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Old 2018-01-11, 19:04   #441
masser
 
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It made my day to hear the short discussion below on my Tuesday evening commute.

You can download the January 9th 2018 show here:
The World Show Archives
(streaming the episode didn't work so well, but downloading the full episode as mp3 worked fine)

The discussion of M50 begins at about 10:00 and ends by 13:45.
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Old 2018-01-12, 03:02   #442
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Quote:
Originally Posted by masser View Post
(streaming the episode didn't work so well, but downloading the full episode as mp3 worked fine)

The discussion of M50 begins at about 10:00 and ends by 13:45.
https://www.podtrac.com/pts/redirect...180109full.mp3
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Old 2018-01-12, 14:28   #443
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The Weather Network
https://www.theweathernetwork.com/am...-matters/93434
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Old 2018-01-12, 19:51   #444
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I have noticed some nice upward trends on the graphs page:
https://www.mersenne.org/primenet/graphs.php

A big jump in DC's. Hopefully those quick results will hook the newbies.
Maybe we can clear/prove M(42643801) (M46) by the end of Feb, 43M (along with M 47) by the end of April , and 44M by the end of July.

And maybe the first time LL's will clear 80 by August?
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Old 2018-01-13, 20:15   #445
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https://phys.org/news/2018-01-prime-millions-digits.amp
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Old 2018-01-14, 09:34   #446
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Quote:
Originally Posted by petrw1 View Post
They talk about RSA ... very often article talking about GIMPS did it.
But If I am not wrong, RSA currently uses primes much smaller than GIMPS prime?

Last fiddled with by pacionet on 2018-01-14 at 09:34
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Old 2018-01-14, 09:43   #447
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Quote:
Originally Posted by pacionet View Post
They talk about RSA ... very often article talking about GIMPS did it.
But If I am not wrong, RSA currently uses primes much smaller than GIMPS prime?
The trick of RSA is to use two primes that can not be factored easily. Using one (or two) of the 50 known Mersenne primes would make this task of factoring too easy.

Last fiddled with by paulunderwood on 2018-01-14 at 10:00
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Old 2018-01-14, 09:56   #448
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Quote:
Originally Posted by pacionet View Post
They talk about RSA ... very often article talking about GIMPS did it.
But If I am not wrong, RSA currently uses primes much smaller than GIMPS prime?
Yes, you're right.
Most people currently use RSA keys with prime numbers of 1024 or 2048 bits each.
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Old 2018-01-14, 12:29   #449
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Quote:
Originally Posted by Nick View Post
Yes, you're right.
Most people currently use RSA keys with prime numbers of 1024 or 2048 bits each.
You sure about that? I thought most keys are of that size so the primes will be 512 or 1024 bits.

It's easy enough, though tedious, to check. I may get a round tuit one day.
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Old 2018-01-14, 13:17   #450
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Quote:
Originally Posted by xilman View Post
You sure about that? I thought most keys are of that size so the primes will be 512 or 1024 bits.

It's easy enough, though tedious, to check. I may get a round tuit one day.
The US NIST, for example, currently mandates a minimum of 2048 bits for the modulus.
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Old 2018-01-14, 16:54   #451
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Quote:
Originally Posted by Nick View Post
The US NIST, for example, currently mandates a minimum of 2048 bits for the modulus.
We're in violent agreement. However, what is the key size of most current keys?

Now definitely time to rummage around at the back of sofa to see if I can find a round tuit.

Last fiddled with by xilman on 2018-01-14 at 16:57
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