You are required to submit your code (as demonstrated in the lab manual) and running results (with comments if necessary).

You are required to submit your code (as demonstrated in the lab manual) and running results (with comments if necessary).

An Industrial-Grade RSA System.

The RSA Corporation put out a number of public challenges with monetary rewards to factor some very large RSA moduli. RSA no longer offers such challenges, but RSA-640 was the last of these challenges that they put out in 2001 to be factored. The factorization was announced in 2005 by a team of scientists and it took 30 2.2GHz-Opteron-CPU years (in over 5 months of calendar time).

RSA-640 has 193 decimal digits (640 bits)

RSA-640 = 310741824049004372135075003588856793003734602284272754572016194882320644051808 150455634682967172328678243791627283803341547107310850191954852900733772482278 3525742386454014691736602477652346609

In the following tasks, use hexadecimal format for all numbers in your code:

Find the two prime factors and verify that they are indeed the factors of RSA-640. (Use VirtualBox and Openssl and BIGNUM library).

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