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Message boards :
General discussion :
What PrimeGrid prime numbers are used for?
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Hello everyone
I leave here a question, surely other people have already asked the same thing, forum administrators can delete my question if they wish.
Question: Can anyone tell me what PrimeGrid prime numbers are used for?
Thank you. | |
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Crun-chi Volunteer tester
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Joined: 25 Nov 09 Posts: 3048 ID: 50683 Credit: 63,361,547 RAC: 29,335
                      
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Except fact, that is very rare, for nothing :)
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92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
314187728^131072+1 GENERALIZED FERMAT
31*332^367560+1 CRUS PRIME
Proud member of team Aggie The Pew. Go Aggie! | |
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JimB Honorary cruncher Send message
Joined: 4 Aug 11 Posts: 916 ID: 107307 Credit: 974,532,191 RAC: 276
                    
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Hello everyone
I leave here a question, surely other people have already asked the same thing, forum administrators can delete my question if they wish.
Question: Can anyone tell me what PrimeGrid prime numbers are used for?
Thank you.
On the conjecture projects (ESP, PSP, SoB, SR5, TRP) they help to prove the conjecture. For other projects, they're just relatively large prime numbers with no use in particular. We do check all primes of the form k*2^n+1 where k<> 1 to see if they're Fermat divisors, but someone else would have to explain why those are useful. | |
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Also, projects such as the smaller Generalized Fermat Number (GFN) searches may help test whether models on the expected frequency of primes among such numbers seem to be corroborated by numerical evidence or not. However, by the nature of it, no rigorous proof or refutation of statements about the asymptotic behavior can come out of this. Only indications. /JeppeSN | |
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I may be wrong but very large prime numbers are also used for encryption. | |
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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 13579 ID: 53948 Credit: 250,620,196 RAC: 174,332
                           
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I may be wrong but very large prime numbers are also used for encryption.
That is true, but "large" is a very subjective adjective.
The prime numbers used in encryption are positively miniscule compared to the prime numbers we search for here.
Where PrimeGrid's work helps with things like encryption is the techniques than theorems that enable the searches for the really large primes can then be used to easily find the small primes used in encryption technologies.
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My lucky number is 75898524288+1 | |
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Message boards :
General discussion :
What PrimeGrid prime numbers are used for? |