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-   -   POST LOTS AND LOTS AND LOTS OF PRIMES HERE (https://www.mersenneforum.org/showthread.php?t=4938)

 lsoule 2006-01-01 00:46

2022381375 273167

The 6th prime for this k.

 lsoule 2006-01-01 21:24

779602395*2^274412-1 (82616 digits)
3467560635*2^274439-1 (82624 digits) The first prime for this K in the drive

 Cruelty 2006-01-02 07:26

151515*2^261867-1 (78836 digits)

 lsoule 2006-01-04 00:11

26565*2^264851-1 (79733 digits)

 SlashDude 2006-01-04 21:08

262494705*2^287730-1
1609753035*2^293338-1
1609753035*2^296668-1
262494705*2^298772-1
262494705*2^300155-1
558796095*2^310629-1
1609753035*2^322444-1

 lsoule 2006-01-06 11:57

870667875*2^276165-1 (83143 digits)

 lsoule 2006-01-07 02:36

The 50th prime from the RPS drive:

1694614845*2^276735-1 (83315 digits)

 Cruelty 2006-01-07 16:47

151515*2^285823-1 (86047 digits)

 lsoule 2006-01-08 01:43

17295*2^217577-1 (65502 digits)
17295*2^219284-1 (66016 digits)

 lsoule 2006-01-08 16:22

26565*2^277766-1 (83621 digits)

 amphoria 2006-01-08 18:09

869688105*2^405836-1 (122178 digits)

 lsoule 2006-01-09 14:40

The 8th prime for this k in the RPS drive:

870667875*2^278560-1 (83864 digits)

 lsoule 2006-01-09 16:35

759237765*2^263768-1 (79411 digits)

 amphoria 2006-01-10 19:20

869688105*2^418774-1 (126073 digits)

 lsoule 2006-01-11 13:14

759237765*2^268641-1 (80878 digits)

 Cruelty 2006-01-12 07:23

151515*2^303419-1 (91344 digits)

 segmtfault 2006-01-12 18:14

870667875*2^280741-1 (84521 digits)

 lsoule 2006-01-13 13:55

26565*2^289274-1 (87085 digits)

 Cruelty 2006-01-13 19:21

151515*2^308258-1 (92801 digits)

 Kosmaj 2006-01-14 03:05

Cruelty

[B]151515[/B] appears to be a good one! Several primes in a row, congrats!

But I wonder what happened to 759237765*2^268641-1. More than 2 days after the submission its verification is still [URL="http://primes.utm.edu/primes/page.php?id=76739"]In Process[/URL] :question:

 Cruelty 2006-01-14 08:36

[QUOTE=Kosmaj][B]151515[/B] appears to be a good one! Several primes in a row, congrats![/quote]
Yes, I'll keep my fingers crossed :smile:
BTW: I have another "fun" ideas - 12345*2^n-1 and/or 5*3^n-1. As soon as I have some free resources I will have a look at those.
[QUOTE=Kosmaj]But I wonder what happened to 759237765*2^268641-1. More than 2 days after the submission its verification is still [URL="http://primes.utm.edu/primes/page.php?id=76739"]In Process[/URL] :question:[/QUOTE]
Strange indeed, but it is mentioned there that they are unable to verify all results now - maybe we could propose them our own team-based double checking? I am already doing proth test on all of my discovered primes anyway...

 Cruelty 2006-01-14 09:58

I've verified 759237765*2^268641-1 using proth.
[quote]Continue: Test of file "prime.txt" at line 100, k*2^n-1.
759237765 268641
759237765*2^268641 - 1 may be prime. (a = 19)
759237765*2^268641 - 1 is prime! (P = 5, Q = -1) [80878 digits]
759237765*2^268641 + 1 factor : 7
759237765*2^268642 - 1 factor : 59
759237765*2^268640 - 1 is composite. (a = 7)
Done.[/quote]

 amphoria 2006-01-14 10:48

[QUOTE=Cruelty]Strange indeed, but it is mentioned there that they are unable to verify all results now - maybe we could propose them our own team-based double checking? I am already doing proth test on all of my discovered primes anyway...[/QUOTE]

I think they mean that they can't verify all types of primes such as ones requiring the use of ECPP. There shouldn't be any problem with ours as they use LLR to verify them. I wonder if the process doing the LLR test has hung.

 lsoule 2006-01-14 20:48

663301485*2^283108-1 (85233 digits)

 lsoule 2006-01-14 23:34

1346178405*2^247896-1 (74634 digits)

 Jwb52z 2006-01-15 05:54

[QUOTE=Cruelty]I've verified 759237765*2^268641-1 using proth.
Continue: Test of file "prime.txt" at line 100, k*2^n-1.
759237765 268641
759237765*2^268641 - 1 may be prime. (a = 19)
759237765*2^268641 - 1 is prime! (P = 5, Q = -1) [80878 digits]
759237765*2^268641 + 1 factor : 7
759237765*2^268642 - 1 factor : 59
759237765*2^268640 - 1 is composite. (a = 7)
Done.
[/QUOTE]

Does this mean that the number is prime or composite? I mean, one line says it is prime for something and then another says it is composite. I need to know for sure to get the count right for the DC info site. Until I get an answer I will leave it out of the count.

 lsoule 2006-01-15 06:46

1952775825*2^221012-1

 lsoule 2006-01-15 06:49

The earlier number posted, 759237765*2^268641 - 1, is prime.
The Proth test also tested the same number+1 and other tests
for twin primes.

 lsoule 2006-01-15 22:24

17295*2^256769-1 (77300 digits)

 Kosmaj 2006-01-16 01:00

From the RPS Drive:

918332415 282017 (84905 digits)

 lsoule 2006-01-16 02:03

From the RPS drive
3467560635*2^283353-1 (85308 digits)

 grobie 2006-01-18 00:15

k=1222853775

1222853775*2^262364-1 (78989 digits) is prime

 grobie 2006-01-19 02:39

k=1222853775

1222853775*2^264388-1 (79598 digits) is prime:banana:

 lsoule 2006-01-19 21:16

26565*2^306088-1 (92147 digits)

 lsoule 2006-01-20 00:05

From the RPS drive:
1694614845*2^287699-1 (86616 digits)

 lsoule 2006-01-21 09:14

From Choose your own K and sieved by Templus
226005*2^228118-1 (68676 digits)

 lsoule 2006-01-22 17:48

32444271*2^403117-1 (121358 digits)

 SlashDude 2006-01-23 02:49

406755855*2^325509-1
262494705*2^326040-1
1756836015*2^335943-1
460292085*2^337646-1

 lsoule 2006-01-23 10:14

231*2^749301-1 (225565 digits) :banana: :banana:

This should come in around #180 on the top-5000

 grobie 2006-01-23 11:30

nice

 Kosmaj 2006-01-23 11:47

It's currently [URL="http://primes.utm.edu/primes/page.php?id=76837"]#168[/URL].

HUGE congrats! :cool:

 Cruelty 2006-01-23 12:31

Congratulations! :banana: :banana: :banana: Finally we have a "better" largest prime than 15k :banana: :banana: :banana:
The downside is: it will take me some time to beat it with my current k's... :squash:

 lsoule 2006-01-24 03:05

Thanks. Here's another biggish one::w00t:

69*2^580596-1 (174779 digits)

 lsoule 2006-01-24 17:48

212270565*2^282913-1 (85174 digits)

 amphoria 2006-01-24 20:03

869688105*2^487488-1 (146758 digits)

 Kosmaj 2006-01-25 02:59

Can I join the party? :cool:

[B]97*2^843205-1[/B] is prime! [253832 digits]

Entrance rank: 138

 lsoule 2006-01-25 05:59

Congratulations! :bounce:

 grobie 2006-01-25 10:28

Very Nice:surprised

 grobie 2006-01-26 04:00

k=1222853775

1222853775*2^272173-1 (81942 digits)

 Cruelty 2006-01-26 14:29

[QUOTE=Kosmaj][B]97*2^843205-1[/B] is prime! [253832 digits][/QUOTE]
This is quite a gap... previous prime for k=97 has been found [URL="http://primes.utm.edu/primes/page.php?id=34725"]12 years ago at n=6981[/URL] :surprised

 lsoule 2006-01-26 14:40

22932195*2^217722-1 (65549 digits)

it'll be on the list for about 3 weeks :whistle:

 amphoria 2006-01-26 19:29

5169615*2^267293-1 (80470 digits)

 lsoule 2006-01-27 14:35

From the RPS drive:
918332415*2^294041-1 (88525 digits)

 amphoria 2006-01-27 23:43

5169615*2^271290-1 (81674 digits)

 Kosmaj 2006-01-28 02:27

97*k^n-1

[QUOTE=Cruelty]This is quite a gap... previous prime for k=97 has been found [URL="http://primes.utm.edu/primes/page.php?id=34725"]12 years ago at n=6981[/URL] :surprised[/QUOTE]

Guys, thanks for your kind comments. I knew that the previous prime for k=97 was at n=6981 but had no idea that it was found 12 years ago, and as I see now, by famous Mr. Dubner! It was the only [I]k[/I] with no k*2^n-1 primes for n>10000. Special thanks are due to David Broadhurst who checked k=97 in the 200-800k range, and also to Thomas Masser (60-200k) and Tom Kuechler (16-60k). The range completion details are based on Dr. Keller's [URL="http://www.prothsearch.net/riesel2.html"]records[/URL].

 lsoule 2006-01-28 14:31

854917635*2^279210-1 (84060 digits)

 lsoule 2006-01-29 06:17

223*2^307755-1 (92646 digits)

 Kosmaj 2006-01-30 00:57

From the RPS drive:

2022381375 293727

 lsoule 2006-01-30 02:52

22932195*2^230868-1 (69506 digits)

 lsoule 2006-01-30 20:47

2904473715*2^317447-1 (95571 digits)

 Cruelty 2006-02-01 05:38

151515*2^358446-1

 lsoule 2006-02-02 00:07

14549535*2^244846-1 (73714 digits)

 lsoule 2006-02-02 12:45

From the RPS drive

1738812075*2^295976-1 (89107 digits)

 lsoule 2006-02-02 20:18

22932195*2^303832-1 (91470 digits)

 Kosmaj 2006-02-03 21:04

"My k":

445419975*2^270730-1 (81507 digits)

 lsoule 2006-02-04 15:37

22932195*2^248286-1 (74749 digits)

 lsoule 2006-02-04 21:34

2904473715*2^325274-1 (97927 digits)

 grobie 2006-02-05 00:29

Small but reportable

1222853775*2^224960-1 (67729 digits)

 Cruelty 2006-02-05 06:16

25*2^587585-1 (176883 digits)

 lsoule 2006-02-05 06:36

Nice one Cruelty!

226005*2^263957-1 (79465 digits)

 Cruelty 2006-02-05 08:00

Thanks :smile:
I'm just trying not to stay far behind you and Kosmaj :showoff:

 lsoule 2006-02-05 10:44

22932195*2^406996-1 (122526 digits)

(I have 2 machines on this - one started at 300k, the other at 400k.
Each machine found one pretty quick - 303k and this 406k. Hopefully
some of the gaps will fill in...)

 lsoule 2006-02-06 05:49

2904473715*2^327844-1 (98701 digits)

 lsoule 2006-02-07 13:05

247*2^952069-1 (286604 digits)

I started at n=400k for the low-weight k and hoped for 1 prime before

 Cruelty 2006-02-07 16:03

Great news! Who's gonna find the first 300k digits prime?

 Kosmaj 2006-02-07 19:54

[B]Larry[/B], congrats on a nice and big prime! :w00t: :cool: We are now 11th by score!

[B]Cruelty[/B]: Cruel to composites, gentle to primes! :smile:
Congrats on a nice k=25 prime!

 Cruelty 2006-02-07 21:52

Guess who's #10 :smile:
BTW: it will take me some time to find a TOP-3 RPS prime now :sad:

 lsoule 2006-02-07 22:16

Time or luck. I reserved k=247 from n=400k back at the end of December.
It's a low-weight k so one machine was able to go from n=400k-1M in less
than 2 months.

 Cruelty 2006-02-08 10:06

How deep have you sieved your ranges for k=247, and what was the average number of candidates per 100k range of "n"? I'm just trying to compare it with my k=25, where I get 3800-4000 candidates per 100k range of "n" sieved till ~2T.

 lsoule 2006-02-08 18:42

I sieved up to 700bn and only had 840 candidates per 100k. Along with
that low # of candidates per thousand is a low # of primes. The risk
of a really low-weight k like this is that you won't find *any* primes.
To find the low-weight k's for k<300, I sieved n=0-10k up to 100M.
Below is the number of candidates left, # of primes in n=0-5k, and K

[CODE]
Weight Primes K
186 7 283
185 6 269
178 7 101
176 4 29
169 6 221
146 4 251
145 8 223
130 2 239
117 3 191
116 3 127
107 5 247
53 3 253
[/CODE]

For comparison, K=25 had 582 candidates left and 21 primes. The highest
weight was K=195 with 1466 candidates and 37 primes.

 amphoria 2006-02-08 20:06

5169615*2^294163-1 (88559 digits)

 lsoule 2006-02-09 04:00

From choose your own k - the 5th reported prime for this k
22932195*2^313832-1 (94481 digits)

 Kosmaj 2006-02-10 01:22

Megabit

My first megabit prime :w00t: :cool: :banana:

[B]77*2^1467554-1[/B] (441780 digits)

After realizing that k=77 is a promising multiplier, and finding the primes at 607k (in December 2004) and 855k (in June last year) I decided to test megabit candidates working from 1M forward and from 1.5M backward. It was a time consuming "operation" but it payed off!

 grobie 2006-02-10 02:27

WTG, very nice

 Cruelty 2006-02-10 06:43

:w00t: Great prime Kosmaj! :bow:

 Kosmaj 2006-02-10 13:40

Grobie and Cruelty, thanks!

Here is one more big one :w00t: :shock:
[B]2995125705*2^891645-1[/B] (268422 digits)

This one eluded us for quite a while! And it closely matches Larry's forecast (890k) based on previous largest gap.

 lsoule 2006-02-10 14:39

Great primes Kosmaj!

This is the new largest gap. Duplicating the largest gap would have put this prime at n=891578!

 lsoule 2006-02-10 14:43

BTW, this puts our project score ahead of 15k already. Now #3 in primes
and #10 in score.

 lsoule 2006-02-10 16:02

80555475*2^281095-1 (84626 digits)

 grobie 2006-02-12 01:23

1222853775*2^249279-1 (75050 digits)

 Kosmaj 2006-02-12 05:59

This is our 200th prime!
[CODE]
[B]Riesel Prime Search [/B]
Active primes: [B]on current list: 200[/B]; rank by number 3
Total primes: ever on any list: 217
Production score: for current list 45.307 (normalized: 1165), total 45.3206; rank by score 10
Largest prime: 77*2^1467554-1 (441780 digits) via L145 on 2/9/2006 17:11:14 CDT
Most recent: 1222853775*2^249279-1 (75050 digits) via L157 on 2/11/2006 19:21:56 CDT
Entrance Rank: mean 2657.05 (minimum 45, maximum 4824)
[/CODE]
Congrats to Grobie, and everybody else who contributed. :cool:
True, we have 5 ranked 4950-5000 that will drop from Top-5000 soon, but I'm sure they will be replaced by new ones sooner! :smile:

 grobie 2006-02-12 12:28

Thanks, 200 primes since start :banana: :banana: :banana:

k=1222853775
This makes 131 primes from n=0 to 300k

All testing from 10k to 300k is complete. Sieving to 500k in progress.

 amphoria 2006-02-12 19:23

317372055*2^252736-1 (76090 digits)

 grobie 2006-02-13 22:38

k=139

139*2^224947-1 (67718 digits)

 lsoule 2006-02-14 08:52

69*2^613781-1 (184769 digits)
8331405*2^772375-1 (232515 digits)

 Cruelty 2006-02-14 11:27

:shock: nice series of big primes from you and Kosmaj! Congratulations :bow:

 Kosmaj 2006-02-14 11:42

And big primes kept on coming ... :cool:

Congrats Larry!

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