20080121, 07:18  #1 
May 2007
Kansas; USA
2×5,261 Posts 
Report top5000 primes for all k<=1001
Please report all top5000 primes for k<=1001 in this thread.
The Prime Wiki has a list of all primes found and searchranges previously completed on the k's that we will be searching here. It includes all known nranges starting at n=1 and will be updated as we complete nranges and find primes. For 300<k<=1001 and n>=260K, the ranges and primes will be shown in the team drives here. Instructions for submitting a top5000 prime: Step 1: For people who have not submitted top5000 primes previously, create a prover account: 1. Go to https://primes.utm.edu/bios/newprover.php. 2. Fill out the form and submit it. You will be assigned a prover account. Step 2: Create a proof code: 1. Go to https://primes.utm.edu/bios/newcode.php. 2. Type in your name that you created in step 1 in the space provided. 3. In the list of proof programs. Select Jean Penne's LLR. (If you used PFGW then select OpenPFGW.) 4. In the space below all of the proof programs that says "none", type "NPLB, srsieve, psieve" (WITH the commas and a space in between each but without the quotes) for the project and sieving software. [If you did an individualk search on your own, then the software may vary.] 5. You should now have a new proof code and can submit the prime. Example...L442. Step 3: Submit the prime: 1. Go to https://primes.utm.edu/bios/index.php. 2. Next to 'search for proofcode', type your new code from step 2 and press enter. 3. Towards the bottom, next to 'Submit primes using this code as', click on your name (prover account) and press enter. 4. You should see a big freeform box. Type in your prime (no spaces needed) and click 'Press here to submit these prime(s)'. 5. If necessary in the little popup box, type in your user name (prover account) and password and press enter. 6. A verification screen will come up. If the prime is correct, click 'Press here to complete submission'. Gary Last fiddled with by gd_barnes on 20210904 at 20:40 Reason: update 
20080122, 11:13  #2 
May 2007
Kansas; USA
10522_{10} Posts 
Prime to get us started...
It's not quite top5000 material but here's the first one to get us started:
745*2^3332391 is prime (100318 digits) This is pretty good for this kvalue. Even thought it's relatively average weight, up to n=260K, its previous highest prime to date was at n=75771. Gary 
20080122, 13:55  #3 
Mar 2006
Germany
3^{2}×5^{2}×13 Posts 
here we go:
747*2^3337091 is prime! (100460 digits) 
20080122, 16:13  #4 
May 2007
Kansas; USA
2×5,261 Posts 
Bring it on!
I want it noted that Prime Search has 53 top5000 primes (now 54) at the beginning of this project and is in 9th place. We should be able to fairly quickly move up into 6th place, which is the old 15k project that has 82 primes. Edit: It's kind of interesting that our first two primes were for k=745 and k=747. Gary Last fiddled with by gd_barnes on 20080122 at 16:14 
20080201, 09:04  #5 
Sep 2004
2×5×283 Posts 
495*2^3388041 is prime!
639*2^3436831 is prime! 639*2^3433051 is prime! 489*2^3433031 is prime! Last fiddled with by mdettweiler on 20090921 at 02:04 Reason: merging posts to clean things up a bit 
20080201, 16:14  #6 
May 2007
Kansas; USA
2·5,261 Posts 
FINALLY! A top5000 prime for 400<k< 500. There are just a few less k's in the 400's than the others due to prior reservations and searches but it was still surprising how long it took to find one.
2 more to move into 7th place all alone! 
20080204, 17:26  #7 
May 2007
Kansas; USA
24432_{8} Posts 
Great run Carlos! That's amazing on k=639. I cannot recall primes so close together on a single k at such a high n and such a low k. (only n=378 difference)
In the mean time, another 'smaller' one: 533*2^3214101 is prime Gary 
20080205, 16:42  #8 
A Sunny Moo
Aug 2007
USA (GMT5)
3·2,083 Posts 

20080205, 17:33  #9 
May 2007
Kansas; USA
291A_{16} Posts 
Wow, I'm offline for 10 hours to get some rest and I come back and we have 5 new primes including 2 top5000's!!

20080210, 20:13  #10 
Sep 2004
2·5·283 Posts 
All primes so far found by LLRNet have been doublechecked by me using LLR 3.7.1c on an AMD 64 3000+ (2GHz).
Code:
693*2^3219591 is prime! Time : 255.119 sec. 795*2^3220141 is prime! Time : 234.755 sec. 833*2^3225301 is prime! Time : 277.265 sec. 423*2^3244301 is prime! Time : 266.972 sec. 565*2^3247891 is prime! Time : 240.924 sec. 495*2^3250701 is prime! Time : 240.929 sec. 473*2^3252561 is prime! Time : 240.986 sec. 789*2^3253751 is prime! Time : 320.555 sec. 705*2^3252741 is prime! Time : 241.211 sec. 741*2^3256611 is prime! Time : 241.499 sec. 625*2^3272911 is prime! Time : 242.718 sec. 603*2^3257921 is prime! Time : 286.115 sec. 667*2^3274651 is prime! Time : 141.441 sec. 915*2^3286731 is prime! Time : 292.732 sec. 605*2^3294521 is prime! Time : 293.204 sec. 833*2^3294901 is prime! Time : 293.129 sec. 895*2^3296411 is prime! Time : 346.403 sec. 987*2^3296521 is prime! Time : 326.962 sec. 987*2^3300331 is prime! Time : 341.785 sec. 973*2^3303631 is prime! Time : 325.952 sec. 705*2^3304721 is prime! Time : 338.511 sec. 
20080213, 17:26  #11 
Sep 2004
2×5×283 Posts 
Yes he does.
user=FreeDC_em99010pepe [02/13/08 17:07:35] 573*2^3504261 is prime! With only one core on LLRnet!!! 441*2^3239131 is prime! (Confirmed) Last fiddled with by em99010pepe on 20080213 at 17:32 
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