ǯ
MS-Excelǡ
52ܤ2
2^50ϥ顼2^10;172*17^5;27
ǤϤ줫顥
1030ڡ 0:11:42 42582
Ȥ
1,27,40,20,10,5,29,41,47,50
25,39,46,23,38,19,36,18,9
31,42,21,37,45,49,51,52,26,13
33,43,48,24,12,6,3,28,14,7
30,15,34,17,35,44,22,11,32,16,8
4,252ܤʤΤ
mod(2*2^50,53);27()
˭ԡ 1030ڡ 0:16:02 MAIL:fttnm528@ybb.ne.jp 42583
å
52ܤ2Ǥ̤ȡ2ܤ53dzäȤΤޤ꤬麸¤Ǥ롣
äơ2^5153dzä;ϸο2ܤ27Ȥޤ
1030ڡ 0:17:58 42584
⡼ޥ
53;(52)¤֤ΤǡĤ֤ ^^;
53ܤ1
52ܤ2
2*2^50=2^51
2^521 mod 53 ʤΤǡ
54/2=27
¨ ^^;v 1030ڡ 0:17:01 42585
ǯ
γäƤ褦Ǥ
1030ڡ 0:19:04 42586
ʪ
ޤο52ܤޤǽ񤭽Фޤ
1,27,40,20,10,5,29,41,47,50,
25,39,46,23,38,19,36,18,9,31,
42,21,37,45,49,51,52,26,13,33,
43,48,24,12,6,3,28,14,7,30,15,
34,17,35,44,22,11,32,16,8,4,2(,1,27)
52ܤ22^5153ΤޤФΤǤ
2^1532
2^2534
2^3538
2^45316
2^55332
2^65311

äοȤϵդˤǤޤ
2ɤä51ܤ27
27
ܡ 1030ڡ 0:22:47 42587
ʪ
ޤο52ܤޤǽ񤭽Фޤ
1,27,40,20,10,5,29,41,47,50,
25,39,46,23,38,19,36,18,9,31,
42,21,37,45,49,51,52,26,13,33,
43,48,24,12,6,3,28,14,7,30,15,
34,17,35,44,22,11,32,16,8,4,2(,1,27)
52ܤ22^5153ΤޤФΤǤ
2^1532
2^2534
2^3538
2^45316
2^55332
2^65311

äοȤϵդˤǤޤ
2ɤä51ܤ27
27
ܡ 1030ڡ 0:23:44 42588
AU
οε§ɤؤ
οϡߤο2ܤ53dzä;ˤʤ
ˤʤǤ͡
Excel˷׻򤵤̤򸫤Ƥ褦䤯Ťޤ(^^;
Ҥޡ 1030ڡ 0:37:48 42589
٥륯åĥ
52ܤϽ񤭽Фޤñ˽ФˡϤʤǤ礦͡
1030ڡ 0:38:22 42590
å
#42590
53dzäޤ꤬52ĤļǽФơ53ܤ1Τǡ1ľοͤȡ53­2dz1ϤꤨʤΤǡ2dzä1ˤʤ252ܤȤǤɤǤ礦
1030ڡ 0:44:27 42591
hide
2ܤ53dzäޤȡο53dzäޤ꤬餫˰פΤǡ٤52ܤ502ܤ27

äλ֤˵ƤΤ˥ꥢ륿໲路ͤorz
СХ顡 1030ڡ 0:49:57 42592
masa
ν 1/2 ޤ+53)1/2ʤΤǡ2^50򤫤뤳Ȥ50ɤ᡼ɤǤ+53ιη׻53dzä;ˤϱƶʤΤǡ;2ܤƱȹͤޤ
1030ڡ 0:55:44 42593
ޥ
򤫤򣵣ˤΤϡ䤫ExelкǤ^^;
iMac 1030ڡ 0:56:29 HomePage:42594
baLLjugglermoka
ޤ꤬53ĤĤǤϤʤ52ĤĤǤ͡Ĥ52ܤο4Ȥơ2^52153ܿȤƤޤͤʴְ㤤򤷤Τ¿ʬͤǤ͡ï֤ʤ(^^;;;)
1030ڡ 1:00:49 42595
sodo
;ȷ夢դ줷Ȥ;֤ФʤΤǡ
ۤɤкˤϤʤäƤʤȡEXCELǹǤ
sodo 1030ڡ 1:18:56 42596

#42585⡼ޥ󤵤Ʊ褦ʹͤǤ姤ֿϡʺǽ餬1ʤΤǡˣ꾮ƱФǽΤϣܤʤΤǡɤˤƤˣܤϣܤϣ
򣵣dzä;ϡʤޤˤޤȤʤ)ƱȤä()ޤ

򸫤ȤåĤǤֶʤȾʬʤ飳ܤƣ­³ȣΥ롼פˤʤפפФޤʹ⹻ΤʿǹͤФ󤸤ʤȻפäǤޤ̤餷Ǥ)ˤʤäƺäȤΥڥ¥򸫤Ƥߤȡο 3 253 = 27,021,597,764,222,976 ޤǥåƤȤޤΣȲطΤǤ礦ʶλפߤʡ

Ϻꡡ 1030ڡ 7:14:20 42597
ǯ
#42593 Ф餷
1030ڡ 1:37:20 42598

nܤοaȤ(n+1ܤο2򤫤53dzä;ͤ롣
aaa/2aa53dzä;
aa(a+53)/2aa53dzä;
δط顢β253dzä;ʤΤ27
1030ڡ 5:40:26 42599

3a(a+53)/2a+53Ǥ
1030ڡ 5:42:37 42600
ϥ饮㡼ƥ
Ϥ褦ޤץǴñȻפäΤǤɤƤְäƤޤ
Ƥޤ
1030ڡ 6:54:24 HomePage:湩ؤ˥42601
Mr.ǥ
ܤο2ܤ(n-1)ܤοȤϡ53dzä;꤬Τ
52ܤο򡡣Ȥ
*251ܤοmod 53)
a*2^250ܤοmod 53)
a*2^349ܤοmod 53)

a*2^502ܤοmod 53)
ä
2ܤο27Ȥޤ(ФǤ礦͡
1030ڡ 9:08:55 42602
uchinyan
Ϥˤϡơϡ
ϡĿŪˤϤäȥƤ򤤤ʡȴǤ
Ūˤϥեޡξ١ˤˡ⤢ޤ
ȤƤϽ񤭽ФƤⲿȤʤ¿ʴǹͤȤ褵Ǥ

1, 27, 40, 20, 10, 5, 29, ..., , , , ...
ȤʤäƤȤޤ
ޤο˸ϡ1 Ϥޤ뤳Ȥȵ§顤1 ʾ 52 ʲǤ
(̩ˤϿŪǼˡǤ礦Ǥϡ餫ǤǤ礦)
ˡ * 2 ͤȡ 2 ʾ 52 * 2 = 104 ʲǡϤ구§ꡤ
* 2 <= 52 ΤȤ * 2 = * 2 > 52 ΤȤ * 2 = + 53
ˤʤäƤޤǡ * 2 53 dzä; ˤʤޤ
ˡ * 2 * 2 ͤȡ * 2 * 2 = * 2 * 2 + 53 * 2 Ǥ
53 dzä; * 2 53 dzä;ۤɤƱͤˤ ˤʤޤ
Τ褦 2 ݤ뤴Ȥˤ 53 dzä;Ͽΰο˥Ƥޤ
ǡ52 ܤ 2 50 ݤΤ 53 dzä; 52 ܤ 50 ֤
ʤ 52 - 50 = 2 ܤοǡ27ˤʤޤ

ʤեޡξȤäˡȤƤϡ

ο˸ 1 ʾ 52 ʲǤ뤳ȡ
53 ǿʤΤǡ2^52 53 dzä;꤬ 1§η׻դé뤳ȡʤɤˤäơ
53 ܤ 152 ܤ = 2ʬꡤ * 2^50 = 2 * 2^50 = 2^51 53 dzä;뤳Ȥˤʤꡤ
Ƥӥեޡξ (1 + 53)/2 = 27
Ȥ褦ήˤʤȻפޤ

äȤ⡤󻻥ǤϥǤΤϿɤʵ⡣
ͥνȡ 1030ڡ 12:03:25 MAIL:uchi@sco.bekkoame.ne.jp 42603

ˤ
10ۤɽ񤭽ФƤߤ餹ĤϤǤ
ñʷ׻ߥΤᤷФ餯»Ҥˤʤޤ(^_^;)

1030ڡ 12:24:47 42604

Mr.ǥ
ĤǥʲˡŨǤեǤ
1030ڡ 14:13:46 42605
???
Option Explicit
Sub Macro1()
Dim a As Integer
Dim j As Integer
a = 1
For j = 2 To 52
If a Mod 2 Then
a = a + 53
End If
a = a / 2
Next j
For j = 1 To 50
a = (a * 2) Mod 53
Next j
Cells(1, 1).value = a
End Sub
1030ڡ 15:10:26 42606
uchinyan
ǼĤɤߤޤ

#42583#42584#42587#42590#42604
ºݤ˽񤭽Фʤɤ 52 ܤ 2 Ǥ뤳Ȥᡤ
2 50 ݤ 2^51 53 dzä;§򸫤ĤʤɤƲ򤯲ˡ

#42585#42591#42595#42597#42603θȾ
˸ 1 ʾ 52 ʲǤ뤳ȤȤνиλ顤53 ܤ 152 ܤ 2 Ǥ뤳Ȥᡤ
2 50 ݤ 2^51 53 dzä;եޡξѤƵˡ
53 ܤ 1 ͤˤϤĤ褦ǤŪطʤˤϤϤեޡξȻפޤ

#42592#42593#42599#42602#42603Ⱦ
Τ 2 ܤ 53 dzä;꤬ΤοΰοǤ뤳Ȥܤˡ

#42582#42589#42601#42606
ץˤˡ
ͥνȡ 1030ڡ 16:03:06 MAIL:uchi@sco.bekkoame.ne.jp 42607
Mr.ǥ
#42605 ..˫ĺͭ񤦤ޤ
ĤǥȤꡢǤΥƥʲˡ¿Ϥ椤¤Ǥ
1030ڡ 17:15:57 42608
ɩ
ºݤ˽񤭽Ф52ܤ2Ǥ뤳Ȥǧ250ݤ2^5153dzäξʬ53򤫤27ˤʤޤʤˡǤ⡢򤱤Ȥ줷
1031ʶ 1:24:05 42609
粬ҹ
ƽ񤭽Фޤ

2^1532
2^2534
2^3538
2^45316
2^55332
2^65311
2^75322

̤ä;

ʬФƤΤǤ͡ޤʡ
1031ʶ 19:44:59 42610
ʪ
褯ͤƤߤ
22
+5322-53
11Ĥɤ뢪2
52֤2122
2222

5022^50-5322ߡ2-5322ߡ
22^50-ʤ餫53ܿ
22^5053Τޤ
2ܤο27
ܡ 111ڡ 23:59:39 42611
Ϸʼ
ǽϣţDz򤭤ޤ򸫤ƤäȻפޤ
ԤäƣΤǤ
äñ˹ͤ褦ˤȻפޤ
ʡ 112 6:13:28 42612
uchinyan
Ƕϡ⹻ǤȯŸȤϤƱ򽬤餷Τǡ񤤤Ƥȡ

mod 53 ιƱǹͤ + 53 ɽ嵭ҤʤƤ褯ޤơ
(2^(-1))^51 * 2^51 1 54 * 2^50 27
ͥνȡ 112 14:39:52 42613
sodo
#42596
äѤäƽ񤭹Ǥޤߤޤ
sodo 114ʲС 6:23:04 42614
ڥ륽
ȤʤȡäݤǤʤʤʤ
ŤäȤϻפɡǤϤʤʤ
115ʿ 16:09:34 42615
ڥ륽
115ʿ 16:10:34 42616