Hacking Secret Ciphers with Python

Chapter 23 – Finding Prime Numbers 361 FINDING PRIME NUMBERS Topics Covered In This Chapter:  Prime and Composite Numbers  The ...

362 http://inventwithpython.com/hacking Email questions to the author: [email protected] Prime Numbers A prime number is a ...

Chapter 23 – Finding Prime Numbers 363 The above number is so big, I’m going to guess you didn’t even read it to notice the typo ...

364 http://inventwithpython.com/hacking Email questions to the author: [email protected] Returns True if num is a prime ...

Chapter 23 – Finding Prime Numbers 365 The only module primeSieve.py needs is the math module. How to Calculate if a Number is P ...

366 http://inventwithpython.com/hacking Email questions to the author: [email protected] 49 ÷ 7 = 7 remainder 0 Actually, ...

Chapter 23 – Finding Prime Numbers 367 Table 23-1. A blank sieve of Eratosthenes, with each number marked as “prime”. Prime 1 Pr ...

368 http://inventwithpython.com/hacking Email questions to the author: [email protected] it is larger than 7.071, the squa ...

Chapter 23 – Finding Prime Numbers 369 create the sieve for i in range(2, int(math.sqrt(sieveSize)) + 1): pointer = i * 2 whi ...

370 http://inventwithpython.com/hacking Email questions to the author: [email protected] The code for this algorithm uses ...

Chapter 23 – Finding Prime Numbers 371 i = i + 1 v = (v ** 2) % num return True def isPrime(num): Return True if n ...

372 http://inventwithpython.com/hacking Email questions to the author: [email protected] Sample Run of the Rabin Miller Mo ...

Chapter 23 – Finding Prime Numbers 373 i = 0 while v != (num - 1): if i == t - 1: return False else: i = i + 1 v = (v ** 2) % n ...

374 http://inventwithpython.com/hacking Email questions to the author: [email protected] 421, 431, 433, 439, 443, 449, 457 ...

Chapter 23 – Finding Prime Numbers 375 def generateLargePrime(keysize=1024): Return a random prime number of keysize bits in s ...

376 http://inventwithpython.com/hacking Email questions to the author: [email protected] In the next chapter, we will use ...

Chapter 24 – Public Key Cryptography and the RSA Cipher 377 Warning to Time Travelers: Should you travel back to the early 1990’ ...

378 http://inventwithpython.com/hacking Email questions to the author: [email protected] PUBLIC KEY CRYPTOGRAPHY AND THE R ...

Chapter 24 – Public Key Cryptography and the RSA Cipher 379 Now the politicians are saying ‘Oh, send in the Marines to secure th ...

380 http://inventwithpython.com/hacking Email questions to the author: [email protected] Say someone on the other side of ...