹Ǥ˱ѤƤޤιˤϤ⤷Ȳ¤ˤäȯߤϸĤäƤʤХȯƤǤ򤪤뤫Τޤѿޤ󤬡ʤˤȤƼϤйǤ

ηˤĤޤơոˤϤθʤǼĤǤȯйǤ
PowerBook 55ڡ 20:39:20 MAIL:masaru-y@sansu.org HomePage:29791
ޥ
ɵ
Ϣ³ˤĤƤǤְ̤Żҥ᡼륽եȤѤϢ³פɤȤǤޤ󡣤СͿ٤ϤɤˤƤƱǤΤǡϤ̣Ǥ⡢֣ʬˣ̰ʾƤ̵פȤȤˤƤޤm(__)m


ޤޤǤΡϢ³١פǤˤޤ¿Ȥȣ١ʣͤȤͤȤǤοǤˤ򹹿壵ʬ٤δ֤Ƥ㤬ޤϡᥤٱȤСΥ쥹ݥ󥹤٤ʤʡŤʤˤȤäȤȯƤޤСȤ⤢ΤǤȤ⤫ޤʤʤ񤷤Τ..Τ褦ʷǤнܰդǤϤʤΤǤ...ۥȤߤޤm(__)m
PowerBook 56 12:58:32 MAIL:masaru-y@sansu.org HomePage:29792

죳ǤĤ⤪äˤʤäƤȿޤ
λ򤹤Τϵפ֤Ǥ
Υۡڡޤ٤ˤʤäƤꤤޤ
http://wwwa.dcns.ne.jp/~orienteering/link.html
57ʷ 10:04:18 29793
⡼ޥ
ͧͤϤǤ
ˤʻ˰ʤ ^^


3ʾn򾡼Ϳ롣ΤȤʿ̾˼
褦nĤ¸ߤ뤳Ȥ򼨤
Ǥդ2֤εΥ̵ǡɤ3ɬ3ѷĤꡢ
ѤͭǤ롣
58ʲС 22:57:53 29794
missk
ϼꤳޤ
#29774ιͤɤǤ͡
쥪եߤǤڤäǤ?
Ͼγڱࡡ 59ʿ 0:34:15 MAIL:jjyhr530@yahoo.co.jp 29795