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Old 2021-09-21, 05:51   #1
polad
 
Sep 2021

110 Posts
Default How long does it take to test next mersenne number

I'm new to the community I'm sorry if this is not a correct place for this, but, I wonder how long does it take to test for Mersenne number? the reason I ask is that from a security standpoint, recommended RSA encryption is 2048 bit long, which is derived from 2 big prime numbers, it must be relatively easy to factorize 2^2048 rather than testing the next Mersenne number (current Mersenne number is m113903941). again the reason I ask is that supposing there are monetary incentives to find the next prime numbers, there is even more behind factorizing RSA keys, like for example there are keys that contains a lot of cryptocurrencies in it which worth billions of dollars. so how much wrong or right I am thinking about this?
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