Taro
1122뤳Ȥᤤ˵Ťޤʸμο
ְ㤨ƤޤäꤷƤޤorz
1110ڡ 0:07:59 26121

1122¸ߤ˺Ƥޤorz
̤̪ 1110ڡ 0:09:41 MAIL:ishizaki@qa.so-net.ne.jp 26122
ȥȥ
1126314718920105168421˽ФƤ15Ĥ
112217ĤǤ͡ߤޤʤƤޤ
ʼ˸лԡ 1110ڡ 0:09:48 MAIL:h-sakai@zb3.so-net.ne.jp 26123

ȥȥƱȯۤΤ12ʬäƤޤ轵ϥ٥ޤ
http://gtrambler815.blog9.fc2.comǥȤ˰ܤޤΤǡΤۤ⸫ƤäƤ
1110ڡ 0:18:28 26124
shin
򣲲Ƥޤޤ
̲Τʡ
1110ڡ 0:26:59 26125
ޥ
졢ˤ顢礢ǯФʴޤ󡩡ʤȤϤι

Ϥȡκݤˡ񤯤٤ɤפϤä¤ޤäƤפкǸޤǽ񤫤ʤƤɤäߤǤɬפʤäǤ...
PowerBook G4 1110ڡ 0:35:55 MAIL:masaru-y@sansu.org HomePage:26126
⡼ޥ
׻Ƥߤȡ111ϲǽ
ȤȤϡδ11­ǽ
Ĥޤꡢ112231445166718892010112217ġ
ǤΤˤϤɤ
1110ڡ 0:37:31 MAIL:kennji72001@yahoo.co.jp 26127
holden
Ŀ˺Ƥޤ
1110ڡ 0:39:06 26128
ͣ򡥥ɥɥɥ
ǽ顢դ褯ĤޤǤʡ
䣱䣷䣱䣹䣲䣱䣵䣱䣸䣴䣲䣱䣱䣶䣳ΥǡοϡȤο뤳Ȥ狼ޤ
ǤϡΥˤʤϡ䣲䣱ȤäƤޤ
ϡ䣲䣱䣶䣱䣱䣶Ȥʤޤ
ޤ
ȡ˺줽ˤʤäϡ䣱䣲Ȥޤ
ΥΣĤȡιףĤȵޤ
1110ڡ 1:23:47 MAIL:qqmz48pc9@alpha.ocn.ne.jp 26130
ᵯxϤy
n11­碌ȶˤʤꡢ2dzän>11+11ΤȤ
n˾ʤ롣Τ򷫤֤Ƹο뤿ˤ
n22Ǥɬפ롣n<0ΤȤˤäͤΤȤñĴ
áˤʤʤŬ
Ȥϡʸ˽ФƤʳ1n22ޤǤοϤߤĤ֤
1110ڡ 5:33:24 26131
⡼ޥ
nλϡn/2Ϥʤʤ
n/2+11=n,ϡ(n/2+11)/2+11=n,
ǽμ顢n=22,n=22,

nλn=(n+11)/2,((n+11)/2+11)/2,
ǽμ顢n=11,11,

餫顢κϡ22,κ11Ȥ狼롣
褬ʤ
1110ڡ 8:38:33 MAIL:kennji72001@yahoo.co.jp 26132
ϥ饮㡼ƥ
Ϥ褦ޤ

ץǤϳΤʤϤǤץ
򤭤ޤ
̶彣 1110ڡ 9:09:34 HomePage:ĩ26133
uchinyan
ϤϤ褦ޤǤ
ˤϤʤäƤޤ󤬡ľŪˤϡΤ褦ʴ17 Ĥǧڤޤ (^^;
n ΤȤϡn+11 ϶ʤΤ (n+11)/2 ˤʤޤȤn > 11 Ǥϡ(n+11)/2 < n ʤΤǡɬǽ꾮ʤޤ
n ΤȤϡ餫ˡn/2 < n Ǥ
ɡn > 11 ΤȤϡɬǽ꾮ʤޤޤ
3 - 14 - 7 - 18 - 9 - 20 - 10 - 5 - 16 - 8 - 4 - 2 - 1 - 12 - 6 - 3
Υ롼פȤƼƤ뤷
11 - 22 - 11
餫ʤΤǡɡʳϡΥ롼פäƤȴФʤʤΤǤϡȻפޤ
ȤƤϡʳΥ롼פʤȤ򼨤ʤȤʤɡϻ֤ʤ񤷤Τʡ
ͥνȡ 1110ڡ 11:24:58 MAIL:uchi@sco.bekkoame.ne.jp 26134
ʤ
롼פ˸ǾοȤ롣ϤǤ롣
äơμϣܣμϡʣܣˡȤʤ롣
ϥ롼ǾʤΤǣʣܣˡäƣ壱Ǥ롣
ĤޤꡢϡΤ줫Ǥ롣

飶Ĥθ̣ȡ
ޤŬ
ˡΣϣޤ롼˸줿ΤǺǾοˤʤ줺ŬǤ롣
ǸˡŬ

ʾ塢롼פϣ¸ߤ롣դϡ
ǾȤ롼׾ˣġǾȤ롼׾ˣġ碌ƣĤ롣
1110ڡ 9:54:31 MAIL:naka@sansu.org 26135
uchinyan
#26134
ȤƤϡʳΥ롼פʤȤ򼨤ʤȤʤɡϻ֤ʤ񤷤Τʡ
ϡۤߤ˴ñǤפˡ
٤Ƥμ n ϡդˤäơ3 ޤ롼 11 ޤ롼פ롣
Ȥ򼨤OKǤ#26134Ǵ˾ϽäƤȤäƤ⤤Ǥ
Ȥϡ㤨СŪǼˡȤäƼΤ褦ˤФǤ礦
ޤn ξ硢ˤʤޤ 2 dz뤳Ȥ򷫤֤Ȥˤäƥ롼פ뤳ȤϤʤξ˵夷ޤ
n ξ硢n <= 11 ΤȤϡ3 ޤ롼 11 ޤ롼פäƤΤǡ餫
n >= 13 ξ硢n-2 ʲδΩȲꤷޤȡn-1 ϶ʤΤǡβ n-1 ʲΩȤOKǤ
ȡξ n+11 Ƕˤʤ (n+11)/2 Ȥʤޤn >= 13 Ǥ (n+11)/2 < n ʤΤǡ
Ǽˡβˤäơ(n+1)/2 ϡ3 ޤ롼 11 ޤ롼פޤ
n -> n+11 -> (n+11)/2 Ǥϥ롼פʤΤǡɡn 3 ޤ롼 11 ޤ롼פޤ
ǡǤޤ
ʤͭ̾ʥåͽۤפФޤ
n n -> 3n+1, n n -> n/2 򷫤֤ȡ٤ơ1 ˤʤ롣
ξϡ(3n+1)/2 = n + (n+1)/2 ʤΤǡñ˸뤳ȤϤʤʤ񤷤ʤޤ
ϡξ n η 1 ʤΤݥȤǤ͡
ͥνȡ 1110ڡ 10:57:49 MAIL:uchi@sco.bekkoame.ne.jp 26136
uchinyan
ʸϡּפǤϤʤơפǤͤ͡ʤȤʤ
Ǥ⡢n < 0 ξϡ餫ˡn < n + 11, n < n/2 ʤΤñĴäǡ١ˤʤˤʤ顢롼פϤʤ
ǡξ˵夷ޤ͡
ȡ#26136
䵢Ǽˡβˤäơ(n+1)/2 ϡ3 ޤ롼 11 ޤ롼פޤ
Ρ(n+1)/2פϡ󡢡(n+11)/2פδְ㤤Ǥ
ʤǼɤߤޤ
n < 0 äϡ#26131 ᵯxϤy
n<0ΤȤˤäͤΤȤñĴ áˤʤʤŬ
ǡn < 0 ˺Ƥ뤳Ȥ˵դޤŦ꤬Ȥޤ
#26135ΤʤξñǤǤ͡
#26126
䤳졢ˤ顢礢ǯФʴޤ󡩡ʤȤϤι
ȤƤϡʤȤ⤳ΤޤޤǤϡ˰פΤǤϡ (^^;
ͥνȡ 1110ڡ 13:48:08 MAIL:uchi@sco.bekkoame.ne.jp 26137
粬ҹ
ޤʡ
뤫㼨ƤƳƻĤõäƴʡäȻפäǤϳʤȻפǤޤäΤδְ㤨ǤƤϤޤǤʡ
ȤƤʤʤʤΤǡǺǤޤäǤʡ
1110ڡ 11:35:42 MAIL:toshi009@land.hokuriku.ne.jp 26138
ߤ
ޤǤοǻƤ뤦ˤʤȤʤ֥롼פƤʤ
ɤǥ롼פäƤƽФʤʤפȤݤϤäΤǡ
̤꤬Ĥäǧڡ

Ǥ⡢äƾʬ䤹֣İʳˤʤפȤ򶵤Τ
Ѥʤ褦ʡġ
1110ڡ 11:49:47 26139
Ȥ
Ϥޤ
n >= (n + 11) / 2 + 11 ˳ n פȤơ133ϲǸƤƤޤʤβǤ
ϡ-11ϤǤʤȤˤʤäʤäΤǾʤޤθɤäǤ礦
Ǥϡޤ
1110ڡ 12:02:06 26140
M.Hossie
ˤϡĶפǤסˤΤƤߤޤ
Ф㼨줿롼פοȣʳˤϤʤľޤȤϹͤƤʤǤǤ͡

ޥ뤵ˤϤäޤǯDzҼΤѤä̳ƻ (ADK) ϩˣΣϢ٤ϱعԤȤˤޤϤĤǯޤҶǤǤޤǤܤˤäΥĥ󥪥å (DHC-6;) ǤöϡֽԽפȤƥСեȤäơǯѻߤޤäƤ YS-11 ˾ʡἯޤΣˤ DC-10 ѻߤޤ夬㤷Ǥ͡
˿ϡ 1110ڡ 12:23:47 26141
NV
˻ǡʤ飱äƣܡʤ飲dz롣
򷫤֤ȡɬΥ롼פˤʤȤΤɤǸΤǤϡɤʤΤäǤ礦
1110ڡ 14:40:25 26142
uchinyan
#26142
n = 1 ǡ1 -> 2 * (1+1) = 4 -> 2 -> 1 ǥ롼ס
n > 1 ʤǡn -> 2(n+1) -> n+1 > (n+1)/2 顢(n+1)/2 < nĤޤ n > 1 δϤ٤ 1 Υ롼פޤ͡
n ϡn/2 < n ǡĤϴ˵夹뤫顢餫Ǥ͡
ͥνȡ 1110ڡ 17:59:36 MAIL:uchi@sco.bekkoame.ne.jp 26143
Chiba
ţǷ׻Ƥޤ񤷤ʤΤǤߤĤ֤®ʤΤ
롼פ줤˸Ƥޤ
βǤʤȤʤޤ
1111ʶ 1:33:42 26144
⡼ޥ
طʤɡץ
ͧͤ
μߤnͤꤻ
133^5+110^5+84^5+27^5=n^5
1111ʶ 10:59:24 MAIL:kennji72001@yahoo.co.jp 26145
?????
#26145
144
1111ʶ 17:30:51 26147
uchinyan
äȤ̲Ƥߤޤ
n n -> n + c, n n -> n/2, n ϼc ϰ̤˴
ξκεߤθĿϡǼĤν񤭹ߤ褯ɤСc ʲδ 2c ʲζʬΤǡ
(3c + 1)/2 ĤǤ뤳ȤưפʬȻפޤ
ĿŪˡɤʤȻפäΤϡǤϤʤơǤ롼פοǤ
§ΤʡȻפäƾͤƤʬ餺ץĴ٤Ƥߤޤ
˻Ȥäɤ perl ǤΤȤǤ

$n = 100; @q = ();
for($c = 1; $c < $n; $c += 2) {
@p = (); $cnt = 0;
for($i = 1; $i <= $c; $i += 2) {
$f = 0;
foreach (@p) {
if($i == $_) {
$f = 1; break;
}
}
next if($f == 1);
$a = $i;
do {
push(@p,$a);
if(($a % 2) == 0) {
$a = $a/2;
}
else {
$a = $a + $c;
}
} until($a == $i);
push(@p,'B'); $cnt += 1;
}
print "n -> n+$c, n -> n/2, Case : \n";
$m = @p - $cnt;
print "Number of Loops : $cnt\n";
print "Numbers in Loops : $m\n\n";
push(@q,$cnt);
}
print "Sequense of Loop Number : \n@q\n";

̤ϡ1 <= c <= 99 ǡ
1 2 2 3 3 2 2 5 3 2 6 3 3 4 2 7 5 6 2 5 3 4 8 3 5 8 2 5 5 2 2 13 7 2 6 3 9 8 6 3 5 2 12 5 9 10 14 5 3 8
Ȥʤޤ츫ε§ʤǤ
ϤꤳȤä򤤤ȤϤʤȻפäΤǤǰΤο󥵥ȡ
http://www.research.att.com/~njas/sequences/
Ĵ٤ȤȡID Number: A081844 Ǥ褦Ǥ

ID Number: A081844

Name: Number of irreducible factors of x^(2n+1) - 1 over GF(2).
GF(2) x^(2n+1) - 1 δ(¿༰)ο
Comments: Also number of nonisomorphic "pure" chain rings with certain parameters.
ѥ᥿Ʊʡֽ衩Ϣġο(Ŀ)Ǥ⤢롣

ؤͽμΤʤˤϥץ󥫥ץʤΤǤGF Ȥϡ֥ΡפΤȤ餷
ȤäȤĤʤäƤǤ礦Ϣʸˤϡʱ߶ä⤢褦Ǥ
ޥ뤵ޡʤޡϢγ͡¸ΤǤ礦
¸ʤС̵뤷ƤѤߤޤ
ͥνȡ 1111ʶ 18:11:17 MAIL:uchi@sco.bekkoame.ne.jp 26148
uchinyan
ĤǤȤäƤϲǤ^^;
⡼ޥ󤵤#26145ϡ#26147ΤȤꡢ144 Ǥ͡
ˡ󡢥ץࡪ
ޤƸȡդ 6^5 ˤĤȤϤʬΤǡǤǤޤ (^^;
դ򤦤ޤѷǤΤʡ
ͥνȡ 1111ʶ 18:20:23 MAIL:uchi@sco.bekkoame.ne.jp 26149
tapu
ϲ򤱤ޤˤȤϤäɤäƽФƤΤǤ礦Ƥ
1111ʶ 18:45:56 26150
⡼ޥ
#26147,#26149 uchinyan Ǥ

ͧͤβ
mod 2Ǻդ1+0+0+1=20
mod 3ϥϥ 1^5+(-1)^5+0+00
mod 5ϥϥ (-2)^5+0+(-1)^5+2^5=-44
än^52,3ܿ5dz4;
̤k^5kmod5ˤǤ뤫nȤ5dz4;
ޤ2,3dzڤ
än=24+30m
133򤳤Τ144,174,..
174^5=133^5*(174/133)^5133^5*1.3^5
133^5*3=133^5+133^5+133^5
>133^5+110^5+(84+27)^5
>
äƲǽΤ144ΤߤǼºݤ˳Τ
Ǥ뤳Ȥ狼롣

k^5k (mod 5) äΤäƤޤʥեޡξ
Ǥ⡢ˤϻפĤʤǤͤ
1111ʶ 23:02:50 MAIL:kennji72001@yahoo.co.jp 26151
sin
>>NV
֤󥳥åͽۤǤ̤ͭ̾͡ߤǤ
ξ3ܤƣ­ϣdz롥
⤳˻Ƥ뵤ΤǤ

Ͽ˴ؤƤʬʤΤǡ
طʤǤ鿽ޤ
1112ڡ 2:28:49 26152
sin
ɤȡڤƤޤ͡
ߤޤ󡤲Τ̵뤷Ƥ
ʺäΤǤѥꤷƤʤäΤǡˡ
1112ڡ 2:45:06 26153
uchinyan
#26151⡼ޥ󤵤ء⤢꤬Ȥޤ
ʤۤɡեޡξȤΤǤ͡¾ΤȤ˵ƤơøʲǺѤߤޤǤ
Ȥǡ#26148λε˴ؤơ¸ʤǤ
ͥνȡ 1112ڡ 9:01:53 MAIL:uchi@sco.bekkoame.ne.jp 26154
uchinyan
#26148ˤĤơ
ο󥵥ȤξʤɤȤĴ٤¤ǤϡǤƤޤ󤬡
롼פθĿ = L = [d|c]{(d)/ord2(d)}
Ȥʤ褦Ǥǡ
d|c ϡd c Ǥ뤳Ȥ򼨤ޤ
(d) ϡĤФƤ顼ؿǡd 꾮 d ȸߤǤʤΤθĿɽޤ
ord2(d) ϡ2^k 1 (mod d) Ȥʤ k ΤȤǤd = 1 1 ޤ
㤨СǤϡc = 11 ʤΤǡ
d = 1, or 11, (1) = 1, (11) = 10, ord2(1) = 1, ord2(11) = 10 (ϥեޡξ顪)
Ȥʤꡢ
L = [d|c]{(d)/ord2(d)} = (1)/ord2(1) + (11)/ord2(11) = 1/1 + 10/10 = 2
ǡΤ˰פޤ¾ξ硢㤨С
c = 9 : L = (1)/ord2(1) + (3)/ord2(3) + (9)/ord2(9) = 1/1 + 2/2 + 6/6 = 3
c = 15 : L = (1)/ord2(1) + (3)/ord2(3) + (5)/ord2(5) + (15)/ord2(15) = 1/1 + 2/2 + 4/4 + 8/4 = 5
ʤɤȤʤꡢΤˡ#26148η׻Ȱפޤ
ϡࡢμ;ꤽǤޤʬä餴𤷤ޤ
ͥνȡ 1112ڡ 13:00:25 MAIL:uchi@sco.bekkoame.ne.jp 26155
⡼ޥ
#26148
uchinyan ء
򤤤Ǥ͡Ȥ
Ĥ⡢ϺȤɤǤޤƤޤޤ
ʬ䤹⤷ƲäʤȤäȻפäƤǤ
1112ڡ 16:04:00 MAIL:kennji72001@yahoo.co.jp 26156
ʥե
򤱤ɲȣȴƤ
äƤä³ȻפäƤҤá
1112ڡ 21:37:10 26157
N.Nishi
ȣޤ͡
1112ڡ 22:01:49 26158
⡼ޥ


Ʊˤʤ뤳ȤϺǹ⣱ǯ֤˲
ʤߤǯηˤˤʤΤϲʥʤǤ͡
1113 15:35:55 MAIL:kennji72001@yahoo.co.jp 26159
uchinyan
#26148ڤ#26155ˤĤơ
Ȥʤʬä褦Ǥޤ긷̩ǤϤʤǤݥȤ濴𤷤Ƥޤ
Ĺʤޤۤ

ޤϡǴطΤǡ#26148
䤳ξκεߤθĿϡǼĤν񤭹ߤ褯ɤС
c ʲδ 2c ʲζʬΤǡ
(3c + 1)/2 ĤǤ뤳ȤưפʬȻפޤ
Ƥޤ礦#26148 C ȸƤ֤Ȥˤޤ
ޤn < 0 ϡn > 0 ˵夷n ξϴξ˵夷ޤ
ޤn > c δΤȤϡ C ԤȤ n 꾮 (n+c)/2 ˤʤΤǡn 롼פʤȤ c = 11 ξƱǤ
ǡ1 <= n <= c δξͤOKǤΤȤn+c ˤäơϡ2 2c ޤǤ˸ꤵ뤳Ȥդޤ
ơ C ϲǤǽǤ0 < n <= c δФƤϡԤäƤ⤳ϰϤФʤΤǡ
ȷˤäơ󤫤θƱͤˤʤϤǤͤ m Ȥޤm ϡ1 <= m <= c δȤOKǤ
ǡΤ褦 C' ͤޤ
C'1 <= n <= c ΤȤn -> 2nc < n <= 2c ΤȤ n -> n-c
νۤɤδ m ˤȡη n ϡ1 <= n <= 2c ϰϤФ뤳ȤϤʤ
ä˴ 1 <= n <= c ϰϤФʤȤʬޤ
ơꡢC' C εˤʤäƤ뤳Ȥʬޤ
ǡ⤷1 <= n <= c Τ n n C ˤä m ˤʤäȤȡm C' ˤä n ˰դΤǡ
n m Υ롼׾ˤ뤳Ȥˤʤޤ
1 <= n <= c ʤ뤹٤Ƥδ n ФơΤ褦 m ¸ߤ뤳ȤϡۤɼȤǤ
ʤߤˡc < n ʤ n ϡm C' ˤäƤãǤ롼פλʬˤʤäƤޤ
ǡ1 <= n <= c δϤ٤Ʋ餫Υ롼׾ˤꡢ C n+c ˤä 2 <= n <= 2c ζ⤹٤ƥ롼׾ˤꡢ
ɡ롼׾ˤθĿϡc + (c + 1)/2 = (3c + 1)/2 Ĥˤʤޤ

ơϤǤ#26155
롼פθĿ = L = [d|c]{(d)/ord2(d)}
ͤޤ
ͤоݤϡ롼׾ˤ˸ꤷƤΤǡ1 <= n <= c ʤ 1 <= n <= 2c ʤǤ
ΤȤ C ۤɤε C' ȤϰабƤΤǡ C ˵ C' ͤޤ
˵ C' ϼΤ褦˽񤭴뤳Ȥդޤ򡢿ˡ A ȸƤ֤Ȥˤޤ
A1 <= n <= c ʤ n Фơ2^k * n c dzä;б롣
n ξϡk ˵ۼФ褯c < n <= 2c ϡä;ꡢбޤ
ơn 롼׾ˤȤȤϡ A Ȥȴñ˽񤱤ơ
2^k * n n (mod c)
Ǥn c g ľˤϡn = g * ac = g * d ʤΤǡۤɤιƱϡ
2^k * a a (mod d)
ˤʤޤǡa d ȤϸߤǤǤäơ
2^k 1 (mod d)
Ȥʤꡢ#26155ꡢk = ord2(d) Ǥ
ǸѤȡc d ͤd 꾮ƸߤǤ a ȤäƤȤˡn = a * c/d 롼׾ˤ郎
2^k * a a (mod d)
Ȥޤμϡa, 2 * a, 2^2 * a, ..., 2^(k-1) * a ƱȤ̣Ƥޤ
a θĿϡ(d) ĤǤ弰 a k ĤʣƤ롢Ĥޤꡢб n Ʊ롼׾ˤΤǡ
(d)/k = (d)/ord2(d) d Ф롼פθĿˤʤޤäơ
ΤΥ롼פθĿ = [d|c]{(d)/ord2(d)}
ˤʤޤ줬٤Ǥ
ʤºݤ˰ĤΥ롼׾ˤθĿϡʤȤ˴ؤƤϡk Ȥޤ
ϡk ϡ C' θդǸȡ롼פ 2 򤫤 C θդǸȡ롼פ 2 dzǤ
ϡ2 򤫤ƤäƲ d Ķ뤫бޤ꼰Ϥޤ褯ʬޤ

ͤƤߤޤ

c = 11 ξ硧2^k * n n (mod 11)
11 ǿʤΤǡбϡ
2^k 1 (mod 1), 2^k 1 (mod 11)
Ԥ̵̣Ǥ ord2 ord2(1) = 1Ԥ ord2(11) = k = 10 Ǥ
Ԥϡ11 -> 22 -> 11 бԤϡ3 ޤ롼פбޤϡ
d = 1 :
2^k * 11 11 (mod 11)
11 22
d = 11 :
2^k * 1 1 (mod 11)
1 2 4 8 16 5 10 20 9 18 7 14 3 6 12 1
ʬޤ
ʤ
2^k * a a (mod 11), a = 2, ..., 10
ϡˡ1 ηǽиƤޤϡk = 10 νʣ̣Ƥޤ

c = 15 ξ硧2^k * n n (mod 15)
15 = 3 * 5 ʤΤǡ
2^k 1 (mod 1), 2^k 1 (mod 3), 2^k 1 (mod 5), 2^k 1 (mod 15)
ord2 = 1, 2, 4, 4
롼פθĿ = 1/1 + 2/2 + 4/4 + 8/4 = 5
Ūˤϡ
d = 1 :
2^k * 15 15 (mod 15)
15 30
d = 3 :
2^k * 5 5 (mod 15)
5 10 20 5
2^k * 10 10 (mod 15)
5 ηǴ˽и
d = 5 :
2^k * 3 3 (mod 15)
3 6 12 24 9 18 3
2^k * 6 6 (mod 15)
3 ηǴ˽и
2^k * 12 12 (mod 15)
3 ηǴ˽и
2^k * 9 9 (mod 15)
3 ηǴ˽и
d = 15 :
2^k * 1 1 (mod 15)
1 2 4 8 16 1
2^k * 2 2 (mod 15)
1 ηǴ˽и
2^k * 4 4 (mod 15)
1 ηǴ˽и
2^k * 8 8 (mod 15)
1 ηǴ˽и
2^k * 7 7 (mod 15)
7 14 28 13 26 11 22 7
2^k * 14 14 (mod 15)
7 ηǴ˽и
2^k * 13 13 (mod 15)
7 ηǴ˽и
2^k * 11 11 (mod 15)
7 ηǴ˽и
ϡ餯򤹤Τˤ褤Ȼפޤ
ͥνȡ 1113 21:14:14 MAIL:uchi@sco.bekkoame.ne.jp 26160
⡼ޥ
#26160
uchinyam ٤ťκǤʤޤ褯ǤƤʤ
˥ץߥƥ֤ʲˡ򡦡

nΤȤ
n=<22
nΤȤ
n=<11
nΤȤ
n=m/2
Ĥޤꡢm2~22ޤ¸ߤСn1~11ޤ¸ߤ롣
Τȷ㸶ǡ11+6=17顢ԤФƤͤƸФ褤ʲβʤ顢ƱФƤϤ顣
Ĥޤꡢ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 ζnǽοʤ顢
1ܡ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
2ܡ 12, 1, 14, 2, 16, 3, 18, 4, 20, 5, 22
3ܡ 6, 12, 7, 1, 8, 14, 9, 2, 10, 16, 11
4ܡ 3, 6, 18, 12, 4, 7, 20, 1, 5, 8, 22
5ܡ 14, 3, 9, 6, 2, 18, 10, 12, 16, 4, 11
6ܡ 7, 14, 20, 3, 1, 9, 5, 6, 8, 2, 22
7ܡ 18, 7, 10, 14, 12, 20, 16, 3, 4, 1, 11
8ܡ 9, 18, 5, 7, 6, 10, 8, 14, 2, 12, 22
9ܡ 20, 9, 16, 18, 3, 5, 4, 7, 1, 6, 11
10ܡ10, 20, 8, 9, 14, 16, 2, 18, 12, 3, 22
11ܡ 5, 10, 4, 20, 7, 8, 1, 9, 6, 14, 11
12ܡ16, 5, 2, 10, 18, 4, 12, 20, 3, 7, 22
13ܡ 8, 16, 1, 5, 9, 2, 6, 10, 14, 18, 11
14ܡ 4, 8, 12, 16, 20, 1, 3, 5, 7, 9, 22
15ܡ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 11
16ܡ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 22
ǡ1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,20,22 Τ٤ƤФƤ뤳Ȥʬ롣

c礭ȡ׻dzΤΤ̵ˡ
uchinyan ϡͤǾƤ뤫餹
1114ʷ 18:36:30 MAIL:kennji72001@yahoo.co.jp 26161
⡼ޥ
ɲ
ƱƱ˺㣲ФƤäƤȤäǤ
1114ʷ 20:58:40 MAIL:kennji72001@yahoo.co.jp 26162