ctf
已知dp，n，e，c求明文m
import gmpy2 as gp
e = 65537
n = gp.mpz(248254007851526241177721526698901802985832766176221609612258877371620580060433101538328030305219918697643619814200930679612109885533801335348445023751670478437073055544724280684733298051599167660303645183146161497485358633681492129668802402065797789905550489547645118787266601929429724133167768465309665906113)
dp = gp.mpz(905074498052346904643025132879518330691925174573054004621877253318682675055421970943552016695528560364834446303196939207056642927148093290374440210503657)
c = gp.mpz(140423670976252696807533673586209400575664282100684119784203527124521188996403826597436883766041879067494280957410201958935737360380801845453829293997433414188838725751796261702622028587211560353362847191060306578510511380965162133472698713063592621028959167072781482562673683090590521214218071160287665180751)
for x in range(1, e):
if(edp%x==1):
p=(edp-1)//x+1
if(n%p!=0):
continue
q=n//p
phin=(p-1)*(q-1)
d=gp.invert(e, phin)
m=gp.powmod(c, d, n)
if(len(hex(m)[2:])%2==1):
continue
print('--------------')
print(m)
print(hex(m)[2:])
print(bytes.fromhex(hex(m)[2:]))
已知n,dp,dq,c求d和明文m
import gmpy2 as gp
p = gp.mpz()
q = gp.mpz()
dp = gp.mpz()
dq = gp.mpz()
c = gp.mpz()
n = pq
phin = (p-1)(q-1)
dd = gp.gcd(p-1, q-1)
d=(dp-dq)//dd * gp.invert((q-1)//dd, (p-1)//dd) * (q-1) +dq
print(d)
m = gp.powmod(c, d, n)
print('-------------------')
print(m)
print(hex(m)[2:])
已知n,e,c求m
import gmpy2
def Decrypt(c,e,p,q):
L=(p-1)(q-1)
d=gmpy2.invert(e,L)
n=pq
m=gmpy2.powmod(c,d,n)
flag=str(m)
print("flag{"+flag+"}")
if name == 'main':
p = 9648423029010515676590551740010426534945737639235739800643989352039852507298491399561035009163427050370107570733633350911691280297777160200625281665378483
q = 11874843837980297032092405848653656852760910154543380907650040190704283358909208578251063047732443992230647903887510065547947313543299303261986053486569407
e = 65537
c = 83208298995174604174773590298203639360540024871256126892889661345742403314929861939100492666605647316646576486526217457006376842280869728581726746401583705899941768214138742259689334840735633553053887641847651173776251820293087212885670180367406807406765923638973161375817392737747832762751690104423869019034
Decrypt(c,e,p,q)
已知n,e求秘钥d
import gmpy2
from Crypto.Util import number
p = 473398607161
q = 4511491
e = 17
d = gmpy2.invert(e,(p-1)*(q-1))
print (d)
已知n,e求秘钥d和key
import gmpy2
import rsa
p = 285960468890451637935629440372639283459
q = 304008741604601924494328155975272418463
e = 65537
n = 86934482296048119190666062003494800588905656017203025617216654058378322103517
d = gmpy2.invert(e,(q-1)*(p-1))
print(d)
d = 81176168860169991027846870170527607562179635470395365333547868786951080991441
key = rsa.PrivateKey(n,e,d,p,q)
print(key)
with open("flag.enc","rb") as f:
print(rsa.decrypt(f.read(),key).decode())
from gmpy2 import *
import libnum
n=22708078815885011462462049064339185898712439277226831073457888403129378547350292420267016551819052430779004755846649044001024141485283286483130702616057274698473611149508798869706347501931583117632710700787228016480127677393649929530416598686027354216422565934459015161927613607902831542857977859612596282353679327773303727004407262197231586324599181983572622404590354084541788062262164510140605868122410388090174420147752408554129789760902300898046273909007852818474030770699647647363015102118956737673941354217692696044969695308506436573142565573487583507037356944848039864382339216266670673567488871508925311154801
e1=11187289
e2=9647291
s = gcdext(e1, e2)
s1 = s[1]
s2 = -s[2]
c1=22322035275663237041646893770451933509324701913484303338076210603542612758956262869640822486470121149424485571361007421293675516338822195280313794991136048140918842471219840263536338886250492682739436410013436651161720725855484866690084788721349555662019879081501113222996123305533009325964377798892703161521852805956811219563883312896330156298621674684353919547558127920925706842808914762199011054955816534977675267395009575347820387073483928425066536361482774892370969520740304287456555508933372782327506569010772537497541764311429052216291198932092617792645253901478910801592878203564861118912045464959832566051361
c2=18702010045187015556548691642394982835669262147230212731309938675226458555210425972429418449273410535387985931036711854265623905066805665751803269106880746769003478900791099590239513925449748814075904017471585572848473556490565450062664706449128415834787961947266259789785962922238701134079720414228414066193071495304612341052987455615930023536823801499269773357186087452747500840640419365011554421183037505653461286732740983702740822671148045619497667184586123657285604061875653909567822328914065337797733444640351518775487649819978262363617265797982843179630888729407238496650987720428708217115257989007867331698397
e2=9647291
c2 = invert(c2, n)
m = (pow(c1,s1,n) * pow(c2 , s2 , n)) % n
print (m)
print (libnum.n2s(m))
e=1
#/usr/bin/env python3
#coding:utf-8
import binascii
import gmpy2
N_hex=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
e_hex=0x1
c_hex=0x4963654354467b66616c6c735f61706172745f736f5f656173696c795f616e645f7265617373656d626c65645f736f5f63727564656c797d
c_hex = gmpy2.mpz(c_hex)
N_hex = gmpy2.mpz(N_hex)
i = 0
while i<10:
m_hex = hex(c_hex + gmpy2.mpz(hex(i))*N_hex)
print(m_hex[2:])
try:
print(binascii.a2b_hex(m_hex[2:]).decode("utf8"))
except binascii.Error as e:
print("位数非偶数，跳过...")
i += 1
e=2
#!/usr/bin/python
# coding=utf-8
# 适合e=2
import gmpy
import string
from Crypto.PublicKey import RSA
# 读取公钥参数
with open('./tmp/pubkey.pem', 'r') as f:
key = RSA.importKey(f)
N = key.n
e = key.e
p = 275127860351348928173285174381581152299
q = 319576316814478949870590164193048041239
with open('./tmp/flag.enc', 'r') as f:
cipher = f.read().encode('hex')
cipher = string.atoi(cipher, base=16)
# print cipher
# 计算yp和yq
yp = gmpy.invert(p,q)
yq = gmpy.invert(q,p)
# 计算mp和mq
mp = pow(cipher, (p + 1) / 4, p)
mq = pow(cipher, (q + 1) / 4, q)
# 计算a,b,c,d
a = (yp * p * mq + yq * q * mp) % N
b = N - int(a)
c = (yp * p * mq - yq * q * mp) % N
d = N - int(c)
for i in (a,b,c,d):
s = '%x' % i
if len(s) % 2 != 0:
s = '0' + s
print s.decode('hex')
e=3
!/usr/bin/env python
coding:utf-8
import gmpy2
from Crypto.PublicKey import RSA
public_key = "./tmp/pubkey.pem"
cipher_file = "./tmp/flag.enc"
读入公钥 with open(public_key, "r") as f: key = RSA.importKey(f) n = key.n e = key.e #读入密文
with open(cipher_file, "r") as f: cipher = f.read().encode("hex") cipher = int(cipher, 16) #print(cipher) #破解密文 def get_flag(): i = 0 while True: if(gmpy2.iroot(cipher+in, 3)[1] == True): flag_bin = int(gmpy2.iroot(cipher+xn, 3)[0]) flag = hex(flag_bin)[2:-1].decode("hex") print(flag) break i += 1 def get_flag_for(): for x in xrange(118600000, 118720000): if(gmpy2.iroot(cipher+xn, 3)[1] == 1): flag_bin = int(gmpy2.iroot(cipher+xn, 3)[0]) flag = hex(flag_bin)[2:-1].decode("hex") print(flag) break if name == "main": get_flag_for() #get_flag()
