Next time: Chapter 10: Perfect numbers and Mersenne Primes
Today:
Return homework:
Section 6.1: Whoops! Sorry, left it at home....
Collect 7.2 homework; 7.3 due Thursday
Let's combine the 7.5 homeworks, and have them due next Tuesday. I'll get
them finished by Wednesday, so that you can have them to study for the exam,
which is next Thursday. That will cover only material through chapter 7.
"To demonstrate that their cryptosystem could withstand
any attack on its security, the three inventors submitted a ciphertext message
to Scientific American, with an offer of $100 to anyone who could decode
it. The message depended on a 129-digit enciphering modulus that was the
product of two primes of approximately the same length. This large number
acquired the name RSA-129. Taking into account the most powerful factoring
methods and fastest computers available at the time, it was estimated that at
least 40 quadrillion years would be required to break down RSA-129 and decipher
the message. However, by devoting enough computing power to the task the
factorization was realized in 1994 [just shy of the 40 quadrillion year
mark...;]" p. 150
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