Taro
ľPCưʤΤPHSޤ
ɤƤѻڤؤλ֤;פˤäƤޤޤorz
ԤΤϤ졡 129ڡ 0:06:45 33748
ߡ
18ܿǤ뤳ȤϤˤ狼äΤ

ʤ112פ뤢꤬ʤ鿲ܤƤġ
129ڡ 0:08:50 MAIL:amimorisama@hotmail.com 33749
ޥ
괰ۥȤľˤʤäƤޤ򾯤᤮Ƥޤޤ..m(__)m

ΥͥŪˤϡΤˡʤ⤦10ǯ餤Ĺ󤬤Ҳ𤵤ƤΤä褦ʵޤ...äȵ꤫ǤϤʤΤǤ
PowerBook 129ڡ 0:09:43 MAIL:masaru-y@sansu.org HomePage:Men @ Work33750
Ϥʤ
1819ܿ-1ȸ򤷤Ƥޤٶˤʤޤ
129ڡ 0:10:39 33751
SUPER SPECIAL SEMTEX
ǽ顢Ǿ18Ȥ狼äƤʤ95򤿤
18狼ʤäΤȤޤ
129ڡ 0:13:48 33753

Фϡ
ʤȤʤ򤷤ޤ
129ڡ 0:13:58 33754
ߤ
ġࣱ׻ȡΤȤ˾
ˤʤäƳڤ롣󥻥åȤʤΤǡϰϤˤΤϣΤߡ
129ڡ 0:15:12 33756
Taro
18ܿͽۤޤ
ĤȤȤʤΤ108ȷꤷƤޤޤ(^^;
ԤΤϤ졡 129ڡ 0:15:41 33757

Ρʤ18ηΤȤ19ܿˤʤΤǤ
129ڡ 0:17:53 33758
㡼ߡ
1 ĸĤ 18 夺IJäƤפʡȤϤˤ狼äΤǤ
1 17 ΤȤʡäʡȤ֤ͤǤޤޤ
Ǿβ 18 夫 orz
Ȥ礦Ȥ䤯 129ڡ 0:18:32 MAIL:kakuromaster@star.cims.jp 33760

äѤʬʤ

礦ʤ顢ߤ󤵤Ʊ褦ˡɮǤɤɤ󣱤
Ʒ׻Ƥޤ(
ܿĻԡ 129ڡ 0:18:42 MAIL:-⡥󡥣塥 HomePage:33761
Ȥ
basic1000⡼ɤ

for a=95 to 125
let x=8*(10^a-1)/9
if mod(x,19)=0 then print a
next a
end

108ȽФޤ
˭ԡ 129ڡ 0:23:25 MAIL:fttnm528@ybb.ne.jp 33763
CRYING DOLPHIN
18夬ǾȤΤĴ٤뤷ʤΤǤ礦ġ
NdzڤǾϰ̤ˤN-1Ȥʤʤ褦ʤΤ
(ȿ㡧111111101ꡢ101dzڤΤ4夬Ǿ)
ï⤤ʤԳϡ 129ڡ 0:25:33 HomePage:ȤƻȤ33764

CRYING DOLPHIN󡢤꤬ȤޤɤĴپ夲ʤΤǤ͡
129ڡ 0:28:17 33766

ʤ󤫤ꤽʤǤɤͤ

عͧãȹͤƤߤޤ
ܿĻԡ 129ڡ 0:29:29 MAIL:-⡥󡥣塥 HomePage:33767

ͤͤƸޤ
129ڡ 0:32:15 33768
CRYING DOLPHIN
³Ԥǥܤ˴ؤФȤΤǤ
ΤȤmailBBSǤΤȤǤϡ

Nܿ¸ߤʤ顢ǾͤNˤ()
ץĴ٤¤(ϥץȤޤ)Ǥϡ
NȺǾشطϸʤä

ȵϿޤ
ȤȤǡλDzȤС餯
19פȤ˲餫ü򸫤Ĥ뤷ʤ
ï⤤ʤԳϡ 129ڡ 0:45:29 HomePage:ȤƻȤ33769
Ϥʤ
#33758#33761#33765
ʬȤƤⶽ̣ΤʬǰٶƺޤȤޤ
ǾʤΤɤȽꤹ뼰ˤĤƤϡ褯狼ޤʲƤʤȤäʹȤ

ϡ10^n1(modP)ˤʤǾnȯΤƱȤǤ
ȤС10^191 (mod19)ˤʤȡ10^19199999918ˤ19dzڤ뤫Ǥ

ǡn˴ؤưʲΤȤ狼äƤȻפޤ
ʾϥեޡξȤ۴ľηȤΤǤܤʤǤ
nɬpʲǤ
n-1p-1Ǥ
ȤС19ξn=19Ǥ13ξn=7Ǥ
ܤϡ۴ľηĴ٤빽򤤤Ǥ衣7135ʤΤ738äꤷޤʾϡϢwebȤ򤴤󤯤

129ڡ 0:58:11 33770
ڤפɡ
޵
겼Ƥߤ򤽤ʬǤ
129ڡ 0:56:26 33771
Ѥ
1/19 = 0.052631578947368421 052631578947368Ⱦ18̤ޤǽ۴ĤΤǡ
10^n-1n=117ˤ19dzڤʤǤ
֡ 129ڡ 1:04:53 HomePage:33772
ߡ
Ǥ͡եޡκǽܤǻ۴ľΤɤΤäΤǤ(θƥȤ˱ѺѤ)

ȤߤΤäƤƤν̤ȤͤùߤϤʤǤꤤޤorz
129ڡ 1:20:50 MAIL:amimorisama@hotmail.com 33773
ߡ
Τ۴ϡֳΤǤȤΡݣˤʤפȤääȻפޤڤȤ̤Ǥ

ξ18ˤʤޤȤƤϰϤĤˤʤʤΤ()۴18ʤΤǤ礦

ξɮ;ϣ18󤺤ĤʤΤǡ18ΤȤ19ܿˤʤΤϼǤ͡ġ
129ڡ 1:24:34 MAIL:amimorisama@hotmail.com 33774
ߡ
󡩽۴᤬ΡݣǤΤʤ顤Ρݣ¤٤Τdzڤ褦ʵޤ͡ġ

ǤʤΤࡣ
129ڡ 1:28:13 MAIL:amimorisama@hotmail.com 33775
Mr.ǥ
95125ޤǤǧڤʬΤǤήФˤ򤱤äǤ͡

88888819dzˤϡ1111119dzͤФʤʤ
1001Τ褦ʿΤ 100000000119dz뤳Ȥ()ǧ
1111118)111111111(9)1000000001(19*)狼
1111118)֤19dz뤳Ȥ顢18ܿʤ19dzڤȤ
ơ186108 ޤ

#33770ʤۤɡեޡξ͡Ƭ⤫ǤޤǤ
129ڡ 8:52:48 33776
mathematicaȤ
ϵ
For[i = 95, i <= 125, i = i + 1,
Print[{i}, " ", {Mod[8*(10^i - 1)/9, 19]}]]
129ڡ 3:07:33 33777
ϥ饮㡼ƥ
Ϥ褦ޤ

ϰϤʤΤMATHEMATICAǷ׻
129ڡ 4:55:39 HomePage:湩ؤ˥33778
abc
ϡ8ǤʤƤ1,2,3,4,5,6,7,9ȤƤ⤪Ʊ̤ˤʤޤ͡

եޡξ10^181(mod19)19Ф10ΰ̿18ʤΤǡ10^n1(mod19)Ǿn18ǤĤޤꡢ99999ʤ٤Ƥη夬9ˤμΤ19ܿǤǾη18Ǥ
ǡ99999=9*11111ʤ٤Ƥη夬1)顢٤Ƥη夬1μΤ19ܿǤǾη18ȤʤޤΤȤ顢108(18*6)Ȥʤޤ

129ڡ 8:29:44 33779
⡼ޥ
1/19=0.052631578947368421 η֤
10^18*(1/19)=52631578947368421 ʤΤǡ
18ܿdzڤϤ
95<18*5+18=108<125

ǤΤʡ
129ڡ 8:41:34 33780
abcba@jugglermoka
Ʒο٤1ǤNοA_NȤСNN+1ǿʤA_NN+1ܿˤʤޤ.....
129ڡ 8:53:24 33781
ؽ
۴ľ繥Ǥ
缣Ρֵֽס
ɾҡֿȿ޷פʤɤٶƤޤ
οإߥʡΡ֥쥬ȤʲȤפǤ
⤬ޤ
129ڡ 9:19:25 MAIL:kishimotoakihisa@hotmail.com 33782

X=8*(10^n-1)/9
եޡξꡢ
n=18
10^18==1 (mod 19)
(10^18)^6==1 (mod 19)
n=18*6=108
ԡ 129ڡ 9:47:28 33783
uchinyan
Ϥˤϡơϡ
ܸơ֥ץȤ󤸤㤨нʡפȤϻפäΤΡäȤ館ưŻ⡼ɤǡ

ޤ1/19 ʲ 18 ǡ 18 ǡ֤۴ľˤʤ뤳Ȥܤޤ
ϡ¤ȤΤäƤޤȡ
10^18/19 - 1/19 = ()
99...(18)...99/19 = ()
9 * 11...(18)...11 = () * 19
9 19 ϸߤǤʤΤǡ() 9 dzڤơ
11...(18)...11 = (Σ) * 19
88...(18)...88 = (Σ) * 19 * 8
Ĥޤꡤ8 18 ¤ 19 ܿǤ⤳줬ǾǤǤʤ 1/19 18 ̤Ƿ֤ƤޤΤǡ
줬ʬäƤޤиϴñǡ8 18 ܿ¤ 19 ܿˤʤ뤳Ȥꡤ
95 ʾ 125 ʲǤ 18 * 5 = 90, 18 * 6 = 108, 18 * 7 = 126 ʤΤǡĤʤȤꡤ 108 ˤʤޤ
ĤʤȤϡ1/19 18 Ǥ֤ʤȤ餫Ǥ͡

ʤ1/19 ˴ؤμʤȤβˡ̵Ǥ
19 ˲ݤ 8 ¤ֿȹͤС夫缡׻ƷƤаդ˷ޤΤǡŪưפˡ
19 * 46783625730994152 = 888888888888888888<----- 8 ¤ӤθĿ 18
ȵޤꡤ줫Ǥޤ͡
ͥνȡ 129ڡ 11:54:16 MAIL:uchi@sco.bekkoame.ne.jp 33784

#33784
(19)=18 Ǥ͡
ԡ 129ڡ 12:27:11 33785

ǯ
/
۴Ĺϡ
ԡ 129ڡ 12:59:15 33786
uchinyan
ǼĤɤߤޤ
Ψ⤤ִñפȤ¿ȻפäΤǤפΤۤϫƤ褦Ǥ͡

ɤʤ񤫤Ƥޤ΢ˤϡեޡξȻפޤ
ϻϰϤĶ롤¿ʬ⹻Ǥ̤ϽʤΤإ٥롩ΤǤ㴳äƤޤ礦

եޡξȤϡ
p ǿȤa p ȸߤǤȤȤa^(p-1) - 1 p dzڤ롣
ȤΤǡˤƴŪΰĤǤ
Ʊ¸Τϡ
a^(p-1) 1 (mod p)
ʬ䤹Ǥ礦
Ϥۤ񤷤ʤǤWebõФǤ⸫ĤȻפΤǡάޤ

Ǥϡp = 19a = 10 Ȥơ
10^18 - 1 = 19 * ()
Ƚ񤱤ޤ
줫顤#33784Ʊ褦ˤơ
99...(18)...99 = 19 * ()
9 * 11...(18)...11 = 19 * ()
9 19 ϸߤǤʤΤǡ() 9 dzڤơ
11...(18)...11 = 19 * (Σ)
88...(18)...88 = 19 * (Σ) * 8
Ĥޤꡤ8 18 ¤Τ 19 ܿˤʤ뤳Ȥʬޤ
ϡ줫顤18 ܿ 95 125 ϰϤΤΤõФǤ

ϤɤʤŦʤäƤ褦ˡ⤷ 18 q 18 ǤʤΡ2 Ȥ 3 Ȥǡ
10^q - 1 = 19 * ()
ȤʤäȤȡƱͤˤơ8 q ¤Τ 19 ܿˤʤäƤޤޤ
¤ϤΤ褦ʡa q 褷 p dzä;꤬ 1 Ȥʤ褦 q a ΰ̿ȤȤޤ
äˡ̿ p-1 ΤȤĤޤꡤa p-1 褷ƽ p dzä;꤬ 1 Ȥʤ褦 a p ˡȤ븶ϺȤޤ
¤ϡ10 19 ˡȤ븶ϺˤʤäƤޤϡºݤ˥ץʤɤǷ׻Ƥߤʬޤ
ơ֣ĤʤפȤȤϡɡ10 19 ˡȤ븶ϺǤ뤳Ȥ餤뤳ȤǤ
ǰʤ顤ϺΰŪʤޤΤƤ餺ºݤ˷׻Ƥߤ뤷ʤ褦Ǥ

ʤեޡξˤ뤳äȽ۴ľν۴ĹȤδطϡ#33784μʤɤȸ٤СۤȤ餫Ǥ礦
ͥνȡ 129ڡ 13:09:46 MAIL:uchi@sco.bekkoame.ne.jp 33787
ֿء׾ι
ץǤեȤϥե꡼Ȥޤ

ޤϡĤRisaAsirǡ

for(I=95;I<=125;I++){N=(10^I-1)/9*8;if(N%19==0) print(I);}

Ĥϡxmaximaǡ

for i: 95 thru 125 step 1 do(n:((10^i-1)/9*8),if mod(n,19)=0 then display(i))$

Τۤե꡼ΥեȤǤʤȤǤΤ¸϶ƤäƤ⤷Ȼפޤ
129ڡ 13:36:57 33788
kasama
#33788 pari/gp
for(i=95,125,n=(10^i-1)/9*8; if(n%19==0,print(i)))
ҡ 129ڡ 13:54:56 33789
ֿء׾ι
#33786
ץǶ̤ǤRisaAsir ѡʡ

R=200000%31831;K=R;
for(I=1;I<=31831;I++){
K=(K*10)%31831;
if(K==R) print(I);
}

ǡȽФޤǤǤ
129ڡ 13:58:56 33790
ֿء׾ι
#33789
꤬Ȥޤ
ϡñɽǤ͡äɤƤߤޤ
129ڡ 14:01:47 33791
uchinyan
#33786
䣲/
۴Ĺϡ
5244 Ǥ礦
դ򥪥顼ؿȤ (31831) Ĵ٤ФǤɤΤߤѤʵΤǡץȤ󤸤㤤ޤ (^^;
ǯϡ򤢤äȤ֤˲򤤤Τʤ
ͥνȡ 129ڡ 14:11:23 MAIL:uchi@sco.bekkoame.ne.jp 33792

#33790
Ǥ
ԡ 129ڡ 14:12:41 33793
ֿء׾ι
#33789
꤬Ȥޤ
ϡñɽǤ͡äɤƤߤޤ
129ڡ 14:12:52 33794
???
basicǤ
OPTION ARITHMETIC DECIMAL_HIGH
LET n=0
FOR j=1 TO 125
LET n=n*10+8
IF j>=95 AND MOD(n,19)=0 THEN
PRINT j
END IF
NEXT j
END
129ڡ 14:13:13 33795
ֿء׾ι
#33794
ƤУңɡǣФǤäƤߤޤ

r=2;for(i=1,31831,r=(r*10)%31831;if(r==2,print(i)))

ǡФޤ
꤬Ȥޤ
129ڡ 14:53:18 33796
ֿء׾ι
#33795
꤬Ȥޤä󥹥ȡ뤷Ƥߤޤ

OPTION ARITHMETIC DECIMAL_HIGH
LET r=2
FOR j=1 TO 31831
LET r=MOD(r*10,31831)
IF r=2 THEN
PRINT j
END IF
NEXT j
END

ǡФޤ꤬Ȥޤ
129ڡ 15:14:16 33797

եޡξǤˤۥ鸫Ǥ͡ʾȤ櫓ǤʤȤäƲ򤱡ߤʡ
129ڡ 17:24:41 33798
???
ĤǤubasicǤ
10 N=0
20 for J=1 to 125
30 N=N*10+8
40 if and{J>=95,N@19=0} then print J
50 next J
60 end
129ڡ 18:16:17 33799
ֿء׾ι
#33799꤬Ȥޤ
ɤ줰餤ΤǤ礦ۤȤˤǤ
ɡषƻȤäƤߤޤ⤷ʡ0
129ڡ 18:56:16 33800

եޡΤʤʤϻʤΤ̤˲򤤤ǤɤʤƲ
130ʶ 18:59:13 33801
ϥ饮㡼ƥ
#33801

ȤʬοؤäơˤĤƸ򤷤̤ˤΤ󤢤ޤ

Ωʤߤ˸ƤΤǤԥ塼ȯãˤä
Ź沽䥳ԥ塼ݸʤ礤ΩĤȤ狼äƺǶ֡Ǥ
ʬǤͤξ;ʤɤïȯϤ狼ʤΤǤ
Ź楷ƥθֹʤɤμפǤ

ˤʤäƤޤ󤬡ΤꤿȤϥեޡȤƸФ
ޤѤʤ᤿ʤΤۤΤȻפޤ

131ڡ 9:27:49 HomePage:湩ؤ˥33802

ؤϲʳؤνϿؤνʤʥθա
131ڡ 16:26:04 33803
ϥ饮㡼ƥ
ʬؤʤɤäȾοؤǾʤФʤʤǤǿؤβͤϡ
131ڡ 16:37:14 HomePage:湩ؤ˥33804

ֽפȤϡפ̣ΤǤ顢ΤǤ衣ͤϲ̣Ǥ礦
131ڡ 16:55:32 33805
ϥ饮㡼ƥ
ʤ鲦ͤƤʤȻפޤλϿؤˤʬʤñäȻפޤ
ޤΤʤ˥塼ȥˡ§¤Ȼפޤŵؤ¤Ȼפޤ

ƣ 󥬥ޤơʿؼԤ̾פФƤޤ
λϿؤʪζ̤ϤʤʪȲؤȿä
פޤͭ̾ܤοؼԤʤؤʤΤȤ餫줿ȥƥӤǸäƤޤ

ŵؤͭ̾ñ̤ŵؤǤϥ饰󥸥ʤ¿οؤ
ФƤޤʳؤϤȤȰĤȻפޤǤˤʤäʬ⹻βܤΤ褦
ʬޤǤüθϤϤ⹻βܤΤ褦ˤ狼Ƥޤ
ʪؤⲽءʪŵؤΤޤʬҤΥ٥Ǹ椵ƤޤγҤθ
ؤθѤʤ褦ʻǤ

ͤ˲urlդޤ

http://www.math.tsukuba.ac.jp/college/door/mathmatics-physics.html
131ڡ 17:40:53 HomePage:湩ؤ˥33806

ΤǤξħ餳ȤʸޤΤǤäơ

ǤϡͤϲξħȤ뤫
131ڡ 17:53:50 33808
ϥ饮㡼ƥ
ߤʤΤǤɤ̣Ǹ줿ϤäꤷʤȻפ
ΤοͤäΤǺǤϿȤϸʤȻפ

#33743
ƱˤʤΤǤǻߤޤ

ʳؤϰĤΤΤǤäȤȰʳͤεϻߤޤߤοزʤ´ȸܤ
츫ƿزʤǤ뤳Ȥ˺褦Ȼפޤ

131ڡ 19:11:12 HomePage:湩ؤ˥33809

ֿؤνפȽҤ٤Ƥ뤬Τˡ
ͤϤ⤷ơֿءס

ʤ櫓ʤ
131ڡ 19:15:08 33810
ϥ饮㡼ƥ

ֿؤϲʳؤνˤפȤܤƤ褦ǡ

131ڡ 21:07:49 HomePage:湩ؤ˥33811

ʤǤ
131ڡ 21:24:05 33812
ϥ饮㡼ƥ

ζӤ¿¿͡ʬۤGaussian DistributionȸƤФ졢Ǿˡʤ
ѿؤˤƻ򳫤Ƥ롣񤤤ϽȸäȤ
ޡˤ⤿ƤȤˤʤꤽ˶ӤäΤϤषοؼԡ
ŪϻϼԤߤϻϼԼȤֿϽפȸƤΤ򤤡
οͤȸ褦ʵ⤹롣ФäƿؼԤˤʤä
ȸäƤ

131ڡ 21:43:11 HomePage:湩ؤ˥33813
λȼ
פ֤ǤޤޤХƥХƤǤ
Ϲʿ޷äΤǤϤȤϿԤƤޤäƤޤ
äȺҤ׻Ƶޤ۴ľä򤤤Ǥ͡
ϲˤ⡢ФƤޤ͡
/ν۴ľġ
Сǡλ֤Ǥ͡
ǤϤޤ
zerostar 131ڡ 21:48:24 33814
pao
äȥץˤʴǤϤɤǤ礦
Τģᣱ
ߤΤȤ

ȣϸߤǤǤ뤳Ȥʲͳ˻Ѥ
ä;ϣǽ۴Ĥ

󲽤ơġģʣη
ФƬˡĤ
ġģʣη
ͤϡdzڤΤȤƹͤ
ΡᣱƳ
ȤϳƱܿõ
ץǤ褤ȻפΤǤǤ
131ڡ 23:57:24 33815
ʤä
ϤƤ⤷ޤ

ꡢˤϤɤƳΤ褤ΤǤ礦

Ϥꡢ;ܤ
119=011101=11
1119=01111101=111
11119=51616101=161
16119=

ȡڤޤǴĥä㤦Ǥ礦͡

21 16:39:03 33816
o
˽Ф餪
ǤѤ錄ϡΨ礭ޤ
ȤȤäƤäƤ᤿
21 17:47:23 33817
Ф
դƤ꤮ˤʤäƤդȤ뵤ˤʤꡢä줿
1/1910^18ܤƤ;ϰ(PCΥ꡼dzǧ)((10^n)-1)/9ʤΤn18ܿˤʤȤųݤǤ

22ʷ 0:03:09 33818
Ф
٤ʤߤǤͷӤƤ
http://blog.goo.ne.jp/akeot/
Ͼ꤬Ȼפޤ
22ʷ 0:07:01 33819
ߤ
#33816ʤä

ν񤭹ߡ#33756ˤǤϤʤüޤäƤޤġࣱ
ޤ׻ΤǤ礦ܤΣǾ
ȤʤäƳڤޤȤȤϣܤΣξˤϣܤ
ܤΣξˤ⣴ƱͤˤäƤ櫓Ǥ
ȤϤη֤ʤΤǡܿ¤֤Ȥ˳ڤޤ

껻³ȤΤϤäȼ֤ǤŪ˲򤯤ˤ
줷ʤǤ礦
22ʷ 23:28:02 33820
ϥ饮㡼ƥ
۴ľǤοإߥʡϡΩɤߤʤΤǤ褯ФƤʤ
۴ľν۴ˣ飹ƱĽФ礬Ǥ쥬Ȥʲ
ΥڡǤ쥬ȤɤǤϤʤ򤯤Τ񤷤ΤΥڡ
´ǤϻκǸθơޤǤ륦֥åȤˤĤƤǤ
ޤƤΤȤ⤷ޤؽ鿴ѤȻפǼ⤷ޤ

23ʲС 6:34:11 HomePage:湩ؤ˥33821
ϥ饮㡼ƥ
#33821

۴⤦ΩɤߤƤޤDzܤäƤޤ

ȤΤϻˤʤˤΤǼΤ褦ˤޤ

Ȥޤ1/pν۴ˤϣ飹ޤǤοƱ٤ǸȤ
־衣

˾񤭤ޤ
23ʲС 15:51:01 HomePage:湩ؤ˥33822
uchinyan
#33822
ϤʤǤp = 61Ĥޤꡤ1/61 Ǥ礦
ͥνȡ 24ʿ 8:17:19 MAIL:uchi@sco.bekkoame.ne.jp 33823
ϥ饮㡼ƥ
#33823

Ǥ
10dz۴ĹǤ־ΤǤʥץdzΤޤ

Ǥ⤹٤Ƥ10dz۴ĹǤϤʤ褦Ǥʾ򻲾Ȥƥץdzǧ


ǿϼĤξȤޤ

1)ν۴Ĺϣ-Ǥ롣
2)ݣϣdzڤ롣

ΤȤν۴ˤϣ飹ޤǤοƱ٤Ǹ뤳Ȥ衣
ʤƿ(p-1)/10ĤŤĸ뤳Ȥ

줬إߥʡΥ쥬ȤʲǤϤäѤ狼Ǥ
۴Ĺܿ餫Ǥޤʳο⤢뤳ȤϻʿˤǤ
ʬˤʤǤ顣

24ʿ 12:52:12 HomePage:湩ؤ˥33824
uchinyan
#33824
إߥʡ󼨡꤬Ȥޤ񤷤Ǥ͡
Ϳ줿狼顤ΥեޡξäǽҤ٤ 10 p ˡȤ븶ϺˤʤäƤꡤ
1 p-1 ;꤬٤ƸΤ褦Ǥ
츫Ǥϡθ夬ҤᤫʤǤ (^^;ˤʤȤˤǤͤƤߤޤ

ϥ饮㡼ƥϡp ǿǤϤʤ(Ǥ)ʤΤǡեޡξǤ̵ǡ
ĥ顼ȤȤˤʤ褦Ǥ
ܺ٤Ͼʤޤȡ۴Ĺ餫 10 ܿˤʤ뤳Ȥ򤦤ޤȤȡ
p 10n+1 ǿޤ˹ʤ褦ǡޤǤϰŻ
ˡ򸵤˺Ǹ϶ȡץࡤĴ٤ޤ
쥬ȤǤϤʤǤ

ˤ衤۴ľϱǤ͡
ͥνȡ 25ڡ 12:42:39 MAIL:uchi@sco.bekkoame.ne.jp 33825
ϥ饮㡼ƥ
uchinyan

꤬ȤޤοإߥʡˤϲФƤޤ۴ľ
ʤФ¿褦ǤʤǤ礦ϴñˣˡѤ
Ǥ礦ǤƤʤ褦Ǥʻ
24ʿ 17:04:01 HomePage:湩ؤ˥33826
uchinyan
#33824
إߥʡꡤ餫ʵƤޤ㤤ƤΤʡ

ޤ۴ 0 9 10 ĤοΤ顤p >= 11 Ǥ
ޤ1p η׻ǽФƤ; 1 p-1 ٤Ƥޤ
ϡǤʤС۴᤬ p-1 ˤʤʤǤ
ȡ껻η׻ꡤФƤ; 10 ܤ p dzäƤΤǤ
1 p-1 κǽ 1 a ޤǤ 10 ܤ p dzäο 0 ΤϤʤΤǡ10a ;ǡ10a <= p-1 ȤʤäƤϤǤ
ǡa <= (p-1)/10 Ǥp-1 10 ܿʤΤ (p-1)/10 Ǥ
ޤa ϡʤ;ʤΤǡa = (p-1)/10 Ǥ
ǡ
1 a = (p-1)/10 -10/p-> 10/p 10a/p = 1 - 1/pο 0
a+1 = (p+9)/10 2a = (2p-2)/10 -10/p-> 1 + 9/p 2 - 2/pο 1
2a+1 = (2p+8)/10 3a = (3p-3)/10 -10/p-> 2 + 8/p 3 - 3/pο 2

9a+1 = (9p+1)/10 10a = p-1 -10/p-> 9 + 1/p 10 - 10/pο 9
ȤʤꡤĤν۴˸뾦ο 0 9 a = (p-1)/10 ĤĤˤʤޤ
ͥνȡ 24ʿ 17:05:21 MAIL:uchi@sco.bekkoame.ne.jp 33827
ϥ饮㡼ƥ
uchinyan

Τ褦ǤǤ⥨쥬ȤˤȤΤǤ񤤤ƤߤǤ޽ۤ
ԡȺǿʤΤǤǤޤʹߤˤʤХԡǤ뤽Ǥ

¤ϹɤƤʤơΩɤߤ޽ۤǤϥ֥åȤʤΤäƤߤޤ
ʳؤȿإߥʡϰɤ褦ˤƤޤƤפʤä褦Ǥ
24ʿ 17:48:38 HomePage:湩ؤ˥33828
uchinyan
#33828
䤽Τ褦ǤǤ⥨쥬ȤˤȤΤǤ񤤤ƤߤǤ
Ǥ֥͡쥬ȤˡפǤ (^^;餷ޤ

ϿʳؤȿإߥʡϹɤƤΤǤǶϡŻ㤦ΤɤޤʤʤäƤޤޤ
ޤɤǤߤ褦ʤ
ͥνȡ 24ʿ 18:20:39 MAIL:uchi@sco.bekkoame.ne.jp 33829