٥륯åĥ
72053230ġ
1ξ29̤ꡣ
1Ǥʤ硢
23Ȥ8̤ꡢ25Ȥ4̤ꡢ35Ȥ2̤ꡢ
235Ȥ8324̤ꡣ
67̤ˤʤäǤְäƤǤ礦
822ڡ 0:19:05 48347
Ȥ
Basic ͭ⡼ɤˤ

FOR a=1 TO 720
IF MOD(720,a)<>0 THEN GOTO 20
FOR b=a+1 TO 720
IF MOD(720,b)<>0 THEN GOTO 10
IF gcd(a,b)=1 THEN LET s=s+1
10 NEXT b
20 NEXT a
PRINT s
END

f9ơ67()
˭ԡ 822ڡ 0:21:34 MAIL:fttnm528@ybb.ne.jp 48349
٥륯åĥ
꤬Τޤޤä褦Ǥ͡
ޥ뤵ͤǤ
822ڡ 0:27:47 48350
algebra
7202^43^25129ġ25ġ2^24ġ2^33ġ2^42ġ
38ġ3^25ġ511ġäơ295432851167()
822ڡ 0:35:10 48351
ߤ
Τ
ʣ˰ˣޤࡢޤޤʤʣߣߡȰʲάˢ
ʣ¡ˣߢ
ʣáˣ
ʣġˣߣ
ʣšˣߣߢ
ʣơˣߣ
ʣǡˣߣߣ
ʣȡˣߣߣߢ

ȤΤϣšơǡȤΣĢʤߣᣲ̤ꡣ
Ʊͤˣ¤ȤΤϣ̤ꡣ
â̤ꡢĢ̤ꡢŢ̤ꡢƢ̤ꡢǢ̤ꡢȢ̤ꡣ
ޤǤιפϣ̤㥤ξ郎Τǣࣲ᣶̤ꡡ
822ڡ 0:37:54 48352

٤Ƥޤޤ
720=2^43^25
=1ΤȤ¾29Ĥ򥤤Ȥ29̤꤬롣
ǰƤȤ1ʳȤϸߤǤˤʤʤ
ä1Ĥǰ̤1Ĥޤ2Ĥǰޤȹ礻ͤ롣
{ȭ}42=8
{ȭ}41=4
{ȭ}21=2
{ȭ}421=8
{ȭ}241=8
{ȭ}142=8

29+8+4+2+8+8+8=67̤ꡣ
822ڡ 0:52:26 48353

72030ġ30x30=900̤Ȥ߹碌饹ȡ
2 ǰ˴ޤޤʤȤ߹碌γ 9/25
3 ǰ˴ޤޤʤȤ߹碌γ 5/9
5 ǰ˴ޤޤʤȤ߹碌γ 3/4
ˤߤǤȤʤȤ߹碌 900x(9/25)x(5/9)x(3/4)=135̤ꡣ
Ȥ߹碌 (1,1) 134̤ꡣ
羮طξˤȾʬ 67̤ꡣ
822ڡ 1:11:25 48354
ǯ
٥륯åĥ#48347ƱǤ
720=2*2*2*2*3*3*5
1Ȥ¾Ȥȡ(4+1)(2+1)(1+1)-1=29
a=1,2,3,4b=1,2Ȥ
2^a3^bȤȡ4*2=8
2^a5ȡ4*1=4
3^b5ȡ2*1=2
2^a(3^b5Ȥ߹碌)ȡ4*(2*1)=8
3^b(2^a5Ȥ߹碌)ȡ2*(4*1)=8
5(2^a3^bȤ߹碌)ȡ1*(4*2)=8
67
Jޥޤ#48383ȤƱǤʸ򷫤֤ΤޤǤ
822ڡ 1:27:01 48355
ˤ
Ŭ˿ޤ
Ķļˡ 822ڡ 6:30:04 HomePage:ޤޤ48356
鯤ο
7202^43^25
{(4*2+1)*(2*2+1)*(1*2+1)-1}/2=67
//
822ڡ 7:41:38 48357

Ĥ⤳뤫ǧƤΤǤ줺ʤȤɤΤǤϤλ⡼ɡäDzΤʤʾ˴ְ㤨¿ΤǤˤǡߤޤäƤޤ
¿ΤߤʤƱʬǿޤ㤤ϥ򸵤˾ʬǡ
̤
ϣߣǡ礭ΤʤΤ
5̤ꡡ̤ꡡ̤ꡡ̤
Ƥʶ˿ޤߣФƣʣˤΤ򤦤äꤷƤƻ֤⤫ޤ
ŤߤäǤ
Ϻꡡ 822ڡ 21:08:43 48358
ˤ⡼
720=2^43^25ռƻ˿夲Ǥ

A=1 B: 2^43^25Τ1 29
A=2 B: 3^25Τ1 5
A=3 B: 2^45Τ1.2 8
A=4 B: 3^25Τ1.3 4
A=5 B: 2^43^2Τ1.2.3.411
A=8 B: 3^25Τ1.3.5 3
A=9 B: 2^45Τ1.2.4.5.8 5
A=15 B: 2^4Τ16Τߡ 1
A=16 B: 3^25Τ16Τ 1

ף
ФȤϻפ̲ȤơA>BA<BоѤƤߤ褦Ȼפ

ʣϢ³ŲιԤ򴺹Ԥٻλ˾ǰˤ⡼
¡ 822ڡ 21:40:01 HomePage:ͥĤäƤߤ48359
鯤ο
ޤᥤξκȤʤΤϡᥤ1ξ
䥤ξ()ȤκȤʤοȡ
㥤ξ()ȤκȤʤοϰפ뤫顢
羮̵뤷()ȤκȤʤοXޤС
ϡ(X-1)/2Ȥʤޤ

ˡ7202^43^25ܤơǰʬ
2^a * 3^b * 5^c (0a4,0b2,0c1)
2^x * 3^y * 5^z (0x4,0y2,0z1)
Ȥȡ

()Ȥκ
(a,x)(0,0)(0,1)(0,2)(0,3)(0,4)(1,0)(2,0)(3,0)(4,0)9̤Τɤ줫
ġ(b,y)(0,0)(0,1)(0,2)(1,0)(2,0)5̤Τɤ줫
ġ(c,z)(0,0)(0,1)(1,0)3̤Τɤ줫Ǥ롣

顢X9*5*3135ǡϡ(X-1)/267

ιͤǹԤС̲򤬵ޤ
823ʶ 0:21:24 48360
ϥ饮㡼ƥ
ƻǤ
ԡ 823ʶ 16:06:28 MAIL:tfuruya@aria.ocn.ne.jp HomePage:湩ؤ˥48361
ֿء׾ι
Ƶ٤ߤϡޤäФ㤷ޤ͡
ǽ顢ȥ򤫤720ˤʤȴ㤤Ƥޤޤ
ۤȡǤʡo
824ڡ 6:44:04 48362
Ϸ
Ʈޤ
롼룲ˤˤϣޤޤʤȻפäƤޤ
˥ᣱȤƣƤߤޤ
ƬνƤޤ
825 17:01:52 48363
Ѥ
路ޤǸ10BASICdzǧޤ
827ʲС 11:00:12 48364
N
ǰʬ򤷤̣ˡ׻4ʬ
828ʿ 8:49:34 48365