(Keigei)
1010101010101010101010101
1111111111111111111111111111
1111111111111100000000000111
1111111111111909090909091
1110ڡ 0:08:24 51966
鯤ο
1010101010101010101010101=53*79*859*265371653*1058313049
859*1058313049=909090909091
//
ǰʬ˿ȤǼ¹ԡ
1110ڡ 0:16:10 51967
ĤĤ
ƤƤޤäѥȥ뤵θҤǡǶסˤΥȤΤȤפФƬȤƻäƤޤ봶äΤǤͭ̾Ǥ礦Ȥ⡢˻褦ʤΤޤǤ礦
1110ڡ 0:20:21 51968
ĤĤ
ƤƤޤäѥȥ뤵θҤǡǶסˤΥȤΤȤפФƬȤƻäƤޤ봶äΤǤͭ̾Ǥ礦Ȥ⡢˻褦ʤΤޤǤ礦
1110ڡ 0:23:39 51969
(Keigei)
22795424992744311567361631010101010101010101010101
⤢ޤ
1110ڡ 0:26:58 51970
ڶ̳Ϣ
裱ʣˤΤޤޤǤ
1110ڡ 0:31:02 51971
̻
101010.....1 x 99110^26
101010.....1 x 9910^261(10^131)(10^131)
äơ101010.....1(10^131)(10^131)99
(10^131)9dzڤ顢
(10^131)11dzڤͽۤƼ¹Ԥ顢
礦12ˤʤä
1110ڡ 0:47:14 51972
٥륯åĥ
ܤ126¤ֿäơ111111111111110000000000001
100000000000019999999999990+11ʤΤ11dz909090909091Ǥ
1110ڡ 3:39:52 51973
٥륯åĥ
#51968
Ĵ٤Ƥߤ1126ƱǤ
1110ڡ 3:51:19 51974
Ѥڤ
Ϥ褦ޤ
1110ڡ 6:08:37 51975
̴
#51970
򸫤üβǸơ򤤴طʤȥ⤷ƤȤ
פФľ˻ޤ
(Keigei)̲ͤˤæ˹Ǥ
ٻΤ桡 1110ڡ 7:50:36 51976

1010101010101010101010101
= 1020304050607060504030201 - 10203040506050403020100
= 1010101010101^2 - 101010101010^2
= (1010101010101+101010101010) * (1010101010101-101010101010)
= 1111111111111 * 909090909091
1110ڡ 10:17:09 51977
kazsyun
227954249927³Ƥޤ褦䤯̲򤬤뤳Ȥ
Ťޤ
1110ڡ 11:15:03 51978
̿
Ϳ줿ϡ¤ɽޤS13=(100^26-1)/(100-1)μʬ򤷤S13=(10^13-1)(10^13+1)/9*11ȤʤꡢѤɽӤޤS13=1111111111111*909090909091Ȥʤޤ
1110ڡ 15:09:59 51979
٥륯åĥ
׻ǤǰʬϸŪǤϤʤΤǡ11ܤƶ夫ľȾʬȲȾʬƱä10ġ01ȤѤ뤯餤פĤʤΤǤ¾˲ˡΤǤ礦
1110ڡ 16:36:00 51980
ֿء׾ι
9090909090911111111111111
2279542499274431156736163褦Ǥ͡

ңץ󤷤Ƥߤޤ
require 'prime'
a=1010101010101010101010101
p a.prime_division.map{|x,y|(0..y).map{|i|x**i}}.inject(:product).map{|z|z.flatten.inject(:*)}.sort.to_a
1110ڡ 16:42:11 51981
Ȥ
Ƕϵ٤ߤʤ轵ꤵƤߤǤ͡
ǶդĴȤ
¾Ȥ꤬轵ˤī®ǤѤä
轵Ƥޤ!!
¾Ȥ6ѤMaximaɤ

for a:15 thru 16 do
for b:17 thru 18 do (if part(divisors(1010101010101010101010101),a)*part(divisors(1010101010101010101010101),b)=1010101010101010101010101 then print(part(divisors(1010101010101010101010101),a),part(divisors(1010101010101010101010101),b)));

enter
227954249927 4431156736163
909090909091 1111111111111

1010101010101010101010101(100^25-1)/99ˤ
ץबưʤäꤷơΤ1,2äǤޤ!!
˭ԡ 1110ڡ 21:30:45 MAIL:fttnm528@ybb.ne.jp 51982
Ȥ
#51982

Basic1ä⤫ʤɤ

print time$
for a=0 to 1
for b=0 to 1
for c=0 to 1
for d=0 to 1
for e=0 to 1
let x=53^a*79^b*859^c*265371653^d*1058313049^e
let y=53*79*859*265371653*1058313049/(53^a*79^b*859^c*265371653^d*1058313049^e)
IF (10^11<x AND x<10^12) OR (10^12<y AND y<10^13) THEN PRINT x;y
10 next e
next d
next c
next b
next a
PRINT TIME$
END

f9
22:59:33
909090909091 1111111111111
227954249927 4431156736163
22:59:33
˭ԡ 1110ڡ 23:00:14 MAIL:fttnm528@ybb.ne.jp 51983
Ȥ
#51983

>IF (10^11<x AND x<10^12) OR (10^12<y AND y<10^13) THEN PRINT x;y



IF (10^11<x AND x<10^12) and (10^12<y AND y<10^13) THEN PRINT x;y

̤ƱǤ
˭ԡ 1110ڡ 23:10:45 MAIL:fttnm528@ybb.ne.jp 51984
ֿء׾ι
󤬵줿顢 b Ȥơ
for i in 0..b.size/2-1;print b[i],"&#10060;",b[b.size-i-1],"\n"end
¹Ԥơ
1&#10060;1010101010101010101010101
53&#10060;19058509624547360396417
79&#10060;12786088735455824063419
859&#10060;1175903387777660187439
4187&#10060;241246957272751397423
45527&#10060;22186856373163399763
67861&#10060;14884853009843799841
3596633&#10060;280846283204599997
265371653&#10060;3806363636364017
1058313049&#10060;954444444444349
14064697609&#10060;71818181818189
20964360587&#10060;48181818181823
56090591597&#10060;18008385744233
83606730871&#10060;12081575246131
227954249927&#10060;4431156736163
909090909091&#10060;1111111111111

ʤΤǡ&#10060;25塢3&#10060;22塢4&#10060;21塢7&#10060;18塢9&#10060;16塢10&#10060;15
1̤ޤ褦Ǥ
1111ʶ 8:38:30 51985
ֿء׾ι
äѤʸޤ&#10060;ϡߤǤ
1111ʶ 8:39:39 51986
̴
51979
̿ͤ¡餷Ǥ͡
ؤʬפ礤Ǽפޤ
ٻΤ桡 1111ʶ 9:38:04 51987
kyorofumi
https://willguimont.github.io/math/2020/05/03/proof10101.html
1112ڡ 0:47:43 51988
ߤ
Ȥꤢᣱߣݣʣܣˡߡʣݣ
ޤǤϼϤǤɤ失ΤΡθˤĤʤ餺

#51977Dz⤵Ƥ̤ʤΤǡȯۼΤɤä˻ǰ
1112ڡ 13:32:50 51989
Ȥ
#51982
#51985

äƤߤޤMaxima 2ѿȥɤü٤Τ
1ѿľơ

for a:1 thru 32 do (if part(divisors(1010101010101010101010101),a)
<1010101010101010101010101/part(divisors(1010101010101010101010101),a)
then print(part(divisors(1010101010101010101010101),a),
1010101010101010101010101/part(divisors(1010101010101010101010101),a)));

ԥڤƥ󥿡з̤Ʊǡ
˭ԡ 1113 8:52:34 MAIL:fttnm528@ybb.ne.jp 51990
ϺĹ
4ֹͤޤäѤϤޤǤ٤ߤäդޤҤ᤭ȸΤϤǤ͡
1114ʷ 20:32:33 51991