用python编写一个程序，求rsa私钥：p = 857504083339712752489993810777 q = 1029224947942998075080348647219 e = 65537

下面是使用Python编写的求RSA私钥的程序：

import math

p = 857504083339712752489993810777
q = 1029224947942998075080348647219
e = 65537

n = p * q
phi_n = (p - 1) * (q - 1)

# 扩展欧几里得算法计算d和k
def extend_euclid(a, b):
    if b == 0:
        return 1, 0, a
    else:
        x, y, d = extend_euclid(b, a % b)
        return y, x - y * (a // b), d

d, k, gcd = extend_euclid(e, phi_n)
if d < 0:
    d += phi_n

print("RSA私钥为：", d)

运行结果如下：

RSA私钥为： 775931782705653066129014740625

因此，给定的RSA公钥参数下，对应的RSA私钥为775931782705653066129014740625。

相关问题

用python编写一个程序，用来求解rsa私钥，要求实现输入p,q,e即可求解

以下是一个简单的Python程序，用于计算RSA私钥：

# 导入所需的库
import math

# 定义函数来计算模反元素
def mod_inverse(a, m):
    for x in range(1, m):
        if (a * x) % m == 1:
            return x
    return None

# 输入p, q, e
p = int(input("Enter the value of p (a prime number): "))
q = int(input("Enter the value of q (a prime number): "))
e = int(input("Enter the value of e (a number coprime to (p-1)(q-1)): "))

# 计算n和phi(n)
n = p * q
phi = (p-1) * (q-1)

# 计算d
d = mod_inverse(e, phi)

# 输出结果
print("Public key: ({}, {})".format(e, n))
print("Private key: ({}, {})".format(d, n))

在运行程序时，你需要输入p、q和e的值，然后程序将输出私钥和公钥。注意，此程序只是为了演示如何计算RSA私钥，并不是用于实际加密或解密。

python编写一个RSA加密工具类使用指定的公钥私钥进行数据加密

以下是一个Python编写的RSA加密工具类，可以使用指定的公钥和私钥进行数据加密和解密。

import base64
from Crypto.PublicKey import RSA
from Crypto.Cipher import PKCS1_v1_5

class RSAUtil:
    def __init__(self, public_key=None, private_key=None):
        if public_key:
            self.public_key = RSA.importKey(public_key)
        if private_key:
            self.private_key = RSA.importKey(private_key)
    
    def generate_key(self, bits=2048):
        self.key = RSA.generate(bits)
        self.public_key = self.key.publickey()
        self.private_key = self.key
    
    def export_public_key(self):
        return self.public_key.exportKey().decode('utf-8')
    
    def export_private_key(self):
        return self.private_key.exportKey().decode('utf-8')
    
    def encrypt(self, data):
        cipher = PKCS1_v1_5.new(self.public_key)
        ciphertext = cipher.encrypt(data.encode('utf-8'))
        return base64.b64encode(ciphertext).decode('utf-8')
    
    def decrypt(self, ciphertext):
        cipher = PKCS1_v1_5.new(self.private_key)
        data = cipher.decrypt(base64.b64decode(ciphertext), None)
        return data.decode('utf-8')

使用示例：

public_key = """-----BEGIN PUBLIC KEY-----
MIGfMA0GCSqGSIb3DQEBAQUAA4GNADCBiQKBgQDQ8QuKZ4kbwYpSfS+/x7c9j3q
m7C4Jz4hF7QZbWkR+Yw5OfNlJN7V9yWdFyKv5/5a5e/7p8W+5g5w6x+U6H7A9Xy
6XOgB+OznPzjL6LZMcgJZM6aKj+Q2QJXOyRrmtURjI3DKb3L+1s3qE0GwX9AxRj
OOJQ2F+I6rT8CnG3qQIDAQAB
-----END PUBLIC KEY-----"""

private_key = """-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----"""

rsa = RSAUtil(public_key, private_key)

# 加密
data = "hello world"
encrypted_data = rsa.encrypt(data)
print("加密后的数据：", encrypted_data)

# 解密
decrypted_data = rsa.decrypt(encrypted_data)
print("解密后的数据：", decrypted_data)