mhayashi
d(梦)b ϢƤ
413ڡ 0:05:25 HomePage:M.Hayashi's Web Site27173
ޥ
¤ϻץdzǧޤ(^^;;

for $i(1..20000){
if (($i +1 ) % 2 ){next;}
if (($i +2) % 3){next;}
if (($i +6) % 5){next;}
if (($i +30) % 11){next;}
if (($i +330) % 41){next;}
print $i;
}
PowerBook G4 413ڡ 0:05:41 MAIL:masaru-y@sansu.org HomePage:27174
ݤ
ŻǤȤΤʤäΤ͡
Ƹɡ 413ڡ 0:07:01 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţӤ褤Ȥ٤Ϥ27175
ޥ
ꤷˡϡ330*41-371ǤᤤƱʡ
PowerBook G4 413ڡ 0:07:55 MAIL:masaru-y@sansu.org HomePage:27176
ڼ
#27176
ϡ123110-371Ǥ
͡ 413ڡ 0:13:08 MAIL:iida@ae.keio.ac.jp 27177
Ф䤷
־ʤȻפ룴ܿ񤭽ФƤĤξΤõƤä飱ˤɤĤޤޤͤ狼ޤǤ
413ڡ 0:23:40 27178
㡼ߡ
Ѥ 6 dzä;ꢪ 30 dzä; 330 dzä;
ν˷׻Ƥޤ
ܹ衡 413ڡ 0:27:03 MAIL:ojamaru@amber.plala.or.jp 27179
ޥ
ϡΥͥȯŸΤʤǤ¤Ϸ빽äƤꤷޤʤθߥ򤷤ʤ...Ǥ
PowerBook G4 413ڡ 0:27:37 MAIL:masaru-y@sansu.org HomePage:27180
ҡΤ
+12ܿġ1
+23ܿġ2
+65ܿ+15ܿ 1դ +110ܿ19
+3011ܿ-311ܿġ3
+33041ܿ+241ܿ 2դ +2123ܿ

19ʤΤ
123*7123*17123*27 ȤߤĤ֤ˤޤʡ
123*107-511dzڤ줿ΤǤˤɤ夭ޤ
9ߤ濴 413ڡ 0:29:10 HomePage:27181
DrK
ҤäȤơޤƤǤ?
٤Ͼγڱࡡ 413ڡ 0:31:46 MAIL:satoka@star.odn.ne.jp 27182
Ȥ
basicǤ
ǽѿ9999­ƤǤ99999ˤƤǤƤޤ
ǤǤʤDz줿󤸤ʤȻפf9ִ֤
äȤ˵դޤ

FOR x=1 TO 99999 STEP 2
LET a=x+1
LET b=x+2
LET c=x+6
LET d=x+30
LET e=x+330
IF MOD(a,2)=0 AND MOD(b,3)=0 AND MOD(c,5)=0 AND MOD(d,11)=0 AND MOD(e,41)=0 THEN PRINT x
NEXT x
END
˭ԡ 413ڡ 0:32:12 MAIL:fttnm528@ybb.ne.jp 27183
CRYING DOLPHIN
­Ȣdzڤ졢­ȡdzڤ
ϡ(ܢ)­ȡǤ⢥Ǥڤ롡ġ

äȣdzڤ졢äȣdzڤ롣
ܿ꣱äȣdzڤ롣

äȣdzڤ졢äȣdzڤ롣
äȣdzڤ롡ʡ

äȣdzڤ졢äȣdzڤ
äȣdzڤ롡ʡry

äȣdzڤ졢äȣdzڤ
äȣdzڤ롡ʡry

äơǾϣݣ
ǯԥ奦ȡ 413ڡ 0:35:04 HomePage:ȤƻȤ27184
ޥ
#27184
줬ꤷƤˡǤǽξ֣äȣdzڤפɤؤСǽǤޤ͡
PowerBook G4 413ڡ 0:37:25 MAIL:masaru-y@sansu.org HomePage:27185
DrK
빽ּޤ­ƳڤȤȤϡƤʤȤʤΤˡΤޤޤˤƤޤȤǤʤäƤޤޤ
ҤäȤȡޤ뤵ޤƤʤȻפäΤǡäƤߤΤǤȤǹͤƤߤȡ˹礤ޤ͡
٤Ͼγڱࡡ 413ڡ 0:39:54 MAIL:satoka@star.odn.ne.jp 27186
ޤޤޤ뤿
äƤȤȡΰ̤ȤȤǡȤϣߡݣࣱȤʤ褦ˤҤƤޤ(ϡ)
413ڡ 0:55:20 27188
ERĹ
䤹ΤƬˤʤޤ(^^
413ڡ 1:07:38 27189
L'A
#27184򸫤ơäỌ̇̄狼ޤ
꤬Ȥޤ
413ڡ 1:07:39 27190

Ǥ䤳Ȥޤ٤Ф褦CRYING DOLPHINΤܤΡȤ˼̤ޤˡФʤ
­Ȣdzڤ졢­ȡdzڤ
ϡ(ܢ)­ȡǤ⢥Ǥڤ롡ġ
ȤΤԻ׵Ĥ뤫ʤǤ͡
413ڡ 1:11:21 MAIL:yhpnh760@ybb.ne.jp 27191

Ǥ䤳Ȥޤ٤Ф褦CRYING DOLPHINΤܤΡȤ˼̤ޤˡФʤ
­Ȣdzڤ졢­ȡdzڤ
ϡ(ܢ)­ȡǤ⢥Ǥڤ롡ġ
ȤΤԻ׵Ĥ뤫ʤǤ͡
413ڡ 1:12:19 MAIL:yhpnh760@ybb.ne.jp 27192
ä
Ҥƻ˷׻Ƥ麣ޤǤޤ
ԤǤ
#27184βˡФƤ褦ˤޤ
Ϥ 413ڡ 1:13:10 27193
Ϥ
#27184 Фʤ狼äդ򤷤ƤǤۤȤϤ狼ˤ⤦̲鿲ޤ䤹ߡ
413ڡ 1:29:14 27194

CRYING DOLPHINβˡ򸫤ơʤۤɡȤߤʤΤȴФǤ

ͤβˡϡȤơ
֣äȣdzڤפȡ֣äȣdzڤעᣱݣ
֣äȣdzڤפȡ֣äȣdzڤעᣱݣʣݣˡݣ
äơʣݣˤϣܿ顢Σΰ̤ϣˤʤ롣
ǡᣱܣȤ
ᣱʣܣˡݣ
ޤ֣äȣdzڤס顢
ܣᣱʣܣˡݣܣ
ᣱܣ
ᣱʣܣˡܣʣܣ
ꡢܣϣܿäƺǾΣᣱ
äơ
ᣱʣܣˡݣ
ᣱߣݣ

413ڡ 2:05:16 27195
ߤ
­Ȣdzڤ졢­ȡdzڤ
ϡ(ܢ)­ȡǤ⢥Ǥڤ롡ġ

βˡ꽸ʤɤǤ褯ʽ¿ʤΤǤ
ФʤΤѤǤޤǤޡˡܤξ֣äȣ
ڤפȤƤä;פ˵Ťˤġ
413ڡ 2:08:47 27196
ˤ
лܤϷͤǯƤ꤬äʤ
413ڡ 4:45:48 27197
ϥ饮㡼ƥ
Ϥ褦ޤ

ػߤƤץǤ10,000ʲȻפä
ץθõ٤ʤޤ
̶彣 413ڡ 8:17:44 HomePage:ĩ27198
uchinyan
ϤϤ褦ޤϡȾСǤ (^^;
¿ʬǾܿŬʿΤȻפA = 2 * 3 * 5 * 11 * 41 - 330 򸵤˹ͤޤ
30 ­Τ 11 dzɬפޤȤA Τ 11 dzޤ
ǡ41 - 30 = 11 դ41 dzϰϤ A ⾮ʤ褦ѷơ
B = 2 * 3 * 5 * 11 * 41 - 330 - 41 = 2 * 3 * 5 * 11 * 41 - 371 ͤȡ
B 30 ­ 11 dzޤ
ˡ5, 3, 2 ξĴ٤ȡξƤޤޤ
⾮ͤȤƤϡ41, 11 ξ狼ϡB - 41 * 11 * CC < 30 ʤɤǽǤ
ϡ5, 3, 2 ξƤߤ NG Τ褦ǤϡŻʤΤǡøǤ
ˡB = 2 * 3 * 5 * 11 * 41 - 371 = 13159 ǧڤƤߤ OK Ǥ
ǡ⤦ޤȤ˹ͤƤߤޤ͡
ͥνȡ 413ڡ 9:18:46 MAIL:uchi@sco.bekkoame.ne.jp 27199
ޡ
ƻǤ
壳Ĥξ郎ƤϤޤΤ񤭤ǣȵơ
ࣱ᣸ (mod11)
ࣱ᣸ (mod11) ꡤߣᣰ (mod11)Ȥʤͤ
ᣱʤΤǡܣߡʣݣˡݣᣲ
Ʊͤ
ࣴᣲ (mod41)
ࣴᣲ (mod41) ꡤ
ܣߡʣݣˡݣᣱ
ȽФޤ
#27184βˡϤޤäפĤޤǤ
413ڡ 10:12:13 27200
ޡ
ޤ󡤴ְ㤨ޤ
μϡܣߡʣݣˡݣᣱ
Ǥ
413ڡ 10:13:29 27201
DrK
#27184˶ᤤ
٤Ͼγڱࡡ 413ڡ 11:08:53 MAIL:satoka@star.odn.ne.jp 27202
Toru Fukatsu
Ҥ֤˽񤭹ߤޤξ;פȤĤǡ
2x3x5x11x41=13530ˡȤư̤˷ޤ뤳Ȥˤʤ櫓Ǥ͡
٤ȤǤʸȤ褤Ȼפޤ
413ڡ 11:23:09 27203
uchinyan
#27199򡢤⤦ŪˤޤȤƤޤ塢ƻʲˡ񤤤Ƥޤ
δطʤɤĴ٤Ƥ顢ˡ⸫Ĥޤ
ʤʸȤäƤޤ̩ˤϻǤϤʤǤޤ줰餤ϤǤ礦ȤȤ (^^;
ˤʤϡŬȤȤ֤Ƥ

(ˡ1)
§#27199ƱǤ
X ϡ2, 3, 5, 11, 41 κǾܿ 2 * 3 * 5 * 11 * 41 ȤˤơX = 2 * 3 * 5 * 11 * 41 * a + b Ƚ񤱤ޤ
41 ˴ؤ狼顢X = 2 * 3 * 5 * 11 * 41 * a - 330 + 41 * c Ƚ񤱤ޤ
11 ˴ؤ狼顢41 - 30 = 11 դơ
X = 2 * 3 * 5 * 11 * 41 * a - 330 - 41 + 41 * 11 * d = 2 * 3 * 5 * 11 * 41 * a - 371 + 41 * 11 * d Ƚ񤱤ޤ
5 ˴ؤ狼顢X = 2 * 3 * 5 * 11 * 41 * a - 371 + 41 * 11 * 5 * e Ƚ񤱤ޤ
3 ˴ؤ狼顢X = 2 * 3 * 5 * 11 * 41 * a - 371 + 41 * 11 * 5 * 3 * f Ƚ񤱤ޤ
2 ˴ؤ狼顢
X = 2 * 3 * 5 * 11 * 41 * a - 371 + 41 * 11 * 5 * 3 * 2 * g = 2 * 3 * 5 * 11 * 41 * (a + g) - 371
Ƚ񤱤ޤ
Ǹμǡa + g >= 1 ʤΤǡX Ǿˤʤˤϡa + g = 1 Ǥǡ
X = 2 * 3 * 5 * 11 * 41 - 371 = 1230 * 11 - 371 = 13530 - 371 = 13159
ˤʤޤ

(ˡ2)
Ѥ˽֤ˤäƤޤ׻ѤǤǤ⡢񤷤ϤʤǤ͡
2 ˴ؤ狼顢X = 2 * a + 1 Ƚ񤱤ޤ
3 ˴ؤ狼顢a = 3 * b + p, p = 0 2 ȤơX = 2 * 3 * b + 2 * p + 1 ʤΤǡ
(2 * p + 1) + 2 = 2 * p + 3 ꡢp = 0 ȷޤꡢX = 2 * 3 * b + 1 Ƚ񤱤ޤ
5 ˴ؤ狼顢b = 5 * c + q, q = 0 4 ȤơX = 2 * 3 * 5 * c + 6 * q + 1 ʤΤǡ
(6 * q + 1) + 6 = 6 * (q + 1) + 1 = 5 * (q + 1) + (q + 2) ꡢq = 3 ȷޤꡢ
X = 2 * 3 * 5 * c + 19 Ƚ񤱤ޤ
11 ˴ؤ狼顢c = 11 * d + r, r = 0 10 ȤơX = 2 * 3 * 5 * 11 * d + 30 * r + 19 ʤΤǡ
(30 * r + 19) + 30 = 30 * (r + 1) + 19 = 11 * (2 * (r + 1) + 1) + 8 * (r + 2) ꡢr = 9 ȷޤꡢ
X = 2 * 3 * 5 * 11 * d + 289 Ƚ񤱤ޤ
41 ˴ؤ狼顢d = 41 * e + s, s = 0 40 ȤơX = 2 * 3 * 5 * 11 * 41 * e + 330 * s + 289 ʤΤǡ
(330 * s + 289) + 330 = 330 * (s + 1) + 289 = 41 * (8 * (s + 1) + 7) + 2 * (s + 2) ꡢs = 39 ȷޤꡢ
X = 2 * 3 * 5 * 11 * 41 * e + 330 * 39 + 289 = 2 * 3 * 5 * 11 * 41 * e + 13159 Ƚ񤱤ޤ
Ǿ X Τǡe = 0 ȤơX = 13159 ˤʤޤ

(ˡ3)
(ˡ2)ȼ¼ƱʤΤǤ(ˡ1)Τ褦ˡ;ޥʥˤƤߤΡ
ܼŪ˺ϤʤΤǤˤäƤߤơ֤䡩פȻפ(ˡ4)˵դΤǡ񤤤Ƥޤ
2 ˴ؤ狼顢X = 2 * a - 1 Ƚ񤱤ޤ
3 ˴ؤ狼顢a = 3 * b - p, p = 0 2 ȤơX = 2 * 3 * b - 2 * p - 1 ʤΤǡ
- 2 * p - 1 + 2 = - 2 * p + 1 ꡢp = 2 ȷޤꡢX = 2 * 3 * b - 5 Ƚ񤱤ޤ
5 ˴ؤ狼顢b = 5 * c - q, q = 0 4 ȤơX = 2 * 3 * 5 * c - 6 * q - 5 ʤΤǡ
- 6 * q - 5 + 6 = - 6 * q + 1 = - 5 * q + (- q + 1) ꡢq = 1 ȷޤꡢ
X = 2 * 3 * 5 * c - 11 Ƚ񤱤ޤ
11 ˴ؤ狼顢c = 11 * d - r, r = 0 10 ȤơX = 2 * 3 * 5 * 11 * d - 30 * r - 11 ʤΤǡ
- 30 * r - 11 + 30 = 30 * (- r + 1) - 11 = 11 * (2 * ( - r + 1) - 1) + 8 * (- r + 1) ꡢr = 1 ȷޤꡢ
X = 2 * 3 * 5 * 11 * d - 41 Ƚ񤱤ޤ
41 ˴ؤ狼顢d = 41 * e - s, s = 0 40 ȤơX = 2 * 3 * 5 * 11 * 41 * e - 330 * s - 41 ʤΤǡ
- 330 * s - 41 + 330 = 330 * (- s + 1) - 41 = 41 * (8 * (- s + 1) - 1) + 2 * (- s + 1) ꡢs = 1 ȷޤꡢ
X = 2 * 3 * 5 * 11 * 41 * e - 330 - 41 = 2 * 3 * 5 * 11 * 41 * e - 371 Ƚ񤱤ޤ
Ǿ X Τǡe = 1 ȤơX = 13159 ˤʤޤ

(ˡ4)
(ˡ1)(ˡ2)Ĥʤ褦ȻפäƻˤäƤߤ(ˡ3)顢դˡ
(ˡ3);ʬȡǽʳϾѿ 1 ȤʤꡢΤȤ;꤬ξγˤʤäƤޤ
ϲʡȻפƹͤ줿ΤβˡǤ
̤ˡa, b ߤǤȤơa ä b dzڤ졢b ä a dzڤϡa + b ä ab dzڤޤ
ºݡa ä b dzڤϡn * b - a Ƚ񤱤ޤ b ­ (n+1) * b - a ʤΤǡ
a, b ߤǤΤȤϡn+1 a dzڤɬפޤ
ǡn = m * a - 1 ˤʤޤΤȤο n * b - a ϡm * a * b - a - b ˤʤΤǡa + b ä ab dzڤޤ
ˡΤȤκǾοϡm = 1 ǡa * b - a - b Ƚ񤱤ޤ
褦äϡΤβˤä褦ʵ⤷ޤ
Ȥȡ
2, 3 ˴ؤ狼顢ǽΤϡ6 * p + 1 ǤϡۤɤΤȤϻȤޤ󤬡ܤλҤʬޤ
ơ餬ݥȤǤ6 * p + 1 ϡ5 ä 6 dzڤޤ
5 ˴ؤ狼顢٤Ͼ嵭ΤȤȤơǽΤϡq * 5 * 6 - 5 - 6 = 30 * q - 11 Ǥ
Ƥϡ11 ä 30 dzޤ
11 ˴ؤ狼顢ǽΤϡr * 11 * 30 - 11 - 30 = 330 * r - 41 Ǥ
Ƥϡ41 ä 330 dzޤ
41 ˴ؤ狼顢ǽΤϡs * 41 * 330 - 41 - 330 = 13530 * s - 371 Ǥ
Ǥ٤ƤξǤޤ
äơǾο X ϡs = 1 ȤơX = 13530 * 1 - 371 = 13159 ˤʤޤ
ͥνȡ 413ڡ 14:44:04 MAIL:uchi@sco.bekkoame.ne.jp 27204
LL
ǸκǸǤְ㤤#27204
413ڡ 13:18:28 27205
LL
ǸκǸǤְ㤤#27204
413ڡ 13:19:14 27206
LL
񤭹ߤ򽪤ǥɤ򲡤Ȥʤä㤦Ǥ͡
ޤǤ
413ڡ 13:22:37 27207
uchinyan
#27205
Ŧ꤬Ȥޤޤ
ͥνȡ 413ڡ 14:14:11 MAIL:uchi@sco.bekkoame.ne.jp 27208
uchinyan
ǼɤߤޤʬäϰϤǡ

ʤꡢToru Fukatsu#27203
Ҥ֤˽񤭹ߤޤξ;פȤĤǡ
2x3x5x11x41=13530ˡȤư̤˷ޤ뤳Ȥˤʤ櫓Ǥ͡
֥󡪡׳ΤˤǤʾ;ޤ͡ä orz
٤ȤǤʸȤ褤Ȼפޤ
ΤˡȻפäƤ褦Ǥ (^^;

#27174, #27183, #27198
ץ϶ػߤȤΤȤǤ^^;
Ǥ⡢ˤ֥ץȤǤ͡ꤤפȤǤͤ

#27176, #27184, #27185, #27202 (, #27186)
#27204(ˡ4)ƱǤ⤹ʤդʤơϡɡȾޤ
#27184
䢪ܿ꣱äȣdzڤ롣
֢ܿ꣱礭ϡ֢ܿꣵפǤ͡
#27185
ǽξ֣äȣdzڤפɤؤСǽǤޤ͡
Τˡࡥ

#27177, #27181, #27195
餫ˡǡ123 ܿͤˡˡϻפĤޤǤ
ζŪʤƱʤΤǤ礦

#27178, #27188, #27191, #27193
ܺ٤ʬޤ󤬡⤬ƻʡǤ¤ʲˡȻפޤ
ˡϤʡ餫ˡǡǸϡ׻ʤΤǤ礦
ʤۤɡΤˡ϶ػߤǤϤʤǤ ^^;
Ǥ⡢ޡȤǤϤʤȤ⡢¤˲򤱤뤳ȤڤȻפޤ
#27196
䤦ФʤΤѤǤޤǤޡˡ
ͤˡ򤿤Ƥ⡢ȤդƤʤа̣ʤǤ͡ʬäƤƤ⡢ȤäˤϽФʤ
ˤǤ

#27179
#27204(ˡ2)˶ᤤΤʡ

#27180, #27197
Ϥˤޤ͡褦ꡣäǯǤ

#27199
κǽβˡ#27204(ˡ1)ƱǤ
ʤФƤ뼰 330 * 41 - 371 Ǥ#27176, #27184դȤϡʬͤ㤤ޤ

#27200
#27204(ˡ2)ƱǤ
ͥνȡ 413ڡ 14:47:09 MAIL:uchi@sco.bekkoame.ne.jp 27209
uchinyan
#27203, #27209­
Ҥ֤˽񤭹ߤޤξ;פȤĤǡ
2x3x5x11x41=13530ˡȤư̤˷ޤ뤳Ȥˤʤ櫓Ǥ͡
ٶΤˡξ;פ˽äƵƤߤޤѤˤʤäƤޤޤ
褤ҤФ˿򤷤ʤ褦 (^^;

(ˡ5)
ϡιƱ򤯤Ȥˤʤޤ
x - 1 (mod 2)
x - 2 (mod 3)
x - 6 (mod 5)
x - 30 (mod 11)
x - 330 (mod 41)
桼åɤθ߽ˡʤɤ顢ºݤˤܤλҤǡ
(-1) * 2 + (+1) * 3 = 1
(-2) * 2 + (+1) * 5 = 1
(-5) * 2 + (+1) * 11 = 1
(-20) * 2 + (+1) * 41 = 1
(+2) * 3 + (-1) * 5 = 1
(+4) * 3 + (-1) * 11 = 1
(+14) * 3 + (-1) * 41 = 1
(-2) * 5 + (+1) * 11 = 1
(-8) * 5 + (+1) * 41 = 1
(+15) * 11 + (-4) * 41 = 1
ޤȤȡιƱޤ
((+1) * 3) * ((+1) * 5) * ((+1) * 11) * ((+1) * 41) 1 (mod 2), 0 (mod 3), 0 (mod 5), 0 (mod 11), 0 (mod 41)
((-1) * 2) * ((-1) * 5) * ((-1) * 11) * ((-1) * 41) 0 (mod 2), 1 (mod 3), 0 (mod 5), 0 (mod 11), 0 (mod 41)
((-2) * 2) * ((+2) * 3) * ((+1) * 11) * ((+1) * 41) 0 (mod 2), 0 (mod 3), 1 (mod 5), 0 (mod 11), 0 (mod 41)
((-5) * 2) * ((+4) * 3) * ((-2) * 5) * ((-4) * 41) 0 (mod 2), 0 (mod 3), 0 (mod 5), 1 (mod 11), 0 (mod 41)
((-20) * 2) * ((+14) * 3) * ((-8) * 5) * ((+15) * 11) 0 (mod 2), 0 (mod 3), 0 (mod 5), 0 (mod 11), 1 (mod 41)
ñˤȡäȤñǤϤʤ
6765 1 (mod 2), 0 (mod 3), 0 (mod 5), 0 (mod 11), 0 (mod 41)
4510 0 (mod 2), 1 (mod 3), 0 (mod 5), 0 (mod 11), 0 (mod 41)
-10824 0 (mod 2), 0 (mod 3), 1 (mod 5), 0 (mod 11), 0 (mod 41)
-196800 0 (mod 2), 0 (mod 3), 0 (mod 5), 1 (mod 11), 0 (mod 41)
11088000 0 (mod 2), 0 (mod 3), 0 (mod 5), 0 (mod 11), 1 (mod 41)
ǡ
x 6765 * (-1) + 4510 * (-2) + (-10824) * (-6) + (-196800) * (-30) + 11088000 * (-330) (mod 2 * 3 * 5 * 11 * 41)
x -3653086841 (mod 13530)
x -3653086841 + 13530 * 270000 (mod 13530)
x 13159 (mod 13530)
äơX = 13159 ˤʤޤ
ˡΤäˤʤޤ
ͥνȡ 414ʶ 12:31:48 MAIL:uchi@sco.bekkoame.ne.jp 27210
ޤ棱
ޤơꤤޤ꤬ϤDz򤱤ΤϽƤǤ

äǤˤĤ
ͤϤʤ񤭽Фޤ^^;
413ڡ 18:34:02 27211
ޥ
#27203
> ٤ȤǤʸȤ褤Ȼפޤ

ȡΤˤ̤ǡ¿¤äΤǤֻפǤΤǡοϡ棱κǽΤۤ˳ؽ복ǰʤΤǡɤʡȻפääĤޤǤ
ޤΤȤοǤβϤʤ褦ʤΤǡɤ..ȡ(^^;;
PowerBook G4 413ڡ 21:45:08 MAIL:masaru-y@sansu.org HomePage:27212
⡼ޥ
äޤ
䤳ä
ߤʤβ򤳤줫ٶƤޤ

ɤߤޤߤʤ󥻥󥹤ʤ
ХޡȤˡľΤ˵դʤäʤ

錄ΤϤƻ

x+1=2a
x+2=3b
x+6=5c
x+30=11d
x+330=41e
ʤΤǡ
edⲼ9
e=(300+11d)/41=7+(13+11d)/41
(13+11d)/41=a
13+11d=41a
d=3a-1+(8a-2)/11
a=3,d=10,e=10
a=14,d=51
a=25,d=92aϡ11dβ夬1Τǡ
a=36,47,58,69,80,91,102
a=102,d=379,e=109
41*109-330=41392­ƣܿ+1
a=212,d=789,e=219
41*219-330=86492­3ܿ+2
a=322,d=1199,e=329
41*329-330=13159 줬2­3ܿ+3 ǽƾ
ʤȴǤ뤫ǽξƤ뤷夬ʤΤǣ­УܿƤ롣ϡ夬Τǡ2­3 ܿˤʤΤ򸫤ĤФȤƱ

ޤ餤ñ˲򤱤ƤΤߤ;ס
ޤԥƤʤΤǤäȿƤޡ
414ʶ 0:40:59 MAIL:kennji72001@yahoo.co.jp 27213
VBScript
WindowsǥĢ򳫤

Dim X
For X = 1 To 20000 Step 2
If (X + 1) Mod 2 = 0 Then
If (X + 2) Mod 3 = 0 Then
If (X + 6) Mod 5 = 0 Then
If (X + 30) Mod 11 = 0 Then
If (X + 330) Mod 41 = 0 Then
MsgBox("ϡ" & X & "פǤ")
End If
End If
End If
End If
End If
Next

Ϥơsansu.vbsפ̾դ¸ơΥե򥯥å
413ڡ 23:43:44 27214
ܥإߥ
ʸΨľˡפϰϤĴ٤ȡ-371,-13901ʤɤ褦ǤŪȤˡ§Ū¸ߤƤΤǤ礦顢Τϡ̵¾ס뤤ϡֻοǤϵҤʤפǤϤʤǤ礦

äƿŪǤϤʤΤǤ礦͡ä

414ʶ 1:13:04 27215
ֿء׾ι
ޥ뤵˻ɷ㤵ơ錄ץĩ路Ƥߤޤ
Risa/AsirȤäƤߤޤ
def sansu497(){
I=0;
while(1){
N=41*I-330;
if(N>0){
if((N+30)%11==0&&(N+6)%5==0&&(N+2)%3==0&&(N+1)%2==0){
return(N);
}
}
I++;
}
}
414ʶ 1:22:33 27216
uchinyan
⡼ޥ󤵤βˡ(#27213)򸫤Ƥơ֤줬äʡפȻפФˡ
¿ʬ䤬⹻ΤȤä顢äȻפޤ
ʸȤޤʤΤǡǤϤʤޡȤǤʤǤ
󸵰켡ƻ˲򤯡Ọ̇̄ǡʤŪDZѤˡǤ
ݥȤϡ桼åɤθ߽ˡŪʥ르ꥺǤ
פФƤ줿⡼ޥ󤵤˴ ^^/

(ˡ6)
ѤʸͤϡȤޤ
X ǡκǾȤΤ x Ȥޤȡ
x + 1 = 2a, x + 2 = 3b, x + 6 = 5c, x + 30 = 11d, x + 330 = 41e
ϰϤDz򤱤ФǤ
a μ顢
x = 2a - 1
b μ顢
3b = (2a - 1) + 2 = 2a + 1
2a = 3b - 1
a = b + (b - 1)/2
ξդˤʤˤϡ
b = 2p + 1
Ǥǡ
x = 6p + 1
ȡc μ顢
5c = (6p + 1) + 6 = 6p + 7
c = p + 1 + (p + 2)/5
ξդˤʤˤϡ
p = 5q - 2
Ǥǡ
x = 30q - 11
ȡd μ顢
11d = (30q - 11) + 30 = 30q + 19
d = 2q + 1 + (8q + 8)/11
ξդˤʤˤϡ
q = 11r - 1
Ǥǡ
x = 330r - 41
ȡe μ顢
41e = (330r - 41) + 330 = 330r + 289
e = 8r + 7 + (8r + 8)/41
ξդˤʤˤϡ
r = 41s - 1
Ǥǡ
x = 330 * 41 * s - 330 - 41 = 13530 * s - 371
ˤʤޤ
X ϡx x > 0 ȤʤǾΤΤʤΤǡs = 1 Ȥơ
X = 13530 * 1 - 371 = 13159
ˤʤޤ

⡼ޥ󤵤ء
ǤȹפƤޤषǸޤǰ̲ȤƲ򤤤Ƥޤäå򤱤褦Ǥ
ͥνȡ 414ʶ 11:45:26 MAIL:uchi@sco.bekkoame.ne.jp 27217
uchinyan
#27215
ܥإߥ󤵤ءȾо̤ʤΤʡȤפޤ^^;
X κǾǤ뤳Ȥ˺ȡ̤ˡX = 13530 * k - 371k Ƚ񤱤Τǡ
ΰ̣ǤκǾϡ¸ߤʤȤΤŪȻפޤ
ʤϷ̿Ǥ
̵¾ס
¿ʬ֥ޥʥ̵פΰ̣ǡ̵¾פȤääƤȻפޤ
̵¾פϡ̾ָ¤ʤ˶ᤤɣǤʤ֡(Ȥϸʤۤ褵Ǥ)
㤨С1/n n 򤹤礭֡ΰ̣ǻȤ褦Ǥ
㤤»ʤȻפΤǡդ줿Ȼפޤ
ΡƱȤƤ˽񤤤ơ˸줿줤ޤ
ͥνȡ 414ʶ 11:54:39 MAIL:uchi@sco.bekkoame.ne.jp 27218
⡼ޥ
#27217
uchinyanء
ʬ䤹ˡ꤬Ȥޤ
ʤǤ줤˲򤱤ޤ͡ʶäꤷޤ(^^)
414ʶ 13:01:58 MAIL:kennji72001@yahoo.co.jp 27219
issei
27184ȤۤȤɤʤˡDz򤭤ޤ򤱤ȤۤȤˤäꤷޤ
414ʶ 20:18:22 27220
⡼ޥ
䤫Τޤ󤬡

ͤϡ330*41-(330+41) ǤϤޤޤʤǤ礦
414ʶ 22:07:29 MAIL:kennji72001@yahoo.co.jp 27221
ܥإߥ
#27218
uchinyan󡢡̵¾פΰ̣򤴶ޤƤ꤬Ȥ
ޤϡҲʳءäϤοͤ߷ˡءˤνп
ԤǡʸˤɽˤϸʤˤȻƳƤΤǤ麣
ν󤬡ֻפפȤСפϰϤ˸
ꤵȹͤ٤ȤΤˤϡ㤷򴶤櫓
Ǥ

䤬̵¾פΰ̣㤨Ƥ褦ˡҲʳؤ̩˳
ʹ֤ˤȤäơϤҲʹ֡ŷȤȤ
ʸθѡŪϤ󤶤ꤷƤޤΤǤȾʬ
ԤǤ

Ȥˤ¦ʸΰ̣мव褦ʽʸϡ
ʬƹͤȤäֿءץ٥ǤϤʤŪ˹ͤƤ
٥ΡֻפǤŬڤʤΤǤϤ󤸤ȤϤ
νߤƤΤ褦ʴͿ褦Ǥ餪ͤӤ
ޤ

Ȥǵޥ뤵ޡuchinyanνФ줿äȤ⸷ʤ
ΰ̣ǤκǾϡ¸ߤʤפǤϤηǼĤ
ΤǤ礦
414ʶ 23:35:02 27222
uchinyan
#27221
亣ͤϡ330*41-(330+41) ǤϤޤޤʤǤ礦
󡼤ȡޤΰ̣褯İǤƤʤΤǤ
#27204(ˡ4)ΰ̣a * b - (a + b) ηˤʤ롢Ȥ̣ǤϡȤȤϡ#27184ΰ̣Ǥ⤫ʡɬǡ
ʤ褦꤬Ƥ롢ȤȤʤΤǤϤʤΤǤ礦
ϡޥ뤵ˤĺΤʡ
ͥνȡ 414ʶ 23:58:23 MAIL:uchi@sco.bekkoame.ne.jp 27223
⡼ޥ
#27223
uchinyanء
#27184 ΰ̣ʬޤΤ褦꤬ƤäƤȤǡޤޤߤǤ͡
415ڡ 8:52:09 MAIL:kennji72001@yahoo.co.jp 27224
ޥ
#27223
> ʤ褦꤬Ƥ롢ȤȤʤΤǤϤʤΤǤ礦

Ϥ̤Ǥϡ裵ȯŸΤǤơ

#27222
> Ȥǵޥ뤵ޡuchinyanνФ줿äȤ⸷ʤ
> ΰ̣ǤκǾϡ¸ߤʤפǤϤηǼĤ

ޤ...

ŻϻǤϤʤƿؤʤΤǡʸȤƤϡפʤи̩ˤΩʤȤϽš򤷤ƤΤǤʤȤʤǤ虜虜ΡפΤȻפäƤʤäǤʺϾλüԤ¿褦ǤɡοǤǽͤʤä褦Ǥ...ޤäƤʤΤǤˤäȸȡоݤΡֻפˡΡפ줿ȤƤ⡢ˤϡäƲפȤȤˤʤ櫓ǡ̤θʣ礭ȤˤˤʤƤϤʤޤ󤱤..(^^;;

ޤ֣礭פȰвʤä櫓ǤơϤϤ٤Ȥ٤ʤΤȻפޤȤ櫓ǡʸˡ֣礭פǤ뤳Ȥ񤫤ƤȤˤޤǤ򤪤ƿޤǤm(__)m
PowerBook G4 415ڡ 11:09:14 MAIL:masaru-y@sansu.org HomePage:27225
tapu
4111κǾܿ451˰ΰ̤9ˤʤ뤿919Ƚ˳ݤƹԤޤ45129110+30ǣ+23򥯥ꥢ򸫤Ĥޤ
416 10:22:21 27227
ERĹ
ʲEXCEL VBAץǷ׻Ƥߤޤ(^^;ʲ˿͡

----------------------------------------------------------
Option Explicit

Sub ׻()

Dim i As Long, j As Long

With Worksheets("sheet1")

j = 1

For i = 1 To 1000000

If (((i + 1) Mod 2 = 0) And ((i + 2) Mod 3 = 0) And ((i + 6) Mod 5 = 0) And ((i + 30) Mod 11 = 0) And ((i + 330) Mod 41 = 0)) Then
.Range("A" & j).Value = i: j = j + 1
End If

Next

End With

End Sub

----------------------------------------------------------
100,0000ޤǵƤߤȤդʺǾͤȤ
ޤˤ73Ĥꡢx=1,2,,73,y=13159,26689,,987319
Ȥǥդ˥ץåȤȤy=13530x-371Ȥط
ޤ
416 12:55:49 27228