月月的爱情故事
txt.txt
- 提示txt，把后缀改成txt，得到文本
- 看到加密文本，丢去解密得到如下
U2FsdGVkX1/bVF45zytlkeEhefAqkpHQdMqtULk2OibLq79NHJMm9rP3CtkKrE41
CaBJmMIVcUVSb3IzpHeuWw==
- 一眼看上去像Rabbit
1.特点：Rabbit加密开头部分通常为U2FsdGVkX1
（AES、DES、RC4、Rabbit、Triple DES、3DES 这些算法都可以引入密钥，密文特征与Base64类似，明显区别是秘文里+比较多，并且经常有/）
2.实例：
明文I Love You无密匙加密后密文为U2FsdGVkX1/ouFei55jKdzY1fWNS4jxHVNf/AfKWjnBrOGY=
明文I Love You 521无密匙加密后密文为U2FsdGVkX19DvuEo5PvBA8TuLrM2t+EZBvUkzlAa
明文I Love You 521密匙为666加密后密文为U2FsdGVkX18w6vxXxux/ivRVwo3xMzTxmUyk7cHz
- 提示摩斯密码，发现上面文章中只使用了。，！三钟符号，把这三种符号分别换成. - 和空格得到莫斯密码
t = '你知道吗。月月今天遇到了一个让他心动的女孩，她的名字叫做小雨，太幸运了。小雨是一个活泼可爱的女孩！她的笑容如同春天里的阳光。温暖了月月的心，月月第一次见到小雨是在图书馆里！事情是这样的。当时小雨正在专心致志地看书。阳光洒在她的脸上。让她看起来如同天使一般美丽！月月被小雨的美丽和才华所吸引。开始暗暗关注她。在接下来的日子里。月月开始尝试与小雨接触！和她聊天和学习。他们有着许多共同的兴趣爱好，一起度过了许多快乐的时光，渐渐地！月月发现自己对小雨产生了特殊的感情，他开始向小雨表达自己的心意，然而，小雨并没有立即接受月月的感情！她告诉月月。她曾经受过感情的伤害，需要时间来慢慢修复自己的心灵。月月尊重小雨的决定！他开始用更多的时间和精力来陪伴小雨，帮助她走出过去的阴影。在接下来的几个月里。月月和小雨的关系逐渐升温！他们一起参加了许多校园活动。一起探索了那个城市的角角落落。渐渐地！雨也开始对月月产生了感情。她发现自己越来越依赖他。越来越喜欢他。最终！小雨和月月走到了一起，他们的爱情故事成为了校园里的佳话。让同学们都羡慕不已，他们一起度过了青春岁月，一起经历了成长和进步的喜悦与挫折！他们的感情越来越深厚。也越来越稳定。在他们的恋爱过程中，月月和小雨也学会了如何相处和包容对方！他们互相理解互相支持。一起面对生活中的挑战和困难！他们的爱情让他们变得更加坚强和勇敢，也让他们感受到了生命中最美好的东西。月月相信他们能走得更远，更相信自己不会辜负小雨，当他们遭遇挫折和失败的时候！两人永远不会被打倒。这正是他们彼此爱的力量。在他们空闲的时候，月月经常带小雨出去逛街！晚上一起看电影。有一天！月月说将来他要给小雨一场最美的婚礼，小雨十分感动也十分期盼。就这样。这份约定成为了两人前进的动力。两人共同努力最终一起考上了同一所大学的研究生。两人非常开心彼此深情地看着对方似乎有说不完的情话！研究生三年他们互相帮助一起度过了人生最有意义的大学时光，毕业后两人也很轻松找到了自己心仪的企业。月月没有忘记当初的约定。是的。他要给小雨一场最美好的婚礼。终于！这一天到来了，小雨穿上月月为她定制的婚纱。他们手牵手走向了更美好的未来。场下。所有的嘉宾都为他们鼓掌和欢呼并祝福他们的爱情能够永恒长存。'
tmp = ''
for i in t:
if i=='。':
tmp+='.'
elif i=='，':
tmp+='-'
elif i=='！':
tmp+=' '
print(tmp
- 得到摩斯密码
.--. .- ... ... .-- --- .-. -.. .. ... -.-- ..- . -.-- ..- . -.... -.... -....
- 解密摩斯密码
- 使用AES解码，密码是YUEYUE666，得到flag
ctfshow{W0w_th3_st0ry_s0_w0nderfu1!}
麻辣兔头又一锅
- 打开是两串数字
126292,165298,124522,116716,23623,21538,72802,90966,193480,77695,98618,127096,15893,65821,58966,163254,179952,134870,45821,21712,68316,87720,156070,16323,86266,148522,93678,110618,110445,136381,92706,129732,22416,177638,110110,4324,180608,3820,67750,134150,23116,116772,50573,149156,5292
60144,146332,165671,109800,176885,65766,76908,147004,135068,182821,123107,77538,86482,88096,101725,16475,158935,123018,42322,144694,186769,176935,59296,134856,65813,131931,144283,95814,102191,185706,55744,67711,149076,108054,135112,100344,35434,121479,14506,145222,183989,17548,38904,27832,105943
- 考点是斐波那契数、异或
import gmpy2
with open('flag.txt','r') as f:
txt = f.readlines()
c = eval(f'[{txt[0]}],[{txt[1]}]')
for i in range(len(c[1])):
print(chr((gmpy2.fib(c[0][i])^gmpy2.fib(c[1][i]))&0xff),end='' )
- 得到flag
ctfshow{6d83b2f1-1241-4b25-9c1c-0a4c218f6c5f}
crypto2
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- 复制到浏览器控制台中运行得到flag
flag{3e858ccd79287cfe8509f15a71b4c45d}
crypto3
ﾟωﾟﾉ= /｀ｍ´）ﾉ ~┻━┻ //*´∇｀*/ ['_']; o=(ﾟｰﾟ) =_=3; c=(ﾟΘﾟ) =(ﾟｰﾟ)-(ﾟｰﾟ); (ﾟДﾟ) =(ﾟΘﾟ)= (o^_^o)/ (o^_^o);(ﾟДﾟ)={ﾟΘﾟ: '_' ,ﾟωﾟﾉ : ((ﾟωﾟﾉ==3) +'_') [ﾟΘﾟ] ,ﾟｰﾟﾉ :(ﾟωﾟﾉ+ '_')[o^_^o -(ﾟΘﾟ)] ,ﾟДﾟﾉ:((ﾟｰﾟ==3) +'_')[ﾟｰﾟ] }; (ﾟДﾟ) [ﾟΘﾟ] =((ﾟωﾟﾉ==3) +'_') [c^_^o];(ﾟДﾟ) ['c'] = ((ﾟДﾟ)+'_') [ (ﾟｰﾟ)+(ﾟｰﾟ)-(ﾟΘﾟ) ];(ﾟДﾟ) ['o'] = ((ﾟДﾟ)+'_') [ﾟΘﾟ];(ﾟoﾟ)=(ﾟДﾟ) ['c']+(ﾟДﾟ) ['o']+(ﾟωﾟﾉ +'_')[ﾟΘﾟ]+ ((ﾟωﾟﾉ==3) +'_') [ﾟｰﾟ] + ((ﾟДﾟ) +'_') [(ﾟｰﾟ)+(ﾟｰﾟ)]+ ((ﾟｰﾟ==3) +'_') [ﾟΘﾟ]+((ﾟｰﾟ==3) +'_') [(ﾟｰﾟ) - (ﾟΘﾟ)]+(ﾟДﾟ) ['c']+((ﾟДﾟ)+'_') [(ﾟｰﾟ)+(ﾟｰﾟ)]+ (ﾟДﾟ) ['o']+((ﾟｰﾟ==3) +'_') [ﾟΘﾟ];(ﾟДﾟ) ['_'] =(o^_^o) [ﾟoﾟ] [ﾟoﾟ];(ﾟεﾟ)=((ﾟｰﾟ==3) +'_') [ﾟΘﾟ]+ (ﾟДﾟ) .ﾟДﾟﾉ+((ﾟДﾟ)+'_') [(ﾟｰﾟ) + (ﾟｰﾟ)]+((ﾟｰﾟ==3) +'_') [o^_^o -ﾟΘﾟ]+((ﾟｰﾟ==3) +'_') [ﾟΘﾟ]+ (ﾟωﾟﾉ +'_') [ﾟΘﾟ]; (ﾟｰﾟ)+=(ﾟΘﾟ); (ﾟДﾟ)[ﾟεﾟ]='\\'; (ﾟДﾟ).ﾟΘﾟﾉ=(ﾟДﾟ+ ﾟｰﾟ)[o^_^o -(ﾟΘﾟ)];(oﾟｰﾟo)=(ﾟωﾟﾉ +'_')[c^_^o];(ﾟДﾟ) [ﾟoﾟ]='\"';(ﾟДﾟ) ['_'] ( (ﾟДﾟ) ['_'] (ﾟεﾟ+(ﾟДﾟ)[ﾟoﾟ]+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (o^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((o^_^o) +(o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((o^_^o) +(o^_^o))+ (o^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟｰﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟДﾟ)[ﾟεﾟ]+((ﾟｰﾟ) + (ﾟΘﾟ))+ ((o^_^o) +(o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟｰﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+((ﾟｰﾟ) + (ﾟΘﾟ))+ (c^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟｰﾟ)+ ((o^_^o) - (ﾟΘﾟ))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ ((o^_^o) +(o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟｰﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (ﾟΘﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (o^_^o))+ (o^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((o^_^o) - (ﾟΘﾟ))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((o^_^o) +(o^_^o))+ (o^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (o^_^o)+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (ﾟｰﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (ﾟΘﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (o^_^o)+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ ((o^_^o) +(o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (ﾟΘﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (o^_^o)+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (c^_^o)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ (ﾟｰﾟ)+ (ﾟΘﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ ((ﾟｰﾟ) + (o^_^o))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟΘﾟ)+ ((ﾟｰﾟ) + (o^_^o))+ ((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟДﾟ)[ﾟεﾟ]+(ﾟｰﾟ)+ ((o^_^o) - (ﾟΘﾟ))+ (ﾟДﾟ)[ﾟεﾟ]+((ﾟｰﾟ) + (ﾟΘﾟ))+ (ﾟΘﾟ)+ (ﾟДﾟ)[ﾟεﾟ]+((ﾟｰﾟ) + (o^_^o))+ (o^_^o)+ (ﾟДﾟ)[ﾟoﾟ]) (ﾟΘﾟ)) ('_');
- 复制到浏览器控制台中运行得到flag
flag{js_da_fa_hao}
crypto4
- 考察RSA解密，代码如下，得到flag
import gmpy2
import binascii
e = 17
p = 447685307
q = 2037
c = 69380371057914246192606760686152233225659503366319332065009
phi = (p-1)*(q-1)
d = gmpy2.invert(e,phi)
m = gmpy2.powmod(c,d,p*q)
#print(binascii.unhexlify(hex(m)[2:]))
#print(m)
print(d)
flag{53616899001}
crypto5
- 考察RSA解密，代码如下，得到flag
import gmpy2
import binascii
e = 17
p = 447685307
q = 2037
c = 704796792
phi = (p-1)*(q-1)
d = gmpy2.invert(e,phi)
m = gmpy2.powmod(c,d,p*q)
#print(binascii.unhexlify(hex(m)[2:]))
print(m)
# print(d)
flag{904332399012}
crypto6
密文：
U2FsdGVkX19mGsGlfI3nciNVpWZZRqZO2PYjJ1ZQuRqoiknyHSWeQv8ol0uRZP94
MqeD2xz+
密钥：
加密方式名称
- 一眼看上去像Rabbit，密钥为Rabbit，得到flag
- 在线解密地址：https://www.sojson.com/encrypt_rabbit.html
flag{a8db1d82db78ed452ba0882fb9554fc9}
crypto7
- 打开后都是Ook，是Ook加密
- 在线解密地址：https://www.splitbrain.org/services/ook，解密得到flag
flag{b615c4b79a1aede83b9ae67104ff4eb5}
crypto8
+++++ +++++ [->++ +++++ +++<] >++.+ +++++ .<+++ [->-- -<]>- -.+++ +++.<
++++[ ->+++ +<]>+ +++.< +++++ +++[- >---- ----< ]>--. .--.- -.-.- --.-.
+++++ +..-- -..<+ +++++ +[->+ +++++ +<]>+ +.<++ ++++[ ->--- ---<] >----
----- .---- -.<++ ++++[ ->+++ +++<] >++++ +++++ +++.< +++++ ++[-> -----
--<]> .++.- ----. <++++ +++[- >++++ +++<] >+++. --.<+ +++++ [->-- ----<
]>--- ----- ---.+ .<+++ +++[- >++++ ++<]> +++++ +++++ ++.<+ +++++ [->--
----< ]>--- ----- ---.- .++++ .<+++ +++[- >++++ ++<]> +++++ +++.< +++++
+[->- ----- <]>-- ----- ---.- ----- .++++ +++++ .---- ----. <++++ ++[->
+++++ +<]>+ +++++ +++++ +.<++ +++[- >++++ +<]>+ ++.<
- 打开后是Brainfuck编码，还是刚才那个在线解密网址：https://www.splitbrain.org/services/ook，得到flag
flag{99754106633f94d350db34d548d6091a}
crypto9
- 压缩包有密码，尝试爆破破解，得到密码4132
- 解压压缩包后，通过查询是serpent加密，在线解密网址：http://serpent.online-domain-tools.com/，得到flag
flag{c960a0f3bf871d7da2a8413ae78f7b5f}
crypto10
- 打开文本，quoted-printable编码，在线解密地址：http://www.hiencode.com/quoted.html
flag{用你那火热的嘴唇让我在午夜里无尽的销魂}
crypto11
密文：a8db1d82db78ed452ba0882fb9554fc
- md5值解密，在线解密地址：https://www.somd5.com/
flag{ctf}
crypto0
gmbh{ifmmp_dug}
- 移位密码，解密工具：CTF-Tools-v1.3.6.zip
flag{hello_ctf}
crypto12
uozt
- 埃特巴什码，解密工具如上
flag{Atbase_code_from_ctfshow}
ctypto13
- 解密代码如下
import base64
s=''
with open('base.txt', 'r', encoding='UTF-8') as f:
s=''.join(f.readlines()).encode('utf-8')
src=s
while True:
try:
src=s
s=base64.b16decode(s)
str(s,'utf-8')
continue
except:
pass
try:
src=s
s=base64.b32decode(s)
str(s,'utf-8')
continue
except:
pass
try:
src=s
s=base64.b64decode(s)
str(s,'utf-8')
continue
except:
pass
break
with open('flag1.txt','w', encoding='utf-8') as file:
file.write(str(src,'utf-8'))
print("Decryption complete!")
flag{b4Se_Fami1y_Is_FUn}
crypto14
题目00110011 00110011 00100000 00110100 00110101 00100000 00110101 00110000 00100000 00110010 01100110 00100000 00110011 00110011 00100000 00110101 00110110 00100000 00110100 01100101 00100000 00110100 00110110 00100000 00110100 00110110 00100000 00110110 01100100 00100000 00110100 01100101 00100000 00110100 00110101 00100000 00110100 00110001 00100000 00110110 01100101 00100000 00110110 01100011 00100000 00110100 00111000 00100000 00110100 00110100 00100000 00110011 00110101 00100000 00110110 00110100 00100000 00110100 00110011 00100000 00110100 01100100 00100000 00110110 01100100 00100000 00110101 00110110 00100000 00110100 00111000 00100000 00110100 00110100 00100000 00110011 00110101 00100000 00110110 00110001 00100000 00110110 00110100 00100000 00110011 00111001 00100000 00110111 00110101 00100000 00110100 00110111 00100000 00110000 01100001
- 把上面二进制转换成十六进制如下
3EP/3VNFFmNEAnlHD5dCMmVHD5ad9uG
- 我们知道flag base64编码后是ZmxhZw==
- 根据base64对照表可知，Z和3差30，m和E差30（m到/,/到E差30），那后面都是差30
#author 羽
s= '3EP/3VNFFmNEAnlHD5dCMmVHD5ad9uG'
t = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'
l=""
for i in s:
l += t[(t.index(i)-30)%64]
if len(l)%4!=0:
l=l+"="*(4-(len(l)%4))
print(l)
- 运行代码得到base64，解码base64得到flag
ZmxhZ3vnnIvmiJHplb/kuI3plb8/fQo=
- 解密得到flag
flag{看我长不长?}
萌新_密码5
由田中 由田井 羊夫 由田人 由中人 羊羊 由由王 由田中 由由大 由田工 由由由 由由羊 由中大
- 当铺密码，python代码如下
s ='田由中人工大王夫井羊'
code=input("请输入当铺密码：")
code = code.split(" ")
w = ''
for i in code:
k=""
for j in i:
k+=str(s.index(j))
w+=chr(int(k))
print(w)
- 得到flag
flag{ctfshow}
EZ_avbv(easy)
附件参考内部赛密码3
xor=177451812
add=8728348608nc 49.235.148.38 65522
- 不会
贝斯多少呢
8nCDq36gzGn8hf4M2HJUsn4aYcYRBSJwj4aE0hbgpzHb4aHcH1zzC9C3IL
- 提示：明文分段，然后没段base62，再拼起来。
- 那我们把上面的明文分段，发现当分到第11位时，出现flag{6a5字样
- 那我们继续按11个字符分段，得到flag
8nCDq36gzGn flag{6a5
8hf4M2HJUsn eb2_i5_u
4aYcYRBSJwj 5ua11y_u
4aE0hbgpzHb 5ed_f0r_
4aHcH1zzC9C 5h0rt_ur
3IL 1}
flag{6a5eb2_i5_u5ua11y_u5ed_f0r_5h0rt_ur1}
find the table
- 审查元素，发现有一串数字
9 57 64 8 39 8 92 3 19 99 102 74
- 发现是元素周期表的数字，拼接得到flag
flag{doyoulikesnow}
easyrsa2（e一样）
e = 65537
n = 23686563925537577753047229040754282953352221724154495390687358877775380147605152455537988563490716943872517593212858326146811511103311865753018329109314623702207073882884251372553225986112006827111351501044972239272200616871716325265416115038890805114829315111950319183189591283821793237999044427887934536835813526748759612963103377803089900662509399569819785571492828112437312659229879806168758843603248823629821851053775458651933952183988482163950039248487270453888288427540305542824179951734412044985364866532124803746008139763081886781361488304666575456680411806505094963425401175510416864929601220556158569443747
c = 1627484142237897613944607828268981193911417408064824540711945192035649088104133038147400224070588410335190662682231189997580084680424209495303078061205122848904648319219646588720994019249279863462981015329483724747823991513714172478886306703290044871781158393304147301058706003793357846922086994952763485999282741595204008663847963539422096343391464527068599046946279309037212859931303335507455146001390326550668531665493245293839009832468668390820282664984066399051403227990068032226382222173478078505888238749583237980643698405005689247922901342204142833875409505180847943212126302482358445768662608278731750064815e = 65537
n = 22257605320525584078180889073523223973924192984353847137164605186956629675938929585386392327672065524338176402496414014083816446508860530887742583338880317478862512306633061601510404960095143941320847160562050524072860211772522478494742213643890027443992183362678970426046765630946644339093149139143388752794932806956589884503569175226850419271095336798456238899009883100793515744579945854481430194879360765346236418019384644095257242811629393164402498261066077339304875212250897918420427814000142751282805980632089867108525335488018940091698609890995252413007073725850396076272027183422297684667565712022199054289711
c = 2742600695441836559469553702831098375948641915409106976157840377978123912007398753623461112659796209918866985480471911393362797753624479537646802510420415039461832118018849030580675249817576926858363541683135777239322002741820145944286109172066259843766755795255913189902403644721138554935991439893850589677849639263080528599197595705927535430942463184891689410078059090474682694886420022230657661157993875931600932763824618773420077273617106297660195179922018875399174346863404710420166497017196424586116535915712965147141775026549870636328195690774259990189286665844641289108474834973710730426105047318959307995062
- e相同，n，c不同，求出n1与n2的最大公因数即为p，之后就可以得到q和d，从而求解m
import gmpy2
import binascii
e = 65537
n1 = 23686563925537577753047229040754282953352221724154495390687358877775380147605152455537988563490716943872517593212858326146811511103311865753018329109314623702207073882884251372553225986112006827111351501044972239272200616871716325265416115038890805114829315111950319183189591283821793237999044427887934536835813526748759612963103377803089900662509399569819785571492828112437312659229879806168758843603248823629821851053775458651933952183988482163950039248487270453888288427540305542824179951734412044985364866532124803746008139763081886781361488304666575456680411806505094963425401175510416864929601220556158569443747
c1 = 1627484142237897613944607828268981193911417408064824540711945192035649088104133038147400224070588410335190662682231189997580084680424209495303078061205122848904648319219646588720994019249279863462981015329483724747823991513714172478886306703290044871781158393304147301058706003793357846922086994952763485999282741595204008663847963539422096343391464527068599046946279309037212859931303335507455146001390326550668531665493245293839009832468668390820282664984066399051403227990068032226382222173478078505888238749583237980643698405005689247922901342204142833875409505180847943212126302482358445768662608278731750064815
n2 = 22257605320525584078180889073523223973924192984353847137164605186956629675938929585386392327672065524338176402496414014083816446508860530887742583338880317478862512306633061601510404960095143941320847160562050524072860211772522478494742213643890027443992183362678970426046765630946644339093149139143388752794932806956589884503569175226850419271095336798456238899009883100793515744579945854481430194879360765346236418019384644095257242811629393164402498261066077339304875212250897918420427814000142751282805980632089867108525335488018940091698609890995252413007073725850396076272027183422297684667565712022199054289711
c2 = 2742600695441836559469553702831098375948641915409106976157840377978123912007398753623461112659796209918866985480471911393362797753624479537646802510420415039461832118018849030580675249817576926858363541683135777239322002741820145944286109172066259843766755795255913189902403644721138554935991439893850589677849639263080528599197595705927535430942463184891689410078059090474682694886420022230657661157993875931600932763824618773420077273617106297660195179922018875399174346863404710420166497017196424586116535915712965147141775026549870636328195690774259990189286665844641289108474834973710730426105047318959307995062
p = gmpy2.gcd(n1,n2) # 欧几里得算法
q = n1 // p
phi = (p-1)*(q-1)
d = gmpy2.invert(e,phi)
m = gmpy2.powmod(c1,d,n1)
print(binascii.unhexlify(hex(m)[2:]))
- 运行得到flag
flag{m0_bv_hv_sv}
easyrsa3（n一样）
e = 797
n = 15944475431088053285580229796309956066521520107276817969079550919586650535459242543036143360865780730044733026945488511390818947440767542658956272380389388112372084760689777141392370253850735307578445988289714647332867935525010482197724228457592150184979819463711753058569520651205113690397003146105972408452854948512223702957303406577348717348753106868356995616116867724764276234391678899662774272419841876652126127684683752880568407605083606688884120054963974930757275913447908185712204577194274834368323239143008887554264746068337709465319106886618643849961551092377843184067217615903229068010117272834602469293571
c = 11157593264920825445770016357141996124368529899750745256684450189070288181107423044846165593218013465053839661401595417236657920874113839974471883493099846397002721270590059414981101686668721548330630468951353910564696445509556956955232059386625725883038103399028010566732074011325543650672982884236951904410141077728929261477083689095161596979213961494716637502980358298944316636829309169794324394742285175377601826473276006795072518510850734941703194417926566446980262512429590253643561098275852970461913026108090608491507300365391639081555316166526932233787566053827355349022396563769697278239577184503627244170930
e = 521
n = 15944475431088053285580229796309956066521520107276817969079550919586650535459242543036143360865780730044733026945488511390818947440767542658956272380389388112372084760689777141392370253850735307578445988289714647332867935525010482197724228457592150184979819463711753058569520651205113690397003146105972408452854948512223702957303406577348717348753106868356995616116867724764276234391678899662774272419841876652126127684683752880568407605083606688884120054963974930757275913447908185712204577194274834368323239143008887554264746068337709465319106886618643849961551092377843184067217615903229068010117272834602469293571
c = 6699274351853330023117840396450375948797682409595670560999898826038378040157859939888021861338431350172193961054314487476965030228381372659733197551597730394275360811462401853988404006922710039053586471244376282019487691307865741621991977539073601368892834227191286663809236586729196876277005838495318639365575638989137572792843310915220039476722684554553337116930323671829220528562573169295901496437858327730504992799753724465760161805820723578087668737581704682158991028502143744445435775458296907671407184921683317371216729214056381292474141668027801600327187443375858394577015394108813273774641427184411887546849
- n相同，e,c不同，共模攻击
共模攻击：
使用了相同的模数n，用不同的秘钥e加密同一信息
mc1 = m^e1 % n
c2 = m^e2 % n
- 使用python脚本，得到flag
import gmpy2
import binascii
e1 = 797
n = 15944475431088053285580229796309956066521520107276817969079550919586650535459242543036143360865780730044733026945488511390818947440767542658956272380389388112372084760689777141392370253850735307578445988289714647332867935525010482197724228457592150184979819463711753058569520651205113690397003146105972408452854948512223702957303406577348717348753106868356995616116867724764276234391678899662774272419841876652126127684683752880568407605083606688884120054963974930757275913447908185712204577194274834368323239143008887554264746068337709465319106886618643849961551092377843184067217615903229068010117272834602469293571
c1 = 11157593264920825445770016357141996124368529899750745256684450189070288181107423044846165593218013465053839661401595417236657920874113839974471883493099846397002721270590059414981101686668721548330630468951353910564696445509556956955232059386625725883038103399028010566732074011325543650672982884236951904410141077728929261477083689095161596979213961494716637502980358298944316636829309169794324394742285175377601826473276006795072518510850734941703194417926566446980262512429590253643561098275852970461913026108090608491507300365391639081555316166526932233787566053827355349022396563769697278239577184503627244170930
e2 = 521
c2 = 6699274351853330023117840396450375948797682409595670560999898826038378040157859939888021861338431350172193961054314487476965030228381372659733197551597730394275360811462401853988404006922710039053586471244376282019487691307865741621991977539073601368892834227191286663809236586729196876277005838495318639365575638989137572792843310915220039476722684554553337116930323671829220528562573169295901496437858327730504992799753724465760161805820723578087668737581704682158991028502143744445435775458296907671407184921683317371216729214056381292474141668027801600327187443375858394577015394108813273774641427184411887546849
s = gmpy2.gcdext(e1,e2)# 扩展欧几里得算法
m1 = gmpy2.powmod(c1,s[1],n)
m2 = gmpy2.powmod(c2,s[2],n)
m = (m1*m2)%n
print(binascii.unhexlify(hex(m)[2:]))
flag{sh4r3_N}
easyrsa4（e很小，为低加密指数攻击）
e = 3
n = 18970053728616609366458286067731288749022264959158403758357985915393383117963693827568809925770679353765624810804904382278845526498981422346319417938434861558291366738542079165169736232558687821709937346503480756281489775859439254614472425017554051177725143068122185961552670646275229009531528678548251873421076691650827507829859299300272683223959267661288601619845954466365134077547699819734465321345758416957265682175864227273506250707311775797983409090702086309946790711995796789417222274776215167450093735639202974148778183667502150202265175471213833685988445568819612085268917780718945472573765365588163945754761
c = 150409620528139732054476072280993764527079006992643377862720337847060335153837950368208902491767027770946661
- e很小，为低加密指数攻击
①m3<n,也就是说m3=c。
②m3>n，即(m3+i·n)mod n=c（爆破i）
- 使用python脚本
import gmpy2
import binascii
e = 3
n = 18970053728616609366458286067731288749022264959158403758357985915393383117963693827568809925770679353765624810804904382278845526498981422346319417938434861558291366738542079165169736232558687821709937346503480756281489775859439254614472425017554051177725143068122185961552670646275229009531528678548251873421076691650827507829859299300272683223959267661288601619845954466365134077547699819734465321345758416957265682175864227273506250707311775797983409090702086309946790711995796789417222274776215167450093735639202974148778183667502150202265175471213833685988445568819612085268917780718945472573765365588163945754761
c = 150409620528139732054476072280993764527079006992643377862720337847060335153837950368208902491767027770946661
i = 0
while True:
if gmpy2.iroot((c+i*n),3)[1] == True:#gmpy2.iroot(x,n) x开n次根
m = gmpy2.iroot((c+i*n),3)[0]
break
i += 1
print(binascii.unhexlify(hex(m)[2:]))
flag{Sm4ll_eee}
easyrsa5（e和n都很大）
e = 284100478693161642327695712452505468891794410301906465434604643365855064101922252698327584524956955373553355814138784402605517536436009073372339264422522610010012877243630454889127160056358637599704871937659443985644871453345576728414422489075791739731547285138648307770775155312545928721094602949588237119345
n = 468459887279781789188886188573017406548524570309663876064881031936564733341508945283407498306248145591559137207097347130203582813352382018491852922849186827279111555223982032271701972642438224730082216672110316142528108239708171781850491578433309964093293907697072741538649347894863899103340030347858867705231
c = 350429162418561525458539070186062788413426454598897326594935655762503536409897624028778814302849485850451243934994919418665502401195173255808119461832488053305530748068788500746791135053620550583421369214031040191188956888321397450005528879987036183922578645840167009612661903399312419253694928377398939392827
- e和n都很大，根据加密的过程，可以很容易爆破出d，为低解密指数攻击
爆破d脚本https://github.com/pablocelayes/rsa-wiener-attack
注意要将破解脚本和rsa-wiener-attack的py文件放在同一目录下
import gmpy2
import binascii
import RSAwienerHacker
e = 284100478693161642327695712452505468891794410301906465434604643365855064101922252698327584524956955373553355814138784402605517536436009073372339264422522610010012877243630454889127160056358637599704871937659443985644871453345576728414422489075791739731547285138648307770775155312545928721094602949588237119345
n = 468459887279781789188886188573017406548524570309663876064881031936564733341508945283407498306248145591559137207097347130203582813352382018491852922849186827279111555223982032271701972642438224730082216672110316142528108239708171781850491578433309964093293907697072741538649347894863899103340030347858867705231
c = 350429162418561525458539070186062788413426454598897326594935655762503536409897624028778814302849485850451243934994919418665502401195173255808119461832488053305530748068788500746791135053620550583421369214031040191188956888321397450005528879987036183922578645840167009612661903399312419253694928377398939392827
d = RSAwienerHacker.hack_RSA(e,n)
m = gmpy2.powmod(c,d,n)
print(d)
print(binascii.unhexlify(hex(m)[2:]))
- 使用python脚本解密flag
flag{very_biiiiig_e}
easyrsa6（p和q很接近）
import gmpy2,libnum
from Crypto.Util.number import getPrime
from secret import flag
e = 0x10001
p = getPrime(1024)
q = gmpy2.next_prime(p)
n = p * q
print("n =",n)
m = libnum.s2n(flag)
c = pow(m,e,n)
print("c =", c)
# n = 26737417831000820542131903300607349805884383394154602685589253691058592906354935906805134188533804962897170211026684453428204518730064406526279112572388086653330354347467824800159214965211971007509161988095657918569122896402683130342348264873834798355125176339737540844380018932257326719850776549178097196650971801959829891897782953799819540258181186971887122329746532348310216818846497644520553218363336194855498009339838369114649453618101321999347367800581959933596734457081762378746706371599215668686459906553007018812297658015353803626409606707460210905216362646940355737679889912399014237502529373804288304270563
# c = 18343406988553647441155363755415469675162952205929092244387144604220598930987120971635625205531679665588524624774972379282080365368504475385813836796957675346369136362299791881988434459126442243685599469468046961707420163849755187402196540739689823324440860766040276525600017446640429559755587590377841083082073283783044180553080312093936655426279610008234238497453986740658015049273023492032325305925499263982266317509342604959809805578180715819784421086649380350482836529047761222588878122181300629226379468397199620669975860711741390226214613560571952382040172091951384219283820044879575505273602318856695503917257
- 使用yafu分解n，得到p，q
p = 163515803000813412334620775647541652549604895368507102613553057136855632963322853570924931001138446030409251690646645635800254129997200577719209532684847732809399187385176309169421205833279943214621695444496660249881675974141488357432373412184140130503562295159152949524373214358417567189638680209172147385801
q = 163515803000813412334620775647541652549604895368507102613553057136855632963322853570924931001138446030409251690646645635800254129997200577719209532684847732809399187385176309169421205833279943214621695444496660249881675974141488357432373412184140130503562295159152949524373214358417567189638680209172147385163
- 使用python代码解密，已知e=0x10001，p，q，c已知，查看源代码可知，打印m可得flag
flag{p&q_4re_t00_c1o5ed}
easyrsa7（p损失掉了低位数据）
e = 0x10001
p>>128<<128 = 0xd1c520d9798f811e87f4ff406941958bab8fc24b19a32c3ad89b0b73258ed3541e9ca696fd98ce15255264c39ae8c6e8db5ee89993fa44459410d30a0a8af700ae3aee8a9a1d6094f8c757d3b79a8d1147e85be34fb260a970a52826c0a92b46cefb5dfaf2b5a31edf867f8d34d2222900000000000000000000000000000000
n = 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
c = 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
- p损失掉了低位数据，用sagemath恢复p
- 得到p
p = 147305526294483975294006704928271118039370615054437206404408410848858740256154476278591035455064149531353089038270283281541411458250950936656537283482331598521457077465891874559349872035197398406708610440618635013091489698011474611145014167945729411970665381793142591665313979405475889978830728651549052207969
- 用python解密
import gmpy2
import binascii
p = 147305526294483975294006704928271118039370615054437206404408410848858740256154476278591035455064149531353089038270283281541411458250950936656537283482331598521457077465891874559349872035197398406708610440618635013091489698011474611145014167945729411970665381793142591665313979405475889978830728651549052207969
n = 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
c = 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
e = 0x10001
q = n//p
phi = (q-1)*(p-1)
d = gmpy2.invert(e,phi)
m = gmpy2.powmod(c,d,n)
print(binascii.unhexlify(hex(m)[2:]))
flag{Kn0wn_Hi9h_Bit5}
easyrsa8（公私钥解密）
- 解压后两个文件
- 用python代码分解n，e
from Crypto.PublicKey import RSA
from Crypto.Cipher import PKCS1_OAEP
import gmpy2
import binascii
from numpy import long
public = RSA.importKey(open('public.key').read())
n = long(public.n)
e = long(public.e)
print(n)
print(e)
n = 10306247299477991196335954707897189353577589618180446614762218980226685668311143526740800444344046158260556585833057716406703213966249956775927205061731821632025483608182881492214855240841820024816859031176291364212054293818204399157346955465232586109199762630150640804366966946066155685218609638749171632685073
e = 65537
- 用yafu分解n，得到p，q
p = 97
q = 106249972159566919549855203174197828387397831115262336234662051342543151219702510584956705611794290291345944183845955839244363030579896461607496959399297130227066841321473005074379950936513608503266587950271044991876848389878395867601515004796212227929894460104645781488319246866661398816686697306692491058609
- 知道p，q，e后利用python得到flag
from Crypto.PublicKey import RSA
from Crypto.Cipher import PKCS1_OAEP
import libnum
# 从文件中读取公钥参数(e,n)
publicKey = RSA.importKey(open('public.key').read())
e = publicKey.e
n = publicKey.n
p = 97
q = 106249972159566919549855203174197828387397831115262336234662051342543151219702510584956705611794290291345944183845955839244363030579896461607496959399297130227066841321473005074379950936513608503266587950271044991876848389878395867601515004796212227929894460104645781488319246866661398816686697306692491058609
assert p*q==n
phi_n = (p-1)*(q-1)
d = libnum.invmod(e, phi_n)
# 解密加密文件
privatekey = RSA.construct((n,e,d,p,q))
rsa = PKCS1_OAEP.new(privatekey)
plain_text = rsa.decrypt(open('flag.enc','rb').read())
print(plain_text)
flag{p_1s_5mall_num6er}
funnyrsa1（看不懂）
e1 = 14606334023791426
p1 = 121009772735460235364940622989433807619211926015494087453674747614331295040063679722422298286549493698150690694965106103822315378461970129912436074962111424616439032849788953648286506433464358834178903821069564798378666159882090757625817745990230736982709059859613843100974349380542982235135982530318438330859
q1 = 130968576816900149996914427770826228884925960001279609559095138835900329492765336419489982304805369724685145941218640504262821549441728192761733409684831633194346504685627189375724517070780334885673563409259345291959439026700006694655545512308390416859315892447092639503318475587220630455745460309886030186593
c1 = 11402389955595766056824801105373550411371729054679429421548608725777586555536302409478824585455648944737304660137306241012321255955693234304201530700362069004620531537922710568821152217381257446478619320278993539785699090234418603086426252498046106436360959622415398647198014716351359752734123844386459925553497427680448633869522591650121047156082228109421246662020164222925272078687550896012363926358633323439494967417041681357707006545728719651494384317497942177993032739778398001952201667284323691607312819796036779374423837576479275454953999865750584684592993292347483309178232523897058253412878901324740104919248
e2 = 13813369129257838
p2 = 121009772735460235364940622989433807619211926015494087453674747614331295040063679722422298286549493698150690694965106103822315378461970129912436074962111424616439032849788953648286506433464358834178903821069564798378666159882090757625817745990230736982709059859613843100974349380542982235135982530318438330859
q2 = 94582257784130735233174402362819395926641026753071039760251190444144495369829487705195913337502962816079184062352678128843179586054535283861793827497892600954650126991213176547276006780610945133603745974181504975165082485845571788686928859549252522952174376071500707863379238688200493621993937563296490615649
c2 = 7984888899827615209197324489527982755561403577403539988687419233579203660429542197972867526015619223510964699107198708420785278262082902359114040327940253582108364104049849773108799812000586446829979564395322118616382603675257162995702363051699403525169767736410365076696890117813211614468971386159587698853722658492385717150691206731593509168262529568464496911821756352254486299361607604338523750318977620039669792468240086472218586697386948479265417452517073901655900118259488507311321060895347770921790483894095085039802955700146474474606794444308825840221205073230671387989412399673375520605000270180367035526919
funnyrsa2
from Crypto.Util.number import getPrime
import libnum
from secret import flag
e = 0x10001
p = getPrime(80)
q = getPrime(80)
r = getPrime(80)
n = p * q * r
m = libnum.s2n(flag)
c = pow(m,e,n)
print("n =", n)
print("c =", c)
# n = 897607935780955837078784515115186203180822213482989041398073067996023639
# c = 490571531583321382715358426750276448536961994273309958885670149895389968
- 知道n后尝试用yafu分解n，发现不行
- 于是我用了在线分解n，发现有三个素数
- 最后用python解密得到flag
from Crypto.Util.number import *
import gmpy2
import binascii
e = 0x10001
p = 876391552113414716726089
q = 932470255754103340237147
r = 1098382268985762240184333
n = 897607935780955837078784515115186203180822213482989041398073067996023639
c = 490571531583321382715358426750276448536961994273309958885670149895389968
phi = (p - 1) * (q - 1) * (r - 1)
d = gmpy2.invert(e, phi)
m = pow(c, d, n)
# print(long_to_bytes(m))
# print(m)
print(binascii.unhexlify(hex(m)[2:]))
flag{what_that_fvck_r}
funnyrsa3（dp泄露）
e = 65537
n = 13851998696110232034312408768370264747862778787235362033287301947690834384177869107768578977872169953363148442670412868565346964490724532894099772144625540138618913694240688555684873934424471837897053658485573395777349902581306875149677867098014969597240339327588421766510008083189109825385296069501377605893298996953970043168244444585264894721914216744153344106498382558756181912535774309211692338879110643793628550244212618635476290699881188640645260075209594318725693972840846967120418641315829098807385382509029722923894508557890331485536938749583463709142484622852210528766911899504093351926912519458381934550361
dp = 100611735902103791101540576986246738909129436434351921338402204616138072968334504710528544150282236463859239501881283845616704984276951309172293190252510177093383836388627040387414351112878231476909883325883401542820439430154583554163420769232994455628864269732485342860663552714235811175102557578574454173473
c = 6181444980714386809771037400474840421684417066099228619603249443862056564342775884427843519992558503521271217237572084931179577274213056759651748072521423406391343404390036640425926587772914253834826777952428924120724879097154106281898045222573790203042535146780386650453819006195025203611969467741808115336980555931965932953399428393416196507391201647015490298928857521725626891994892890499900822051002774649242597456942480104711177604984775375394980504583557491508969320498603227402590571065045541654263605281038512927133012338467311855856106905424708532806690350246294477230699496179884682385040569548652234893413
dp=d%（p-1）
- python脚本解密
from gmpy2 import*
import binascii
e = 65537
n = 13851998696110232034312408768370264747862778787235362033287301947690834384177869107768578977872169953363148442670412868565346964490724532894099772144625540138618913694240688555684873934424471837897053658485573395777349902581306875149677867098014969597240339327588421766510008083189109825385296069501377605893298996953970043168244444585264894721914216744153344106498382558756181912535774309211692338879110643793628550244212618635476290699881188640645260075209594318725693972840846967120418641315829098807385382509029722923894508557890331485536938749583463709142484622852210528766911899504093351926912519458381934550361
dp = 100611735902103791101540576986246738909129436434351921338402204616138072968334504710528544150282236463859239501881283845616704984276951309172293190252510177093383836388627040387414351112878231476909883325883401542820439430154583554163420769232994455628864269732485342860663552714235811175102557578574454173473
c = 6181444980714386809771037400474840421684417066099228619603249443862056564342775884427843519992558503521271217237572084931179577274213056759651748072521423406391343404390036640425926587772914253834826777952428924120724879097154106281898045222573790203042535146780386650453819006195025203611969467741808115336980555931965932953399428393416196507391201647015490298928857521725626891994892890499900822051002774649242597456942480104711177604984775375394980504583557491508969320498603227402590571065045541654263605281038512927133012338467311855856106905424708532806690350246294477230699496179884682385040569548652234893413
for i in range(1,e): #在范围(1,e)之间进行遍历
if(dp*e-1)%i == 0:
if n%(((dp*e-1)//i)+1) == 0: #存在p，使得n能被p整除
p=((dp*e-1)//i)+1
q=n//(((dp*e-1)//i)+1)
phi=(q-1)*(p-1) #欧拉定理
d=invert(e,phi) #求模逆
m=pow(c,d,n) #快速求幂取模运算
# print(m) #16进制转文本
print(binascii.unhexlify(hex(m)[2:]))
flag{dp_i5_1eak}
unusualrsa1（m低位数据丢失）
# ********************
# @Author: Lazzaro
# ********************
from Crypto.Util.number import getPrime,bytes_to_long,long_to_bytes
from random import randint
from secret import flag
p = getPrime(1024)
q = getPrime(1024)
n = p*q
print(n)
m = bytes_to_long(long_to_bytes(randint(0,30))*208+flag)
assert(m.bit_length()==2044)
print((m>>315)<<315)
c = pow(m,3,n)
print(c)
# n = 14113948189208713011909396304970377626324044633561155020366406284451614054260708934598840781397326960921718892801653205159753091559901114082556464576477585198060530094478860626532455065960136263963965819002575418616768412539016154873800614138683106056209070597212668250136909436974469812231498651367459717175769611385545792201291192023843434476550550829737236225181770896867698281325858412643953550465132756142888893550007041167700300621499970661661288422834479368072744930285128061160879720771910458653611076539210357701565156322144818787619821653007453741709031635862923191561438148729294430924288173571196757351837
# m = 1520800285708753284739523608878585974609134243280728660335545667177630830064371336150456537012842986526527904043383436211487979254140749228004148347597566264500276581990635110200009305900689510908049771218073767918907869112593870878204145615928290375086195098919355531430003571366638390993296583488184959318678321571278510231561645872308920917404996519309473979203661442792048291421574603018835698487725981963573816645574675640357569465990665689618997534740389987351864738104038598104713275375385003471306823348792559733332094774873827383320058176803218213042061965933143968710199376164960850951030741280074168795136
# c = 6635663565033382363211849843446648120305449056573116171933923595209656581213410699649926913276685818674688954045817246263487415328838542489103709103428412175252447323358040041217431171817865818374522191881448865227314554997131690963910348820833080760482835650538394814181656599175839964284713498394589419605748581347163389157651739759144560719049281761889094518791244702056048080280278984031050608249265997808217512349309696532160108250480622956599732443714546043439089844571655280770141647694859907985919056009576606333143546094941635324929407538860140272562570973340199814409134962729885962133342668270226853146819
- 从题目给出的脚本可以看出，它丢失了明文的后315位，而且部分信息条件已知，那我们就可以用上次在easyrsa7中用到的sagemath解题，脚本与上次的类似
n = 14113948189208713011909396304970377626324044633561155020366406284451614054260708934598840781397326960921718892801653205159753091559901114082556464576477585198060530094478860626532455065960136263963965819002575418616768412539016154873800614138683106056209070597212668250136909436974469812231498651367459717175769611385545792201291192023843434476550550829737236225181770896867698281325858412643953550465132756142888893550007041167700300621499970661661288422834479368072744930285128061160879720771910458653611076539210357701565156322144818787619821653007453741709031635862923191561438148729294430924288173571196757351837
mbar = 1520800285708753284739523608878585974609134243280728660335545667177630830064371336150456537012842986526527904043383436211487979254140749228004148347597566264500276581990635110200009305900689510908049771218073767918907869112593870878204145615928290375086195098919355531430003571366638390993296583488184959318678321571278510231561645872308920917404996519309473979203661442792048291421574603018835698487725981963573816645574675640357569465990665689618997534740389987351864738104038598104713275375385003471306823348792559733332094774873827383320058176803218213042061965933143968710199376164960850951030741280074168795136
c = 6635663565033382363211849843446648120305449056573116171933923595209656581213410699649926913276685818674688954045817246263487415328838542489103709103428412175252447323358040041217431171817865818374522191881448865227314554997131690963910348820833080760482835650538394814181656599175839964284713498394589419605748581347163389157651739759144560719049281761889094518791244702056048080280278984031050608249265997808217512349309696532160108250480622956599732443714546043439089844571655280770141647694859907985919056009576606333143546094941635324929407538860140272562570973340199814409134962729885962133342668270226853146819
e = 3
pbits = 1024
kbits = 315
PR.<x> = PolynomialRing(Zmod(n))
f=(mbar + x) ^ e - c
x0 = f.small_roots(X=2^kbits,beta=0.4)[0]
print(mbar + int(x0))
- 得到mbar缺失的部分，加上后得到
mbar = 1520800285708753284739523608878585974609134243280728660335545667177630830064371336150456537012842986526527904043383436211487979254140749228004148347597566264500276581990635110200009305900689510908049771218073767918907869112593870878204145615928290375086195098919355531430003571366638390993296583488184959318678321571278510231561645872308920917404996519309473979203661442792048291421574603018835698487725981963573816645574675640357569465990665689618997534740389987351864738104038598104713275375385003471306823348792559733393609593321367463114703873343853590413300366406780333184299791982772652326424221774382732443261
- 用python把mbar十进制转换成字符串得到flag
from Crypto.Util.number import long_to_bytes
mbar = 1520800285708753284739523608878585974609134243280728660335545667177630830064371336150456537012842986526527904043383436211487979254140749228004148347597566264500276581990635110200009305900689510908049771218073767918907869112593870878204145615928290375086195098919355531430003571366638390993296583488184959318678321571278510231561645872308920917404996519309473979203661442792048291421574603018835698487725981963573816645574675640357569465990665689618997534740389987351864738104038598104713275375385003471306823348792559733393609593321367463114703873343853590413300366406780333184299791982772652326424221774382732443261
print(long_to_bytes(mbar)) # 十进制转换成bytes类型字符串
flag{r54__c0pp3r5m17h_p4r714l_m_4774ck_15_c00l~}