Ȥ
Basic

FOR n=1 TO 429
FOR a=1 TO 429
IF (n+1)*(a+a+n)/2=429 THEN LET s=s+1
NEXT a
NEXT n
PRINT s
END

f9ơ7()
˭ԡ 415ڡ 0:07:01 MAIL:fttnm528@ybb.ne.jp 50366
٥륯åĥ
Ĥͤ3ʡ143ˡ11ʡ39ˡ13ߡ33ˤ3̤ꡣ
2ʡ214.5ˡ6ߡ71.5ˡ22ʡ19.5ˡ26ʡ16.5ˤ4̤ꡣ
4̤ˤʤޤ
415ڡ 0:11:55 50367
٥륯åĥ
ְ㤨7̤ˤʤޤ
415ڡ 0:12:09 50368
Ȥ
Basic
ɤ7̤꤫Ƥߤޤ!!

FOR n=1 TO 429
FOR a=1 TO 429
IF (n+1)*(a+a+n)/2=429 THEN PRINT a;"";a+n;"ޤ"
NEXT a
NEXT n
END

f9

214 215 ޤ
142 144 ޤ
69 74 ޤ
34 44 ޤ
27 39 ޤ
9 30 ޤ
4 29 ޤ
˭ԡ 415ڡ 0:13:30 MAIL:fttnm528@ybb.ne.jp 50369
٥륯åĥ
˥ߥȯǽζǤ
415ڡ 0:24:11 50370
ǯ
429=1*3*11*13
3,11,13
ʿѤϢ³¤٤
3339143Ǥ뤬θĿ¤٤ʤ
1*2ġ3*2ġ11*2ġ13*2
1,3,11,13ĤʿѤˡ4١ơ2Ĥʬ
ʬǽ
415ڡ 0:33:27 50371
鯤ο
4293*11*13ʤΤǡ
ϡ1,3,11,13,33,39,143,729

Ϣ³Ĥξ硢οϡ429ˤʤ롣
429ǡο濴˺ˡ(429/x-1)/2ĤļϰϤ¤٤Τϡ
x=33,39,143λ

Ϣ³Ĥξ硢Σ¤ϡ429ˤʤ롣
429ǡ(x-1)/2(x+1)/22濴˺ˡ(429/x)-1ĤļϰϤ¤٤Τϡ
x=33,39,143,429λ

ä7̤
//
415ڡ 0:43:48 50372
鯤ο
¤ϡ
ּn2İʾϢ³¤ɽˡϡ1ʳδθĿפΤǡΤäƤС
4293*11*13顢2^3-1=7̤ȽֻǤ褦Ǥ

ͥϡλ

ΤäƤС
2İʾϢ³¤ɽʤ10ܤ˾ϡפ򤱤롣



415ڡ 1:11:11 50373

ťͤޤ
¤ֿʿѤ
¤־Ͽοʳڤ
¤־ϿΣĤοʿѡʡη
ᣳ**ʤΤǣ¤ֿθĿˤǹͤ
ĤϣΣ̤
ĤϡʡȤʤΤϡ/ηˤʤʤΤǵդˡˣܤȣΣ̤
415ڡ 2:07:05 50374

nʲդοͤͤˤʤϲߤȤ礦ɤä⤷ʤǤ
äȴñޤ
415ڡ 2:39:31 50375
ֿء׾ι
3,11,13Ȥ狼ޤ
415ڡ 3:42:14 50376
ˤ⡼ʡء˥Υ
439ǰʬ򤷤3*11*13

1)ĤϢ³
ο3,11,13Ĥȡ439
ΤϢ³κ㤬ޥʥˤʤʤΤ
143ʣġˡ3911ġˡ3313ġˤΣ

2)ĤϢ³
ĿʿѤ֡.5פˤʤΤ
214.5ʣġˡ71.5ʣġˡ19.511ġˡ16.526ġˤΣ
Ŀθϡ439סߣ

ף
̸޻ԡ 415ڡ 4:27:43 50377
(Keigei)
С429 δθĿǡ
ϡ¤ɽȤ˿θĿǤ
㤨С11ͤȡ4291139 顢
39濴Ȥ 11Ĥ¤ɽ졢
Ūˤ 3954434 34 44 ¤ˤʤޤ
ޤ33ͤȡ4293313 顢
13濴Ȥ 33Ĥ¤ɽ졢
Ūˤ 1316293 3 29 ¤ˤʤꡢ
3 3 ơ4 29 ¤ˤʤޤ
42931113 δθĿϣǤ
֣İʾפξ狼飱ĤξϽΤǣ̤Ǥ
415ڡ 5:12:15 50378
ˤ
nmޤǤ¤ɽ4292ȶѤɽ1858
7̤Ǥ
Ķļˡ 415ڡ 7:27:44 HomePage:ޤޤ50379
ɥȥ
#50373
áʤǤ?
ͤ858Τ30̤ΤΤȹͤ7̤ȽФޤ
415ڡ 7:38:55 50380

Ϣ³ɤ¤-329¤Ȥޤޤ㤤ޤ󤫡
415ڡ 10:10:40 50381
dyslexia

NϢ³Ĥμʬ򤹤ˡ
NδθĿΤäƤаȯǤǤޤ͡
415ڡ 10:15:48 50382
~
Ϣ³¤ʬ򤹤 20ǯʾ Ȥ
äήԤޤ
߻ҤΥȤǤ夲ƤƲޤ
ƱȤ񤳤ȤϻפޤݽΤǤޤ
ФȤäǤ͡
εΤۤȤꡡ 415ڡ 10:44:58 50386

Ϣ³ɤ¤-329¤Ȥޤޤ㤤ޤ󤫡
415ڡ 11:26:27 50387
???
vbscript
kotae="":k=0
for n=2 to 429
s=0:nn=n
while s<429
s=s+nn
if nn>n and s=429 then
k=k+1:kotae=kotae&k&":"&n&"~"&nn&chr(13)
elseif s<429 then
nn=nn+1
end if
wend
next
msgbox kotae
415ڡ 12:34:19 50389
ޥ
#50387

Ŧ̤ǤʡֻפʤΤǡ̤οϹͤʤ...ΤȤäƤޤʸ˽񤯤٤Ǥ˽ޤ
Mac 415ڡ 12:49:11 HomePage:50390
ߤ
Ϣ³¤ɽ֤Ǥ͡

Ĥξϡο߸Ŀᣴ
Ĥξϡ֡ס߸Ŀᣴ
ȤȤˤʤ롣
ξϡΣ¤ϡס#50372ˤ
ͤɤä⡣
415ڡ 13:56:51 50391
ߤ
#50363¢#50359
䤬򤤤Ȥ#50110ˤϡǣɡɣϡᣲθ
ǤɤãϤ˿­ˣˡ̤֤Ƥޤ
ʹߤβˡñ˽񤯤ȡ
ѷãˡˣ̡̣ϡᣱ£ǡǣáᣲ
ѷ£ǣɡỰѷ£ãϡߡʣˡߡʣˡᣴ

ʣˤϻͳѷ£ģƤѤΤĤޤʤʤΤˡ
ʣˤλѷ£ǣɤѤˤ
֣£ǡţȡפξꡢǤȣȤϻѷ濴ФоΡʣǡϡȤϰľ
£ĤФƣáϤоΡɣáɣϤǤꡢǣɡɣϡᣲ
Σ˵Ťɬפ뤿ᡢʤʤ񤷤

ʤߤˡʣˤϡǣȤȣģƤθʤȤơѷɣģʤѤФꡣ
ʣˤ򤱤񤷤Ϥʤɡ󤻤ʣˤ񤷤
ϡϣĤǻѷʬ䢪줾ѤФƤסȤƲ򤭤ޤ

Τߤʬ館#50364
¢ϲˡ񤫤륿פʤΤǡ¿βϴԤǤ
̵ʤˤ¿ʤ顢ʤˡʬäƤƤɾƤۤǤ͡
415ڡ 18:57:04 50392
Ф
οᡢnĤ¤ɽȤȤ¤
1/2{aa(n-1)1}n1/2n(n+2a-1)429

n(n2a-1)=858231311
äƥŪ
n+2a-1 858 429 286 143 78 66 39 33
n1 2 3 6 11 13 22 26
Ȥʤän+2a-1n
(n,n+2a-1)(2,429),(3,286),(6,143),(11,78),(13,66),(22,39),(26,33)
7̤ˤʤޤ
417ڡ 19:21:51 50393
Ф
#50392ߤ󤵤󡣤Ĥ⤪ꤤ꤬Ȥޤ
ΥץäݤȤǤ͡ڤʡδ餬褦
꤬ޤ鶵Ƥ
417ڡ 19:52:28 50394
ʻ˥󥸡
Ϣ³2İʾɽˡϡοǣʳδοǤ͡
418 9:57:09 50395
ʻ˥󥸡
֥URLǤ轵룸˻򥢥åפޤ
https://nannkainasannsuunityarennzi.hatenablog.com/
418 10:00:12 50396
syokyuhsya
ѥץDz򤤤Ƥߤޤץϡ
m=0
s=0
added=[]
for i in range(2,27):
if (429-(i-1)*i/2)%i==0:
m=m+1
s=(429-(i-1)*i/2)/i
added.append(s)
print(added)
print('m=',m)
ǡΥץ¹Ԥȡm=7Ȥʤޤ
418 18:31:14 MAIL:syokyuhsya@gmail.com 50397
ϥ饮㡼ƥ
ץǤ

ڤ򤱤ޤ
418 18:40:08 50398
ϥ饮㡼ƥ
OCTAVEΥץǤ
Qɽ7ĤγФޤ

Q=[];
for ii=3:300;
for jj=1:200;
s=sum(ii:ii+jj);
if s==429,Q=[Q;ii];endif
endfor
endfor
418 18:52:33 50399
ե
ᤤ󡢤ߤ󤵤Ʊ
Ϣ³뼰ĤȶĤξʬ
n+(n+1)+(n+2)+ġĤɽư̼ФƤߤ
2k-1Ϣ³(2k-1)(n+k-1)
2kϢ³ k(2n+2k-1)
줾ʬ2k-1פȡkפڤߤΤ
4293*11*13
줾1,3,11,13nˤʤ뤫Ƚꤷ
7̤Ȥʤޤ
ǽ顢1ˤʤ˺
ץ˲򤫤Ȱ㤦ΤǡФ餯???פȤʤäƤޤ
420ʲС 18:53:40 50400
ߤ
äѤ򤤤Ƥꡣ򤱤ɬפϤʤɡ˥ϡɤ
Ǥ򤱤ʤäΤ⤢ޤΤ鳫ϻ
Ǥ͡䤬ʸϤʤΤФơعΤϤοʹ֤ʤʤʶСˡ

ȤꤢϤ顣
֣ʬΣ򾮿ɽ裴̡̡̤οϤ줾첿

۴ľ꤫Ȼפ䡢ˤ餺ΥǥϿؤäݤɡġ
420ʲС 22:44:03 50401
鯤ο
#50401
۴ľȻפäƷ׻Ϥȵ§˵ŤϷ夬դ뤳Ȥȷ׻ϤǤ͡

Τ٤ϡƿƤޤޤDzˤ褯ŻƤޤǤƬݻǤ˸¤꤬롣ޤȥХꥨ󤬤ʤΤǡƿƤޤޤǰŻ륷꡼ˤϡdzڤֳ³ڤʤʤä3ܤ1­äޤʤͤѤдǤǤƺǸ1ˤʤ(̤Ȧ)

421ʿ 3:18:49 50403
Ф
ߤ󤵤󡡡50402
ˤФФäȤäȾγǯǤ뤳ȤҥȤ
äƤ褦Ǥ졢ִ֤˵դΤ
⹻οǤ̵µϤι⹻Ф롣

1/9998=1/(10000-2)=(1/10000)1/(1-(2/10000)
=(1/10000)(1+2/10000+(2/10000)^2+(2/10000)^3+(2/10000)^4+(2/10000)^5+(2/10000)^6+

Ȥ櫓Ǽ¤Ϥ(Ϥ)äٶͤˤϤޤ򤯤ʤ
줬äֻϿؤФǤ뾯ʤ
⤦äȵ򤤤()פȤĤפޤ
421ʿ 22:10:38 50404