ޥ
ޤƤǤȤޤǯꤤޤm(__)m
MBP 12ڡ 0:11:34 HomePage:48651
٥륯åĥ
ޤƤǤȤޤ

60ȤǹͤƤߤޤ
Ȥ15ʤ顢1/60ߡ1+5ˤ5/60ߡ1+5ˤȺޤ
1116011ȡ22ܿʳˤ3ȡ23ȡ

ǽ顢11˺22ȤäƤޤޤ

2ܿʳΤȤߤǤȤ߹碌ˤʤȽʣ뤿Ǥ

12ڡ 0:23:47 48652
algebra
1/601/a1/b (ab) Ȥȡab60a60b (a60)(b60)3600
36002^43^25^2 (41)(21)(21)45
äơĿ (45+1)/223()
12ڡ 0:14:49 48653
ޥ
褦Ȥȡ󼡼ФΤ̤ʤΤǤɤ...ȻפäΤǤѿޤ񤱤СꥮOK...פȤȤǽꤤޤm(__)m
MBP 12ڡ 0:19:26 HomePage:48654
ǯ
ޥ͡᡹꤬Ȥޤ
ϤƤä٤ߤȻפäƤޤ

3600=2^4*3^2*5^2
(2^2*3*5)*(2^2*3*5)Τ
ΤʤۤʤȤ߹碌ϡ(5*3*3+1)/2=23
ǽ顢οФꡢ9ǰʬ򤹤Τ˺Ƥꤷƻ֤򿩤ޤ
12ڡ 0:23:58 48655
⡼ޥ
ޤƤǤȤޤ
ǯ󥸡!! Orzv

ߤʤƱǤ...^^
(x-60)(y-60)=3600=2^4*3^2*5^2
ʤΤϡ2^2*3*5ƱΤΣʤΤǡ
(5*3*3-1)/2+1=23
12ڡ 0:31:50 48656
٥륯åĥ
äʬˤΤ­
פˡ1ˤʤäơʬ60ܤƴʬˤȤʬҤ1ˤʤΡǤ
12ڡ 1:01:39 48657
Ȥ
=a,=bȤ
1/60=1/a+1/b
1=60/a+60/b=(60*b+60*a)/(a*b)
a*b=60*b+60*a
a*b-60*a-60*b=0
(a-60)*(b-60)=3600 ꡡBasic

PRINT TIME$
FOR a=61 TO 3660
FOR b=a TO 3660
IF MOD(3600,b-60)<>0 AND MOD(3600,a-60)<>0 THEN GOTO 20
IF 1/60=1/a+1/b THEN LET s=s+1
10 NEXT b
20 NEXT a
PRINT s
PRINT TIME$
END

01:06:40
23()
01:06:41
˭ԡ 12ڡ 1:11:21 MAIL:fttnm528@ybb.ne.jp 48658
鯤ο
ᡢȤ
ϡ⡼ޥ󤵤ƱǤ
˺Ƥޤ

12ڡ 2:00:08 48659
̴
ޥ

ޤƤǤȤޤ轵νѤ
פޤǯⶽ̣Ǥ뤯ʤĤĤǾ
äĺԤƤޤ
ٻΤ桡 12ڡ 8:49:14 48660
Ȼ
ޤƤǤȤޤ
12ڡ 12:40:45 48661
M
from fractions import Fraction
score = 0
a = Fraction (1,60)
for i in range (61,121):
b = Fraction(1,i)
for n in range (i, 10000):
c = Fraction (1,n)
if b + c ==a:
print (a,b,c)
score += 1
print (score)
12ڡ 12:52:46 48662
M
pythonꤷޤ
12ڡ 12:53:00 48663
Ȥ
#48658

ߤޤ󼫸ʥ쥹ǡf91ˤʤäƤΤ

PRINT TIME$
OPTION ARITHMETIC RATIONAL
FOR a=61 TO 3660
FOR b=a TO 3660
IF MOD(3600,b-60)<>0 AND MOD(3600,a-60)<>0 THEN GOTO 20
IF 1/60=1/a+1/b THEN LET s=s+1
10 NEXT b
20 NEXT a
PRINT s
PRINT TIME$
END

!!ˤߤޤǤ!!
˭ԡ 12ڡ 22:42:21 MAIL:fttnm528@ybb.ne.jp 48664
ˤ⡼
1/60= 1/x + 1/y ĭ
xy 1/x1/y
äơ1/602/yy120
ޤ1/x >0 1/y<1/60 60<y
yǤ뤳Ȥ顢61y120 ĭ

ꡢx=60y/(y-60)ĭ

ǡ60=2^235Ǥ뤳ȤƧޤ
xǤ뤿ˤϡyΰ1235ǹɬפ롣
դʬ졦y-60ˤĤơ
1y-6060
ˡyˣʾǿȡʬҤˤϡǿΤ
ʬy-60ˤϤǿʤ椨ˡxˤʤʤ

y-60ϡyƱ1235ǹ
60ޤǤǤꡢȤ23

ʾͤ˲򤤤ɡäݤäʡʬΤȤϳ줬Ф
¡ 12ڡ 22:50:32 HomePage:˥ͥäΥڡ48665
a
ʲ23̤ꡣ

1/60 = 1/120 + 1/120
1/60 = 1/132 + 1/110
1/60 = 1/135 + 1/108
1/60 = 1/140 + 1/105
1/60 = 1/150 + 1/100
1/60 = 1/160 + 1/96
1/60 = 1/180 + 1/90
1/60 = 1/204 + 1/85
1/60 = 1/210 + 1/84
1/60 = 1/240 + 1/80
1/60 = 1/260 + 1/78
1/60 = 1/285 + 1/76
1/60 = 1/300 + 1/75
1/60 = 1/360 + 1/72
1/60 = 1/420 + 1/70
1/60 = 1/460 + 1/69
1/60 = 1/510 + 1/68
1/60 = 1/660 + 1/66
1/60 = 1/780 + 1/65
1/60 = 1/960 + 1/64
1/60 = 1/1260 + 1/63
1/60 = 1/1860 + 1/62
1/60 = 1/3660 + 1/61
13ʶ 1:58:10 48666
ֿء׾ι
ߤʤ󡢤ޤƤǤȤޤʡ
ǯꤤޤ

ǯ᡹٤ޤʡ
ȤǸߤǤˤʤΤޤ
13ʶ 7:31:35 48667
SECOND
FOR i=61 TO 1e9 !¤ʤ̵ߤĤ֤ m=(..)=m
LET a=1/(1/60-1/i) ! ؿ()
IF a< i THEN EXIT FOR ! ž λ
IF FP(a)=0 THEN ! ξ ᣰ
LET n=n+1
PRINT USING "!##) #### ####":n,a,i
END IF
NEXT i

! 1) 3660 61 !BASIC¹Է̡10msʲ
! 2) 1860 62
!(
!) ά
!21) 135 108
!22) 132 110
!23) 120 120
14ڡ 13:00:11 48668
algebra
a6060b6060(a60)(b60)36002^43^25^2
(ab)ꡤ0ab Ȥʤꡤ(ab)Ȥ(41)(31)(31)45ꡤ
(451)/223(̤)
13ʶ 10:48:45 48669
algebra
60ab0a60b60
13ʶ 10:54:39 48670
Mr.ǥ
ޥ͡
ޤƤǤȤޤ
ǯϷǾǤäƴĥäƤȻפޤΤǡꤤפޤ
®򴪰㤤ơ٤ƤλäǤˡ¿ƱǤ
13ʶ 19:55:54 48671
ˤ
ޤƤǤȤޤȤꤢprgǡ
Ķļˡ 13ʶ 20:20:47 48672

ޥ͡͡դΤĤӤ򿽤ޤ
ǯɤꤤޤ
ǯ׹ϤߤʤäƤޤɤ󤯤ߤĤƤȻפޤ

⡼ޥ󤵤ƱǤ
13ʶ 23:42:51 48673
???
VBSCRIPT
k=0
for n=61 to 10000
mm=int((60*n)/(n-60))
for m=mm to mm+1'ڤΤƤΤ
k=k-(1/60=1/m+1/n and m>=n)
next
next
msgbox k
14ڡ 9:39:51 48674
???
⹻Ǥβ
᣶(ܣ)ꡤ
(ݣ)(ݣ)ᣲ
ꡤݣݣݣ
(ݣݣ)()()()()()()()()()()()()()()()()()()()()()()()
Τ()ϣȤ롥
14ڡ 9:42:26 48675
A6
ʸˡפȤΤǥޥʥˤʤȤ߹碌ͤƤޤޤǯȯܤǤ餫Ƥޤޤ
Ȥǡؤʤ45ˤʤȻפΤǤäƤޤ͡
14ڡ 14:13:32 48676
SECOND
A6󡣤̤Ȼפޤ ϰϤˡĤޤĤϡּפʬǤ͡
14ڡ 23:42:07 48677
A6
SECOND󡢤꤬Ȥޤ
m-60(n-60)ξޥʥξϡ⤬-60λ m=n=0ˤʤäƤޤΤǡޥʥξϤ1̤(45-1)/2=22̤ˤʤޤ͡
;פʤȤͤƤޤޤǯ᡹餫ΤǡǯǯƹԤȻפޤ
15 8:48:54 48678
ޤ륱
ޤƤǤȤޤ
ᥤȤȡϣʾ塢ʲȤȤ2020ǯǽΥ饤ʡ
ruby -e 'p ((61..120).map{|a|60*a%(a-60)==0}).count(true)'
16ʷ 15:23:38 48679
ޤ륱
⤦äûǤޤ͡
ruby -e 'p ((61..120).map{|a|60*a%(a-60)}).count(0)'
16ʷ 15:29:45 48680
ޤ
ǯꤤ夲ޤm(_ _)m
ʻ⡢Ƥä꺣ƳȻפäƤޤ(^^;

ǯ᡹ȾüΩƤޤ
ǯǯꤦ褦ʡȤǤorz

#48680 ޤ륱󤵤
饤ʡؤǤ͡

somewhere in the world 19ڡ 2:25:54 48681
Ѥ
ޤƤǤȤޤ
ɣ£ӣɣߤǤȥۥۡ
18ʿ 10:27:35 48682
ޤ륱
#48681 Ѥޤ "()" ޤ͡
åĤƤ褯Ԥޤ륱Ǥ
18ʿ 10:34:23 48683
ϥ饮㡼ƥ
ؼԤαDz򸫤Ƥޤ

ʤޤǿؤʬ뤫̣ޤ

ϴǤɽMathematicaDz򤯤Ȥ¿ΤǤ
ŷͤϵդ˷׻򥤥᡼ˤƲ򤤤Ƥ褦Ǥ

αDzޤι٤ߤǻ֤;ä
ͤϸƲ

åɥϥƥ

ߥơ󥲡

Ƥ

ԡ 19ڡ 17:03:49 HomePage:湩ؤ˥48684
ϥ饮㡼ƥ
رDzΥ֡बΤ⤷ޤ󡡲ޤ

ؤ줿١ʤ줿:The Man Who Knew Infinityˤϡ 2015ǯ˥ꥹ졢2016ǯ˸줿DzǤޤޤ
ԡ 19ڡ 17:07:25 MAIL:tfuruya@aria.ocn.ne.jp HomePage:湩ؤ˥48685
ֿء׾ι
#48680ޤ륱󤵤˻ɷ㤵ơruby 򥤥󥹥ȡ뤷ޤ
#48667ˤǥץषƤߤޤ饤ˤǤޤǤʲ̤ꡢˤǤޤ
ruby -e "c=0;1.upto(60){ |i| 1.upto(60){|j| if 60%i==0 and 60%j==0 and i<=j and i.gcd(j)==1 then c=c+1 end}}; p c"
ʤˤ褤ˡϤʤǤ礦ʥ᥽åɤФ줷ΤǤ
115ʿ 16:55:21 48686