If dividing the product by one famous prime comes out to an easy integer but it takes a long time to test whether that integer is a prime, then you could just assume that it's a prime and see if you can derive the valid private key from that:)
Harassment caused by someone you know is still not any better than harassment by a stranger. Whether or not "you hate or have problems" with that person. If your brother asks someone to throw a brick through your window with a threatening note attached would that be OK just because you completed a survey?
That's exactly as sinister as it sounds. So instead of being randomly targeted, someone you know signs you up for harassment. Guess what, with violent crimes the victims often know their attackers. Does that make them feel all warm and fuzzy inside? The "opt in." Agreeing to receive marketing email is not the same as agreeing to be harassed and made to think your life is in danger.
In contrast, in the RSA system, which you and Kalirion are both referring to, *two* prime numbers are used, and these two primes must both be kept secret. Obviously, in this case, choosing one of the two secret primes from among the "famous" prime numbers, would certainly weaken the overall security of the encryption, by reducing the search space for a brute-force attack. However, given the huge set of primes from wich the other one could be chosen, I don't know whether choosing just one "famous" prime number for your secret pair would make the resulting secret key easy, or even computationally feasible to find, given our current state of technology.
With the RSA system, knowing one prime number lets you find the other one by a single division operation, since the product of the two primes is public. But yes, the Diffie-Hellman encryption would stay secure since the prime is known already.
If Japan's citizens did not want to be nuked, then they should have stopped their government from killing millions of Chinese, Filipinos, and other Asian neighbors. They started the killing; then they reaped what they had sowed.
While it may have ended up as some perverse National Karma, I sincerely doubt the U.S. nuked Japan in order to help the other Asian nations.
In real life situations the primes selected would be much larger, however in our example it would be relatively trivial to factor n, 3233, obtained from the freely available public key back to the primes p and q. Given e, also from the public key, we could then compute d and so acquire the private key.
I didn't go through all the math myself, but if this description is true, then knowing one of the primes makes factoring n becomes unnecessary, allowing us to "compute d and so acquire the private key."
So at least the RSA encryption is easily broken if you have a good guess as to one of the primes used.
Only the portion of the bursts that actually hit the device. The "Event horizon" here is limited to the device's physical size. I guess you could hide behind it if you know the burst is coming and its direction...
The technical mumbo-jumbo of various Star Trek series makes about as much sense to me as the medical mumbo-jumbo of House (regardless of the fact that I'm assuming the stuff in House is actually more or less scientifically valid - I still don't understand it so its the same to me.) The entertainment is in seeing the characters reacting to the situation. I don't watch House for the medicine, just as I didn't watch Star Trek strictly for the technology.
I say this is just the universe's version of Quantum Immortality. Every universe where the LHC is successfully run immediately undergoes a new Big Bang, so the only surviving universes are those where the experiment keeps having problems.
Slashdot Mirror
Yes, but it's harmful to me, so if it's a choice between that or not passing on my genes, guess which one I'd pick?
Aww, that's so precious, you still think Tor is not run by government spooks.
Personally, I'd consider a mutation that has my mate bite off my head as "harmful", but apparently it's good for propagation...
I love seeing the virtual dice rolls in Neverwinter Nights, because then I know just what an impact raising my AC by 1 point has, etc.
If dividing the product by one famous prime comes out to an easy integer but it takes a long time to test whether that integer is a prime, then you could just assume that it's a prime and see if you can derive the valid private key from that :)
Harassment caused by someone you know is still not any better than harassment by a stranger. Whether or not "you hate or have problems" with that person. If your brother asks someone to throw a brick through your window with a threatening note attached would that be OK just because you completed a survey?
That's exactly as sinister as it sounds. So instead of being randomly targeted, someone you know signs you up for harassment. Guess what, with violent crimes the victims often know their attackers. Does that make them feel all warm and fuzzy inside? The "opt in." Agreeing to receive marketing email is not the same as agreeing to be harassed and made to think your life is in danger.
Q. You know he wants it...
In contrast, in the RSA system, which you and Kalirion are both referring to, *two* prime numbers are used, and these two primes must both be kept secret. Obviously, in this case, choosing one of the two secret primes from among the "famous" prime numbers, would certainly weaken the overall security of the encryption, by reducing the search space for a brute-force attack. However, given the huge set of primes from wich the other one could be chosen, I don't know whether choosing just one "famous" prime number for your secret pair would make the resulting secret key easy, or even computationally feasible to find, given our current state of technology.
With the RSA system, knowing one prime number lets you find the other one by a single division operation, since the product of the two primes is public. But yes, the Diffie-Hellman encryption would stay secure since the prime is known already.
This "Goatse" kitten is the second ugliest kitten I've ever seen!
Yeah, these mice will put our CHAirForce pilots out of work!
If Japan's citizens did not want to be nuked, then they should have stopped their government from killing millions of Chinese, Filipinos, and other Asian neighbors. They started the killing; then they reaped what they had sowed.
While it may have ended up as some perverse National Karma, I sincerely doubt the U.S. nuked Japan in order to help the other Asian nations.
I was going by this description of RSA. Quote:
In real life situations the primes selected would be much larger, however in our example it would be relatively trivial to factor n, 3233, obtained from the freely available public key back to the primes p and q. Given e, also from the public key, we could then compute d and so acquire the private key.
I didn't go through all the math myself, but if this description is true, then knowing one of the primes makes factoring n becomes unnecessary, allowing us to "compute d and so acquire the private key."
So at least the RSA encryption is easily broken if you have a good guess as to one of the primes used.
One standard monthly fee for everyone regardless of customer needs and wants is socialism at best or communism at worst.
Yeah, I hate those red commie bastards at the local bakery who won't let me pay for only the muffin tops!
Only the portion of the bursts that actually hit the device. The "Event horizon" here is limited to the device's physical size. I guess you could hide behind it if you know the burst is coming and its direction...
Great,everyone starts using the new largest known prime number in their private key! That's like SUPER secure!
I'm not saying there are no practical benefits, I'm saying that some problems cannot be solved faster by adding more cores.
Higher resolution doesn't necessarily more graphics power. The original NES and the Playstation 2 had the same resolution....
That said, I really don't see the need for 1080p on a handheld screen - that's like 4320p on a 23" screen, or something like that.
As bad as police spy drones are for civil liberties, don't compare them to the military drones until you start arming them.
The fans didn't revolt to to the idea of midichlorians because it was "scientific." It was the idea that the force was caused by bacteria.
The technical mumbo-jumbo of various Star Trek series makes about as much sense to me as the medical mumbo-jumbo of House (regardless of the fact that I'm assuming the stuff in House is actually more or less scientifically valid - I still don't understand it so its the same to me.) The entertainment is in seeing the characters reacting to the situation. I don't watch House for the medicine, just as I didn't watch Star Trek strictly for the technology.
I say this is just the universe's version of Quantum Immortality. Every universe where the LHC is successfully run immediately undergoes a new Big Bang, so the only surviving universes are those where the experiment keeps having problems.
Pleas break the following problem into a billion parallel chunks to make the computation faster:
2 + 2 = ?
Unless the same quantum black magic can present all possible questions simultaneously...
Can you honestly conceive of "technological advances" that would make FTL communication possible?
Yes, and I'm not the only one. There are legitimate scientists who believe wormholes are possible. Also there may yet be a way to use this whole quantum entanglement business.
Or a computer that could compute all the evolution of the universe in a second?
Sure, as long as the computer exists outside of the universe in question (and therefore outside its spacetime.)