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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 13954 ID: 53948 Credit: 392,336,518 RAC: 171,309
                               
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tng* has found the world record twin primes:
2996863034895*2^1290000-1
2996863034895*2^1290000+1
These primes are 388,342 digits long. The previous record twin primes, also found by PrimeGrid in 2011, have 200,700 digits.
EDIT: Official announcement: http://www.primegrid.com/download/twin-1290000.pdf
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My lucky number is 75898524288+1 |
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Congratulations tng, very few people can claim world records of any type.
Conan
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Excellent news for PrimeGrid (and tng*)! Let's hope a Sophie Germain Prime is around the corner.
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This is great news! Congrats to tng* for being the lucky one, but thanks also to everyone else who has kept crunching away at these since the last twin found in December 2011.
This find nearly doubles the previous record for digit length (388342 vs 200700). Now time to find that Sophie :)
- Iain
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Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime! |
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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 13954 ID: 53948 Credit: 392,336,518 RAC: 171,309
                               
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This is great news! Congrats to tng* for being the lucky one, but thanks also to everyone else who has kept crunching away at these since the last twin found in December 2011.
This find nearly doubles the previous record for digit length (388342 vs 200700). Now time to find that Sophie :)
- Iain
Should be "another".
Scott found the first Sophie in this range in February. :)
http://www.primegrid.com/download/SGS_2618163402417_1290000.pdf
In case anyone's wondering, yes, we keep searching for more twin primes and Sophie Germain pairs.
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My lucky number is 75898524288+1 |
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I knew my record would have been broken soon, and now here is the news.
Congrats tng* on the find. |
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Congrats from me as well! |
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Congratulations tng*, nice find. |
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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 13954 ID: 53948 Credit: 392,336,518 RAC: 171,309
                               
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The official announcement is here: http://www.primegrid.com/download/twin-1290000.pdf
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My lucky number is 75898524288+1 |
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Congratulations and cheers,
Chris
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My lucky number is 113912436^65536+1 |
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I wrote a little blog post about this, which among other things, contains links to the full, unedited versions of the two primes (68 pages each):
http://www.epcc.ed.ac.uk/~ibethune/files/twin1290000plus.pdf
http://www.epcc.ed.ac.uk/~ibethune/files/twin1290000minus.pdf
Cheers
- Iain
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Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime! |
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Crun-chi Volunteer tester
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Joined: 25 Nov 09 Posts: 3208 ID: 50683 Credit: 135,132,479 RAC: 77,147
                         
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How is chosen N in this project?
I look backward and N was 666666 then 666667and 666670 and now is 1290000.
Next will be......?
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92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
2022202116^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie! |
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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 13954 ID: 53948 Credit: 392,336,518 RAC: 171,309
                               
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How is chosen N in this project?
I look backward and N was 666666 then 666667and 666670 and now is 1290000.
Next will be......?
This is the thread where Lennart was deciding which 'n' to use: http://www.primegrid.com/forum_thread.php?id=4284
The choice of 'n' was based on being large enough to be relatively high on the Top 5000 Primes list while being still small enough so that primes can be found relatively quickly. Which FFT size would be used on different CPU types was also a concern -- Lennart didn't want some CPUs to switch to larger FFT sizes, which would slow down the calculations.
As for which 'n' comes next, we don't know. That decision won't be made until we're done with the current 'n'. At least for now we are going to keep searching the same range. There's lots more candidates to search in the sieve file, and every new Twin or Sophie will be a new world record, if only by a tiny margin.
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My lucky number is 75898524288+1 |
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