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-   -   Report top-5000 primes for all k<=1001 (https://www.mersenneforum.org/showthread.php?t=9891)

gd_barnes 2008-08-09 18:18

555*2^516529-1 is prime

gd_barnes 2008-08-10 00:57

793*2^516715-1 is prime

gd_barnes 2008-08-10 06:02

A nice range for n=516K-517K...

819*2^516883-1 is prime

Lennart 2008-08-10 08:37

Confirmed Prime
 
675*2^529997-1 is confirmed prime
/Lennart

Cruelty 2008-08-12 07:17

317*2^981378-1 (295427 digits)

gd_barnes 2008-08-12 10:14

[quote=Cruelty;139188]317*2^981378-1 (295427 digits)[/quote]

:george::george::george:


EXCELLENT!! That's HUGE and by far the biggest for NPLB! Nice find Cruelty! :smile:

Cruelty 2008-08-12 10:49

Thanks :smile: It's also the largest prime for PrimeSearch so far :whistle:

Mini-Geek 2008-08-12 11:46

Wow! Nice prime! Congrats!
That'll probably stand for a while as PrimeSearch's largest prime on the Top 5000.

mdettweiler 2008-08-12 14:33

[quote=Cruelty;139195]Thanks :smile: It's also the largest prime for PrimeSearch so far :whistle:[/quote]
Woo hoo! Congratulations! :groupwave:

gd_barnes 2008-08-15 12:10

847*2^518645-1 is prime

gd_barnes 2008-08-16 10:45

789*2^518911-1 is prime

This now moves Primesearch ahead of the 12121 search into 11th place on score on the top-5000 site. That was a BIG effort to move from 12th to 11th! By comparison, moving up 2 more places to 9th should be relatively easy and should be accomplished a little before we hit n=600K on our 2 main drives assuming no big primes by the 2 projects just ahead of us. One of those projects has not had a prime in 4 years and the other has not had a prime in 7 months so that seems unlikely.


Gary

Mini-Geek 2008-08-18 01:38

565*2^530221-1 is prime!

Mini-Geek 2008-08-18 11:12

591*2^530223-1 is prime!
Wow!!! So close to my last one! This is one rank above my last prime, and has the same number of digits. My last one starts with 1504455... and this one starts with 6294749...
:bounce::banana::showoff:

gd_barnes 2008-08-18 20:24

[quote=Mini-Geek;139469]591*2^530223-1 is prime!
Wow!!! So close to my last one! This is one rank above my last prime, and has the same number of digits. My last one starts with 1504455... and this one starts with 6294749...
:bounce::banana::showoff:[/quote]


Oh, wow! Congrats on a nice pair! If I had to guess, I doubt there are 2 primes so close together for ANY n>200K for all values of k<=1001.

If you have a little time and are a little bored, see what the closest 2 n-values together are for primes on the top-5000 site where k<=1001 and n>200K.

gd_barnes 2008-08-18 20:37

This prime has a 'cool' look with a lot of 9's in it: :smile:

991*2^519993-1 is prime

Mini-Geek 2008-08-18 22:33

[quote=gd_barnes;139481]Oh, wow! Congrats on a nice pair! If I had to guess, I doubt there are 2 primes so close together for ANY n>200K for all values of k<=1001.

If you have a little time and are a little bored, see what the closest 2 n-values together are for primes on the top-5000 site where k<=1001 and n>200K.[/quote]
507*2^217588-1 and 495*2^217588-1 are both prime, as are 891-2^261255 and 313*2^261255-1. These are the closest in n-value through n=600K (what's on the Prime Search page anyway). The next smallest n gap in the n=500K range is 25*2^587585-1 and 301*2^587635-1.

gd_barnes 2008-08-19 09:46

[quote=Mini-Geek;139488]507*2^217588-1 and 495*2^217588-1 are both prime, as are 891-2^261255 and 313*2^261255-1. These are the closest in n-value through n=600K (what's on the Prime Search page anyway). The next smallest n gap in the n=500K range is 25*2^587585-1 and 301*2^587635-1.[/quote]


Interesting. So yours are the closest together for n>265K. That's remarkable for n>530K!

Of course Primesearch does not have a lot of primes for k<300 and is missing some for k>300 that are reserved by others there but found by us. You'd have to use a recent k<300 page (I keep one updated at all times) or try searching the top-5000 site to know for sure, which would be very time consuming.


Gary

gd_barnes 2008-08-19 09:57

955*2^521891-1 is prime

Mini-Geek 2008-08-19 11:12

[quote=gd_barnes;139505]Interesting. So yours are the closest together for n>265K. That's remarkable for n>530K!

Of course Primesearch does not have a lot of primes for k<300 and is missing some for k>300 that are reserved by others there but found by us. You'd have to use a recent k<300 page (I keep one updated at all times) or try searching the top-5000 site to know for sure, which would be very time consuming.


Gary[/quote]
My first idea was to look at the top-5000 site, but it has so many primes of so many forms that just limiting it to riesel base 2 k < 1002 would be difficult, not to mention it wouldn't have the full list of < #5000, which would be needed to look down to n > 200K.
Here's the top of the CSV file I worked up to see the gaps:
[code] 261255 0
217588 0
464001 1
458098 1
234304 1
343303 2
314000 2
307794 2
286103 2
246354 2
215859 2
357331 3
287537 3
215614 3
374455 4
278054 4
259537 4
251754 4
222606 4[/code]So, mine's not the smallest n gap n>265K, I was just pointing out the two that had identical n's. Mine's the smallest [B]n-gap[/B] for n>464001, but for the smallest [B]size[/B] (# of digits and what they are) difference, you'd have to check the k values and multiply the number out and everything.
But yeah, regardless of past primes, that's quite an amazingly small gap, and I'm glad I got it. :smile:

gd_barnes 2008-08-19 20:22

[quote=Mini-Geek;139507]
But yeah, regardless of past primes, that's quite an amazingly small gap, and I'm glad I got it. :smile:[/quote]


For one of our most faithful searchers, I'm glad you got it too. I know you had some dormant reservations for quite a while. As is the nature of randomness, everything evens out in the long run. In this case, had you not chosen to take the higher n-range with all n-values at the higher fftlen, you likely wouldn't have gotten the nice pair or 3 within just an n=600 range.


Gary

Mini-Geek 2008-08-19 22:05

[quote=gd_barnes;139522]For one of our most faithful searchers, I'm glad you got it too. I know you had some dormant reservations for quite a while. As is the nature of randomness, everything evens out in the long run. In this case, had you not chosen to take the higher n-range with all n-values at the higher fftlen, you likely wouldn't have gotten the nice pair or 3 within just an n=600 range.


Gary[/quote]
Yep, the randomness of primes is annoying at times and so so much fun at other times (depending on how it's treating you, of course :smile:). The gap between the 3 is actually just n=120. It's part of a n=600 range I reserved, as you know and pointed out, but the distance between the first of these primes and the most recent is only 120.
Well, it makes up for that mistake Anon made a while back that gipped me out of 3 primes (he didn't notice my reservation and sent a range which I partially reserved to an LLRnet server, which promptly returned 3 primes in an n=64 part of the n=100 range I should've had). Those primes were:
[code]615*2^419082-1 AES
451*2^419059-1 AES
831*2^419018-1 AES[/code]Oh well, I got a nice triplet of primes now, and they're a lot bigger! :smile:

gd_barnes 2008-08-20 09:50

465*2^522168-1 is confirmed prime

817*2^522253-1 is prime

gd_barnes 2008-08-22 15:16

user=Beyond_Free-DC
[20/08/2008 02:19:01 PM]
521*2^522422-1 is prime! Time : 5697.0 sec.

gd_barnes 2008-08-26 08:37

After a bit of a dry period on drive 1:

595*2^524229-1 is prime

gd_barnes 2008-08-26 20:11

711*2^524387-1 is prime

gd_barnes 2008-08-28 07:22

Here's one from the lowest k in the 1st drive:

401*2^524862-1 is prime

kar_bon 2008-08-28 10:16

[QUOTE=Mini-Geek;139527]Yep, the randomness of primes is annoying at times and so so much fun at other times (depending on how it's treating you, of course :smile:). The gap between the 3 is actually just n=120. It's part of a n=600 range I reserved, as you know and pointed out, but the distance between the first of these primes and the most recent is only 120.
Well, it makes up for that mistake Anon made a while back that gipped me out of 3 primes (he didn't notice my reservation and sent a range which I partially reserved to an LLRnet server, which promptly returned 3 primes in an n=64 part of the n=100 range I should've had). Those primes were:
[code]615*2^419082-1 AES
451*2^419059-1 AES
831*2^419018-1 AES[/code]Oh well, I got a nice triplet of primes now, and they're a lot bigger! :smile:[/QUOTE]

only for another info:
i found from Team Drive #1 a quadruplet in difference of 123 at n=340k:
645·2^340424-1, 909·2^340456-1, 579·2^340540-1 and 685·2^340547-1!

em99010pepe 2008-08-30 07:31

user=Free-DC_em99010pepe
[08/30/08 06:44:48]
453*2^530675-1 is prime! Time : 1341.0 sec.

gd_barnes 2008-08-30 08:12

[quote=em99010pepe;140399]user=Free-DC_em99010pepe
[08/30/08 06:44:48]
453*2^530675-1 is prime! Time : 1341.0 sec.[/quote]


Congrats on finding the 400th prime by Primesearch!! What an accomplishment in just over 7 months! Thanks to everyone for your efforts!


:george::george:

em99010pepe 2008-08-31 06:41

607*2^530957-1 is prime!

gd_barnes 2008-08-31 09:13

525*2^527270-1 is confirmed prime

gd_barnes 2008-08-31 09:24

[quote=em99010pepe;140479]607*2^530957-1 is prime![/quote]


Carlos,

In addition to getting NPLB's 400th prime on the one before this, I think you've just accomplished something that I've never seen before.

Your two primes here are the ONLY two primes on the status page at the top-5000 site. That means that they are the only two submitted there in the last 72 hours.

That looks very funny but it's cool that they are yours and NPLB's primes! :smile:

Edit: I just now noticed this comment on the page from Prof. Caldwell so I guess this is the first time they've seen it also:

[quote]
Let me know of any problems that you see ([EMAIL="caldwell@utm.edu"]caldwell@utm.edu[/EMAIL]). A record slow period for prime submission!
[/quote]



Gary

em99010pepe 2008-08-31 10:04

:goodposting:...:w00t:...:party:

gd_barnes 2008-08-31 19:34

Sorry, I have to join you on the 72-hour status list for top-5000, lol:

615*2^527416-1 is prime

gd_barnes 2008-09-04 06:18

723*2^533086-1 is prime

PatrickSchmeer 2008-09-05 23:24

My first prime for NPLB
 
635*2^541112-1 is prime ‏(‎162894 digits)

Found on 2008 Sept. 5 at 08h26m UTC (noticed by me at 22h28m) using my AMD Athlon 64 X2 Dual Core Processor 6000+ (with 2 GB RAM).

mdettweiler 2008-09-06 00:13

[quote=PatrickSchmeer;141040]635*2^541112-1 is prime ‏(‎162894 digits)

Found on 2008 Sept. 5 at 08h26m UTC (noticed by me at 22h28m) using my AMD Athlon 64 X2 Dual Core Processor 6000+ (with 2 GB RAM).[/quote]
Congratulations on your first NPLB prime, which also happens to be our largest yet (that is, not counting any PrimeSearch primes found outside of "official" NPLB efforts)! :grin:

Mini-Geek 2008-09-06 11:11

[quote=PatrickSchmeer;141040]635*2^541112-1 is prime ‏(‎162894 digits)

Found on 2008 Sept. 5 at 08h26m UTC (noticed by me at 22h28m) using my AMD Athlon 64 X2 Dual Core Processor 6000+ (with 2 GB RAM).[/quote]
Congrats! May it be the first of many. :smile:

Flatlander 2008-09-07 12:59

465*2^538043-1 is confirmed prime.

Mini-Geek 2008-09-07 13:29

639*2^534159-1 is prime!

gd_barnes 2008-09-07 20:08

[quote=Flatlander;141265]465*2^538043-1 is confirmed prime.[/quote]

[quote=Mini-Geek;141271]639*2^534159-1 is prime![/quote]


Good deal. I was worried we weren't going to find any primes with the rally.

I'm estimating that we tested ~30000 k/n pairs with the rally so would have expected ~5 primes. Finding 2 is not extremely unusual but finding zero WOULD have been!

Regardless, we knocked out quite a large chunk of work. Thanks to everyone who contributed! :smile: The participation was better than I expected on such a short notice.


Gary

Brucifer 2008-09-09 20:24

375*2^536724-1 is prime!

gd_barnes 2008-09-11 07:57

I moved the discussion on the issue that we had on port 7000 to a thread called 'port 7000 issue'.

Reminder to self: No header line need be sent after the first time a server is loaded. lol

em99010pepe 2008-09-12 03:28

185*2^612412-1 is prime!

gd_barnes 2008-09-12 03:30

[quote=em99010pepe;142074]185*2^612412-1 is prime![/quote]

Yes sir! Excellent to see that first one come out on this new drive. :smile:

gd_barnes 2008-09-13 01:40

957*2^535472-1 is prime

PS: this is the 700th prime found by NPLB (new or confirmed)!!!

em99010pepe 2008-09-13 04:07

289*2^610737-1 confirmed prime

tnerual 2008-09-15 18:43

367*2^537553-1 is prime !

submitted to top 5000 [url]http://primes.utm.edu/primes/page.php?id=85517[/url]

gd_barnes 2008-09-21 02:20

After a bit of a dry spell on the 4th drive:

215*2^714542-1 is prime!

:smile:

nuggetprime 2008-09-21 07:47

Was that prime in the last 2000 lines of my reservation?:censored:

gd_barnes 2008-09-21 08:43

[quote=nuggetprime;143319]Was that prime in the last 2000 lines of my reservation?:censored:[/quote]


No, not at all. I found my prime on the server. I'm running a few cores on port 7000 and a few on manual reservations.

Edit: Here is the server page posting:
user=gd_barnes
[20/09/2008 02:05:53 PM]
215*2^714542-1 is prime! Time : 1801.0 sec.


Gary

gd_barnes 2008-09-24 19:54

265*2^763957-1 is prime! :smile:

mdettweiler 2008-09-26 17:33

271*2^786059-1 is prime! :w00t:

gd_barnes 2008-10-09 20:40

265*2^856293-1 is prime :smile:

Flatlander 2008-10-09 21:16

[quote=gd_barnes;144976]265*2^856293-1 is prime :smile:[/quote]
Congrats on a nice prime that puts you in the top 10 by primes found!

em99010pepe 2008-10-12 01:33

331*2^913201-1 is prime!

gd_barnes 2008-10-12 19:18

[quote=em99010pepe;145161]331*2^913201-1 is prime![/quote]


Now THERE is a prime! :smile: Nice one.

gd_barnes 2008-10-22 22:59

525*2^535741-1 is confirmed prime

Mini-Geek 2008-10-24 11:14

459*2^542204-1 is prime!

gd_barnes 2008-10-24 12:26

823*2^535955-1 is prime

gd_barnes 2008-10-25 09:34

555*2^536460-1 is prime

gd_barnes 2008-10-26 09:15

417*2^536876-1 is confirmed prime

em99010pepe 2008-10-27 04:24

user=Free-DC_IronBits
[26/10/2008 07:14:15 PM]
325*2^541569-1 is prime! Time : 425.0 sec.

confirmed prime

em99010pepe 2008-10-27 18:02

343*2^548383-1 confirmed prime

gd_barnes 2008-10-27 21:34

709*2^538623-1 is prime

gd_barnes 2008-10-30 10:01

Here is the first prime for k=679 for either the Riesel or Proth side since n=155K!:

679*2^539605-1 is prime :smile:

For an average weight k, it was definitely due! I know, I know, mathematically there's no such thing as 'due' but like 18 reds in a row at roulette that I actually saw this weekend, black was definitely due! (lol)


Gary

Lennart 2008-10-30 17:22

Prime
 
327*2^552901-1 Is Prime

em99010pepe 2008-10-31 01:02

user=sm5ymt
[30/10/2008 03:44:45 PM]
301*2^554825-1 is prime! Time : 1697.0 sec.

Confirmed one.

em99010pepe 2008-11-02 07:25

user=IronBits
[01/11/2008 06:33:33 PM]
315*2^564347-1 is prime! Time : 901.0 sec.
user=IronBits
[01/11/2008 07:21:16 PM]
349*2^564443-1 is prime! Time : 445.0 sec.

confirmed primes

IronBits 2008-11-02 07:44

Wow! 2 in one day for me. :smile:

henryzz 2008-11-02 13:21

[quote=IronBits;147538]Wow! 2 in one day for me. :smile:[/quote]
not just 2 in one day but 2 in one hour

is one of those pcs an amd and the other not?

IronBits 2008-11-02 17:11

Good catch! All cores are from Q6600s :wink:

henryzz 2008-11-02 18:13

why has one taken twice as long as the other then

em99010pepe 2008-11-02 18:21

[quote=henryzz;147591]why has one taken twice as long as the other then[/quote]

Probably in one the cache is set to two and on the other one to one.

IronBits 2008-11-02 21:15

Both are under CentoOS 64bit.
3 cores from the Free-DC db server and
3 cores from the Free-DC forum server :smile:
Other than that /shrugs

em99010pepe 2008-11-03 03:58

user=gd_barnes
[02/11/2008 05:31:28 PM]
301*2^566979-1 is prime! Time : 497.0 sec.

confirmed one

mdettweiler 2008-11-03 14:32

LLRnet G4000 is already cranking out some primes! :grin:

user=mdettweiler
[Mon Nov 3 04:11:55 2008]
753*2^570008-1 is prime! Time : 2443.0 sec.

gd_barnes 2008-11-05 02:10

371*2^571042-1 is prime

Flatlander 2008-11-05 22:53

331*2^575199-1
Confirmed prime.

em99010pepe 2008-11-08 02:19

349*2^598831-1 is confirmed prime!

em99010pepe 2008-11-08 20:58

user=gd_barnes
[11/08/08 06:04:29]
301*2^587635-1 is prime!

confirmed....

em99010pepe 2008-11-09 01:34

371*2^596942-1 is prime!

gd_barnes 2008-11-09 10:23

I just now sent a PM to Lennart about a new prime that he found in port 5000.

Lennart 2008-11-09 12:34

Prime
 
351*2^590579-1 is prime!

:whistle::whistle:
/Lennart

gd_barnes 2008-11-11 03:24

735*2^544725-1 is confirmed prime

There's only 1 more known prime in the next n=12K range of the 1st drive. It's smooth sailing from here! :smile:

gd_barnes 2008-11-12 23:35

453*2^545863-1 is prime

gd_barnes 2008-11-13 04:32

849*2^546031-1 is prime

MyDogBuster 2008-11-13 04:52

Someone's sizzling. Edited: I wrote this BEFORE the third one showed up.

gd_barnes 2008-11-13 05:21

[quote=MyDogBuster;149074]Someone's sizzling. Edited: I wrote this BEFORE the third one showed up.[/quote]


Naw, 2 in one day ain't sizzling but...

449*2^546076-1 is prime


NOW, I'm sizzlin'! :smile:


All I can say is that it's about time after extremely long dormant stretches on the individual-k drive and the 4th drive as well as a bit of a dry spell on this drive where there was only one confirmed prime found in 2-1/2 days.


Gary

gd_barnes 2008-11-13 09:52

717*2^546174-1 is prime

MyDogBuster 2008-11-13 22:24

561*2^546613-1 is prime

IronBits 2008-11-14 00:03

I see Mr. Barnes is hording all the primes again :wink:

Ack! This sure makes it hard to catch up quickly around here :cry:
[LIST=1][LIST=1][*]This forum requires that you wait 60 seconds between posts. Please try again in 30 seconds.[/LIST][/LIST]

Mini-Geek 2008-11-14 00:30

429*2^542500-1 is prime!

MyDogBuster 2008-11-14 08:15

425*2^550026-1 is prime (in range 550.0-550.1)

gd_barnes 2008-11-14 09:04

[quote=MyDogBuster;149266]425*2^550026-1 is prime (in range 550.0-550.1)[/quote]


Now looks who's hot! :smile:

MyDogBuster 2008-11-16 07:34

621*2^549331-1 is prime :cool:

gd_barnes 2008-11-16 18:20

923*2^549734-1 is prime


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