ݤä
177ǿʤȤ3ʬƵŤ
930ڡ 0:05:48 36828
㡼ߡ
11x17 μ 11x23 ˤʤäƤ Ҥɤְ㤤ġ
Ȥ礦Ȥ䤯 930ڡ 0:16:46 MAIL:kakuromaster@star.cims.jp 36829

ФƤǿPȤ롣
+10A11ˤʤäƤȡ
11*-10(11礭ǿޤǿ)׻Ƥȡ
=19=199ФƤ롣
äơǤ⾮199*199ʤ199Τޤ

ˤ줬äñ˰ääƤʡ錄
930ڡ 0:22:36 36830
5230
111211331ȹͤƤޤ
׻줿
930ڡ 0:24:57 36831
5230
ƱǤ
199*199ǤäƤޤ
930ڡ 0:26:40 36832
⡼ޥ
դ...199^2Ȼפä......^^;?
...199Ϥ줿...
930ڡ 0:28:48 36833
졼饤
2okǤ
199211ʤǺǤޤ
930ڡ 0:33:17 36834
ͣ.ǥ
11ǤСϤƤǤƤʥ10ˤϣˤʤΤǡŬ
11ߣ(11ʾǿ)ȤȤˡ11,13,17,19,Ƚươ10
ǿˤʤΤõȡ19ΤȤ
111910199ǿȤʤꡢϡ199
ȵޤ
ʰ֡1992 Ȥפޤ 199ǽʬƤȵդޤ
930ڡ 0:48:07 36835
doba
ǿǤʤΤϤ褤Ȥơ
֤ˣ줿ưƤʤΤˤʤޤ
930ڡ 0:46:56 36836

#36828
ƱǤ177ǷǤ
930ڡ 1:06:43 36837
cyclone
177ǿʤȤ狼äǷˤʤäƤޤä
ȾäΤorz
930ڡ 6:09:48 36838
ϥ饮㡼ƥ
Ϥ褦ޤñʥץǤMATLABˤfactorminΤǤˤǤޤ
930ڡ 9:53:38 HomePage:ϥ饮㡼ƥ湩36839
abcba@jugglermoka
Ϥ⤷Ǥ3ܿ˵դƤΤDzȤȯǤޤ

ɿ
ˤ֥פϤϤ줿Nݣäƽ褿֥פƤӵϤȤNϤ줿硢֥פNǿΤȤ֥סN^2Ǥ롣
ǿAФB(A^(3)1)/(A1)ǿˤʤ褦AʤȤˤʤ롣B2010ʲˤʤΤA=13ΤȤΤߡ
(A2(mod3)ʤB3ܿ)
930ڡ 9:55:01 36840
ϺĹ
ʤǤ͡199ǽʬƤפǤ͡
ϡդ...199^2Ȼפä...ɡɤǤ

199ơޤǶϤɤäǤ⤤Ǥ
930ڡ 10:07:25 36841
uchinyan
Ϥˤϡơϡ
괺Ĵ٤ƤߤǤäȤǤ (^^;

ꡤ11 ʾǰޤ༫Ȥơ
κǾǰ + 10 =
= 11 *
Ȥʤꡤ餫顤
κǾǰ = 11 * - 10
ǤǾˤΤǡǿξͤơ
= 11 * - 10
ȤƽʬǤϡǿˤʤǾΡõСΤȤΥˤʤޤ
ơ 11 * 11 = 121 ̤ξˤϡ11 ʾǿˤʤΤǡ
= 11 = 11 * 11 - 10 = 111 = 3 * 37NG
= 13 = 11 * 13 - 10 = 133 = 7 * 19NG
= 17 = 11 * 17 - 10 = 177 = 3 * 59NG
= 19 = 11 * 19 - 10 = 199 = ǿOK
ǡ 199 ˤʤޤ

ȡޤǽ񤤤ơդȡ = 1 βǽ⤢ΤʡȻפޤ
ΤȤϡ = 11 ǡΤ 11 ФƤޤ11 - 10 = 1 = κǾǰǡ
1 ǿǤʤȤ顤ϤꤨʤϥǤ͡
Ǥ⡤ = 1 Ȥ顤 A ϲϤ
פäʸɤ֤ȡޤΤǤʤ
1 ǰʬǤʤǰʤΤǡϤ顼åФ롤ȤΤǤ
⤷ǰǤϤʤ 1 Ϥ顤 = 1 褯ʤä㤦Τʡʤơ
ץޤѤۤǤ (^^;
ͥνȡ 930ڡ 10:39:57 MAIL:uchi@sco.bekkoame.ne.jp 36843
???
Option Explicit
Sub Macro1()
Dim deta As Integer
Dim n As Integer
deta = 0
n = 2
While deta = 0
Cells(n, 1).Value = n
Cells(n, 2).Value = machineA(machineA(n) + 10)
Range("A" & Cells(n, 1).Value).Select
If Cells(n, 2).Value = 11 Then
deta = 1
Else
n = n + 1
End If
Wend
End Sub
Private Function machineA(ByVal n As Integer) As Integer
Dim deta As Integer
Dim j As Integer
deta = 0
machineA = 2
While deta = 0
If IsPrime(machineA) And n Mod machineA = 0 Then
deta = 1
Else
machineA = machineA + 1
End If
Wend
End Function
Private Function IsPrime(ByVal n As Integer) As Integer
Dim j As Integer
IsPrime = -(n > 1)
j = 2
While IsPrime And j * j <= n
If n Mod j = 0 Then
IsPrime = 0
Else
j = j + 1
End If
Wend
End Function
930ڡ 10:36:30 36844
uchinyan
ǼĤɤߤޤ
ͤϡƱȻפޤ


199^2 ǤϤʤȤո
̤ˡA ǿξǧʤȤΩˤʤȻפޤ
̡ǰʬȤäȤˤϡǿ켫ΤȻפΤǡϡΩˤϻƱǤޤ

A = 1 βǽ
ʸץΥڥåϼ⤷ϴؿȤɤľȡ
⤽⡤ A ϤǤν礬ΤǤʤ
ǰʬȤǰǤʤǰʤʤɤοϤȤư̤Ǥ
顼ϳʤȤɽ̤͡㤨 -1ϤΤȻפޤ
ΩΩƤСA = 1 Ͼ˹ʤȤӽΤ褵Ǥ

ʤ

#36840ɿ
ޤȹͤƤʤǤޤʴʤΤʤȤ
ǿAФB(A^(3)1)/(A1)ǿˤʤ褦AʤȤˤʤ롣B2010ʲˤʤΤA=13ΤȤΤߡ
դ褯ʬʤȾΡ֢פϲˡȤƤΤʡ
⤷̤=פȤ顤Ⱦ B <= 2010 A = 13 ΤߡȤΤ
(A,B) = (2,3)(3,7)(7,43)(13,157)
ˤʤäƤޤ
ͥνȡ 930ڡ 11:36:24 MAIL:uchi@sco.bekkoame.ne.jp 36846
̵
133ǿǤʤȤ˵Ť3ʬۤǺߤޤʾС
930ڡ 12:06:58 36847
abcba@jugglermoka
#36840,#36846
>դ褯ʬʤȾΡ֢פϲˡȤƤΤʡ
>⤷̤=פȤ顤Ⱦ B <= 2010 A = 13 ΤߡȤ>Τ
>(A,B) = (2,3)(3,7)(7,43)(13,157)
>ˤʤäƤޤ

Ŧͭ񤦸¤ޤ
֥פκǾͤϡ֥=N^2ǡ֥פϤ˽ϤͤN^(2)N1=(N^(3)1)/(N1)Ǥ롣AǿϤȤΤޤ޽ϤΤǡ֥=(N^(3)1)/(N1)ǿˤʤФ֥ͤפκǾͤǤ狼롣
NA,֥פB֤B=(A^(3)1)/(A1).
Ⱦ΢ϹƱεǤϤʤΰ̣ǤA,BФ룲ѿѷ櫓ǤϤʤΤΰ̣ǤεȤޤʤΤDzˡˤƤ櫓ǤʤñʤǤ

A11(ʾ)ΤĤǽ񤤤ΤǤ˺Ƥޤ

ñA=13Ȳ1ĤˤʤΤDzȤʤ쥬(?)....Ȼפäƽ񤤤;꿼ϹͤƤޤ
930ڡ 12:40:20 36848
ߥߥϤ
ǿɽѥˤ뤫ʤȻפޤĤʤΤWebޤ
199*199ǤҤääΤϻʤ
930ڡ 14:41:28 36849
ϥ饮㡼ƥ
MATLABΥץࡣ̾factorϣǰȤƽϤƤʤ褦Ǥ

for ii=2:300;
a=min(factor(ii));
b=a+10;
c=min(factor(b));
if c==11,ii,end;
end;
930ڡ 17:43:15 HomePage:ϥ饮㡼ƥ湩36850
imai
1119
930ڡ 17:52:06 36851
tomo
199211ǤҤǺǤޤ巯򤤤衣
930ڡ 22:38:15 36852
⡼ޥ
ɤʤƤΤǤ...Orz~
˿ȯŸ(^^;?)Ȥ...ʲΤ褦ʤΤͤΤǤ...

֣̤ͤΥ롼ǡߤ˹Ĥ˿񤤤Ƥ򤷤Ƥޤ

롼(1) n ޤǤο椫飱Ĥǿߤ˽񤤤Ƥ
롼(2)ޤǤ˽񤫤줿Ͻ񤱤ʤ
㤨СĤˡ֣פȽ񤫤줿顢ʹߤϣϽ񤱤ʤ
롼(3)ѥϤǤʤ

Ȥ롼ǡ񤱤ʤʤäͤ餱Ǥ
Υ꤬ɬƤ n 衣

ä...ȤΩΤǤ礦...?
...λϡɬɬ˷ޤ櫓Ǥ...?
Ȥ...οʾϸɬˤʤ뤳Ȥˤʤ櫓...
Ǥ...ǿ̵¸Ĥ뤫...ʤȤϼƤ褦ʵ⤹뤷...^^;?
101ʶ 0:51:20 36853
doba
#36853
Υ롼ȡͤˤ餺ɬȻפޤ

ˡˤĤƸɬȤȡ
꤬ǽ鲿񤤤ȤƤ⡢ˤˤʤʤ褦ʼΣ꤬¸ߤޤ
ǡ꤬񤤤Ȥ˸꤬˽񤯤ȤΤǤΣĤȤȡ
ȣ᤬Ĥ˽񤫤Ƥ֤Ǽ˽񤯿ͤɬԤȤʤޤ
ɬʤΤǡ꤬ǽ˹Ĥˣ񤤤ƤϾƤ롢
ĤޤꡢΤߤĤ˽񤫤Ƥ֤Ǽ˽񤯿ͤɬǤ

Ȥ֣ȣ᤬Ĥ˽񤫤Ƥ֡פ
֣ΤߤĤ˽񤫤Ƥ֡פǤϡĤäƤƱʤΤǡ
ζ̤ȤƤʤϤǤ
äơɤ餫ɬǤɤ餫ɬԤȤȤϤޤ
äơ̷ɬȤϸǤ뤳Ȥ狼ޤ

äơΥϣͤˤ餺ɬǤ


֣ޤǡפˤȡɬΥФƤΤǤϤʤǤ礦
ˤ衢֤ʾΣˤĤƤɬɬפȤäˤ
ʤʤ褦ʵޤ
101ʶ 1:48:53 36854
doba
ʤߤˡɬɬ˷ޤΤϡ
Ǥ뤫ǤϤʤͭ²Ƿ夬ĤȤݾڤƤ뤫Ȼפޤ
101ʶ 2:02:34 36855
⡼ޥ
#36854doba ^^
ͤƲäƤ꤬Ȥޤ
Ǥޤ ^^v
ɬˤʤ뤳Ȥ...
n Ϳ줿Ȥμ뤳Ȥˤʤ櫓Ǥ...
Ȥ...ϸɬˡ¸ߤΤǤ礦...Ǥ...ѥǤѤä...

ݤʤΤǤ礦...Ȥ...n=21 ΤȤɬˡϼȤϤǤΤǤ礦錄...ɬԤεΤ...^^;...
101ʶ 9:24:41 36856
doba
#36856 ⡼ޥ󤵤
ΥǡˤĤƶŪɬˡۤ硢
Ȳǽʶ̤οȯŪơ
ʹ֤ˤϤɤڤʤʤ褦Ǥ
ˤϣ10餤³Ǥ

Υ롼ξ硢˴ؤŪǼˡ˾Ū˻ȤʤΤ
ɬˡ˵§򸫤Τ񤷤Ǥ

ʤ֣Ͻ񤤤ƤϤʤפȤ롼ɲä硢
ᣲ10ޤǤǸɬȤʤäΤϣȣǤ
101ʶ 14:28:40 36857
Ѥ10ﶥ
#36856,#36857
鼺餷ޤ
ʥץ餻ޤΤΤɤ԰¤ϤΤǤdobaη̤n=10ޤǤƱˤʤäΤɤȤƤޤ
η̤ˤСn:8,10nnο³꤬񤯤ȾĿǤ
118,10122,51361410,11,12,13,1415121614ʤ2121оʤȤ꾡ʤ٤ƤʬϤ̤λץǤλ֡ǤޤˤޤǤˡ꾡ΥϽФƤޤ
101ʶ 16:45:54 MAIL:tmkimura@carrot.ocn.ne.jp 36858
⡼ޥ
#36857,#36858 dobaѤ10ﶥ ^^
ݤǤߤޤ m(_ _);m~v

錄ΤøʹͤǤ...ɤǤ礦...^^;?

Ȥ...n=10ΤȤ...
1,2,3,5,7...2^2,2*3,3^2,2^3,2*5
ϴܤ˾ƤФ褤...
ĤޤꡢĻĤƤФ褤ñˤϣĻĤäƤо

Ȥ...2*3 or 2*5
...Ĥ...5,7 or 3,7 ΣĻĤΤ...
ϤɤФƤ꤬٤1ĻĤ

Ĥλ...ȤС1Фȡ 2*3 or 2*5 Ф...Ǹξ
2,3,5,7 飱֤ȡĤˤʤΤ餱

1,2,3,5,7,11,13,17,19......2*5 ꤬Ф...3*7=21 ʤΤ...
20ޤǤʤ...3,7,11,13,17,19 Σ()ϤΤǾƤ롣
21ΤȤ...3*7 ФƤ...2 Ф줿...5,7,11,13,17,19 ζĤĤʤ...餱...

ȹͤƤޤ...ʸ褯ɤ...礭ʿʤФΤǤ...^^;...Orz~
ޤ...
n=10 ΤȤ...꤬6龡ƤǤ͢
101ʶ 17:51:12 36859
ѥ&10ﶥ
#36859
ʸʤɤޤ󤬡Ǹ
n=10ΤȤ6龡äƤȻפޤ

ĤǤʤΤǡn=21ޤǤ꤬Ĥΰܤ󤷤ޤ
3:1 4:2 5:4 6:5,6 7:1 8:2,5,7 9:2,5,7 10:4,6 11~16:#36858
17:10 18:5 19:12,14 20:4,5,6,9 21:4,6,9,21
102ڡ 9:57:21 HomePage:ѥ&10ﶥ36860
hide
Τԥån=10λɬˤʤ뤿1ܤ䤦꤬ä褦ʡġ

ää
http://www.sansu-olympic.gr.jp/class1/q6.html
ȡࡡ 102ڡ 18:24:01 36861
⡼ޥ
#36860 ѥ&10ﶥ ^^
4Ǥ⤤ȳǧǤޤ
ꤤõäƤΤʤ...^^;?

#36861 hide ^^
...ԥǤ...^^v
錄Ϻǽ...񤫤줿ĿϽ񤱤ʤȸɤƤΤ...
ξƤοäƤΤꤽʵΤ...^^;...Orz~v
102ڡ 21:16:44 36862
uchinyan
⡼ޥ󤵤ڤӤε̣ɤߤޤ
äˡdobaξϡ1 ü򤦤ޤȤäƤ򤤤Ǥ͡
ʤѤ뤵η̤ǧ褦ȻפäƻץȤǤߤΤǤ
르ꥺबʥֲ᤮褦Ǥʤʤ̤Ф
äȡn = 1 16 ϲȤäƱˤʤޤ
ʹߤϡʤ餻ƤΤν餺르ꥺθľ򤷤ʤȥ᤽Ǥ
ޤˡϤʤΤʡ
ͥνȡ 103 12:45:57 MAIL:uchi@sco.bekkoame.ne.jp 36863
ݤä
򤤵򤵤Ƥޤ
dobaξ˴ưޤ
ǤֹͺȤȤǿͤ뤳ȤФʤǤ
103 13:31:36 36864
doba
ṳ̈˵ŤΤϡ
n=1֤ɬɬƻĴ٤Ƥơ
n=7ˤäν񤱤礭ˤĤ֤Ƥ顢
飲ޤǤϥǡǸᣱƤƤȡ
¤꣱ǸͤݡޤǤθƤ
֤ˤʤ뤳Ȥ˵Ťäꤷޤ
ʤϤҤᤱޤ(^^;

Ȥǡ꤬񤱤ʤ褦ʣ
ʤĤޤꡢ񤤤ƤϤʤ롼Ǥϸɬˤʤ褦ʣˤˤ
ʤˤ§ϸʤΤǤ礦
Ȥ⡢¤n=7äꤷơ

äѤꡢ§Τ̵ʤΤʤ
104ʷ 1:35:45 36865
⡼ޥ
#36865 doba ^^
øˡ⤷ޤ...^^;...
⤷...n=7 ΤȤɬκͤʤ...ʾΤȤɬˡ¸ߤ뤳Ȥˤʤޤ...n=k>7...Ȥ...n=10 ΤȤɬȤʤ...n=11(ǿ) ΤȤ...11ФФ餱Τ... 11Фʤ褦ˤޤ...?...ȤȤ...
11ФʤȤˤʤ...̷...Ĥޤ...ɬǤʤʤ...
ä礯...ɬοn=kμοn=k+1ǿʤ...ɬȸ...^^;?
äѤ...øʤ...^^;?
104ʷ 22:10:50 36866
⡼ޥ
錄ΤäѤ걳Ǥ...^^; Orz...
n=4 ΤȤ...
꤬2 or 4 Ф...ɬ...
n=5(ǿ)Ǥ...ϡ٤4Ф...ɬˤʤޤΤ...Orz...
񤷤...^^;;...
104ʷ 23:09:35 36867
ɡɤ
ñǤ͡
105ʲС 22:47:56 36868

פ֤Ǥ
̣λʤפ֤˹ޤ
ơգң̤Ѥޤ
http://blog.livedoor.jp/daisuke_1232/
Ȥ⡢ꤤޤ
١𤹤ߤޤ...
ܿĻԡ 106ʿ 20:27:43 MAIL:dice-k@onyx.ocn.ne.jp HomePage:36869