Ingo Buechel, Wilfred Keller, and David Broadhurst found:

2*467^126775+1 is prime

See [URL]http://primes.utm.edu/primes/page.php?id=97818[/URL].

This eliminates k=2 from S467. Only k=4 remains. CRUS had previously searched k=2 to n=100K.

[QUOTE=gd_barnes;250560]Ingo Buechel, Wilfred Keller, and David Broadhurst found:

2*467^126775+1 is prime

See [URL]http://primes.utm.edu/primes/page.php?id=97818[/URL].

This eliminates k=2 from S467. Only k=4 remains. CRUS had previously searched k=2 to n=100K.[/QUOTE]
Hmm, that's got to be one of the most ironic incidences in all of recent prime-search history: someone finds a megabit non-power-of-2 prime (back when non-power-of-2's were much slower to test, no less!) and doesn't notice it for two years! :shock:

This sounds like it would be an interesting base to try to finish off k=4 on, just because it would be kind of neat. :smile: I might take a whack at it myself. Gary, would you by chance be willing to sieve this one for n=100K-150K for me, or is your i7 fully booked with other work?

S1029
 

34*1029^106501+1 is prime.

Conjecture proven.

[QUOTE=mdettweiler;250566]Hmm, that's got to be one of the most ironic incidences in all of recent prime-search history: someone finds a megabit non-power-of-2 prime (back when non-power-of-2's were much slower to test, no less!) and doesn't notice it for two years! :shock:

This sounds like it would be an interesting base to try to finish off k=4 on, just because it would be kind of neat. :smile: I might take a whack at it myself. Gary, would you by chance be willing to sieve this one for n=100K-150K for me, or is your i7 fully booked with other work?[/QUOTE]

My I7 is booked for about 2 more weeks with Riesel-Sierp base 2 even k followed by Riesel-Sierp base 16.

[QUOTE=Mattyp101;250620]34*1029^106501+1 is prime.

Conjecture proven.[/QUOTE]

Nice prime and proof on our largest tested base Matt! :smile:

[QUOTE=gd_barnes;250622]My I7 is booked for about 2 more weeks with Riesel-Sierp base 2 even k followed by Riesel-Sierp base 16.[/QUOTE]
Ah, okay, in that case I'll leave it for someone else. :smile:

I've checked with Wilfrid Keller that the bases that they've searched (as early as in 2006 and even 1999) were only b=11 (mod 12), - for the reason that they can produce primes that "divide Phi(b^m,2)". They haven't searched S461 (k=2), so there's no duplication of effort.

S785
 

S785 tested n=50K-100K

[URL]http://primes.utm.edu/primes/page.php?id=98406[/URL]
112*785^84676+1 is prime

8*785^n+1 changes into a 1ker with a weight of 588

Results emailed - Base released

Due to several machines running subranges parallelly I found this rather unnecessary but large prime:

36*1029^91749-1 is prime!

S853
 

S853 tested n=25K-100K

[URL]http://primes.utm.edu/primes/page.php?id=99015[/URL]
42*853^91322+1 is prime

106*853^n+1 is now a 1ker with a weight of 987

Results emailed - Base released

S889
 

S889 tested n=25K-100K

174*889^38647+1 is prime

[URL]http://primes.utm.edu/primes/page.php?id=99222[/URL]
534*889^71765+1 is prime

Conjecture proven - Results emailed

A nice ck of 624 and 3 in a row, S888, S889, S890

S953
 

S953 tested n=25K-100K

[URL]http://primes.utm.edu/primes/page.php?id=99253[/URL]
14*953^97789+1 is prime

8*953^n+1 is now a 1ker with a weight of 1155

Results emailed - Base released

[URL]http://primes.utm.edu/primes/page.php?id=99282[/URL]

174*1021^121880-1 is prime!

R272
 

[URL]http://primes.utm.edu/primes/page.php?id=99279[/URL]

6*272^148426-1 is prime

Conjecture proven

Results emailed - Base released

This is our 3rd proven conjecture today.:cool:

Nice one Peter.:beer:

Vmod found:

802*148^114769+1 is prime

S148 is now a 1ker.

S998
 

S998 tested 25K-100K

[URL]http://primes.utm.edu/primes/page.php?id=99302[/URL]
8*998^81239+1 is prime

12*998^n+1 is now a 1ker with a weight of 1066

Results emailed - Base released

[FONT=Arial][SIZE=2]2*698^127558-1[/SIZE][/FONT][FONT=Arial][SIZE=2] is prime

[URL]http://primes.utm.edu/primes/page.php?id=99314[/URL][/SIZE][/FONT]

R706
 

R706 tested n=100k-200K

[URL]http://primes.utm.edu/primes/page.php?id=99317[/URL]
706^126486-1 is prime

Conjecture proven

Nice ck of 302

R566
 

[URL]http://primes.utm.edu/primes/page.php?id=99879[/URL]

7*566^164827-1 is prime (453,740 digits)

Conjecture proven - Results emailed

12*186^112717-1 is prime!

Conjecture proven.

Considering that this was one of the lightest weight Riesel conjectures, it is nice to get it off the list.

64*290^96385-1
[url]http://primes.utm.edu/primes/page.php?id=100097[/url]

S626
 

[URL]http://primes.utm.edu/primes/page.php?id=100236[/URL]
2*626^174203+1 is prime

Conjecture Proven - Results emailed

[URL="http://primes.utm.edu/primes/page.php?id=100279"]2186*7^739474-1[/URL] ... and Riesel 49 is proven.

[COLOR=wheat]Yes, I am vain enough to post this twice.[/COLOR] [ATTACH]6696[/ATTACH]

[QUOTE=Batalov;262756][URL="http://primes.utm.edu/primes/page.php?id=100279"]2186*7^739474-1[/URL] says that R49 is proven.[/QUOTE]


:bow wave:
:groupwave:
:george::george::george:


A HUGE congrats from all at CRUS for finally breaking the proven conjecture record. With CK=2414, this breaks the 3+ year old standing record of CK=1886 set by S36!! It also smashes the biggest prime found by CRUS by more than 100K digits!

Yippee!!

[QUOTE][URL="http://primes.utm.edu/primes/page.php?id=100279"]2186*7^739474-1[/URL] ... and Riesel 49 is proven. [/QUOTE]

Nice one Serge. :toot::showoff:

[QUOTE=MyDogBuster;262604][URL]http://primes.utm.edu/primes/page.php?id=100236[/URL]
2*626^174203+1 is prime

Conjecture Proven - Results emailed[/QUOTE]

I should have offered a hearty congrats to Ian at the time for this prime. So...congrats Ian! At the time, this was the 2nd largest prime ever found by CRUS and only ~10K digits smaller than the prime to prove S23, also found by Ian. Not only that, it also gave him CRUS's 3 largest primes.

:george::george:

[QUOTE=Batalov;262757][URL="http://primes.utm.edu/primes/page.php?id=100279"]2186*7^739474-1[/URL] ... and Riesel 49 is proven.[/QUOTE]
Indeed, congratulations! :toot: This is a very prime day for CRUS...new prime size and CK records, plus a long-overdue prime over on the PRPnet base 2 drive!

Thank you guys, and my belated congrats to Ian!

The competition is tough as ever; while "InProcess" for a mere few hours the R49 number already slid from entrance position 87 to ...88. Sheesh!

R30
 

[URL]http://primes.utm.edu/primes/page.php?id=100280[/URL]
774*30^148344-1 is prime

[URL]http://primes.utm.edu/primes/page.php?id=100302[/URL]
3256*30^160619-1 is prime

[URL]http://primes.utm.edu/primes/page.php?id=100447[/URL]
249*30^199355-1 is prime

I turn my back for five minutes and everyone starts finding stuff!

Congratulations to all. :smile:

R362
 

[URL]http://primes.utm.edu/primes/page.php?id=100683[/URL]
7*362^146341-1 is prime

Conjecture proven - Results emailed

S12
 

[URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA

[QUOTE=MyDogBuster;265765][URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA[/QUOTE]

Wow!!! Congrats.

Next we need to find a prime for S10 or R10...

[QUOTE=MyDogBuster;265765][URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA[/QUOTE]

HOLY COW! A huge congrats!!

Not only our largest prime...BY FAR our largest prime!

:party:
:bounce wave:
:george::george::george:

Edit: Items of interest: Although not a record, this does make 4 consecutive bases proven for Sierp bases 11 thru 14. The following TIES a record: Only 2 total k's remaining for 7 consecutive bases Sierp 8 thru 14. Only bases 9 and 10 have one k each remaining. This is tied with the same bases on the Riesel side. There, only base 10 has 2 k's remaining; all of the other bases are proven.

[QUOTE=MyDogBuster;265765][URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA[/QUOTE]
Hats off to (Roy Harper) Ian!

[QUOTE=MyDogBuster;265765][URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA[/QUOTE]
WOW! :shock: That's a big one for sure. Congratulations!

It's always nice to see another base <32 fall...since the early days of the project, there has been very little "low hanging fruit" left in that range. As such, any proof of a base <32 is a major accomplishment. :smile:

[QUOTE=MyDogBuster;265765][URL]http://primes.utm.edu/primes/page.php?id=100697[/URL]
404*12^714558+1 is prime

A true monster - 771141 digits - Enters at 57th on the Top5000 and we moved to 8th by score by project

Conjecture proven - Results emailed

ck of 521

Been working on this one for 21 months - YEA[/QUOTE]

Good one, congrats! :tu:

85287*2^1890011+1 is Prime.


That was a hard one :smile:

Lennart

[QUOTE=Lennart;265823]85287*2^1890011+1 is Prime.


That was a hard one :smile:

Lennart[/QUOTE]

:george::george::george:

Congrats on yet another huge prime! Once again, the big ones are coming in clumps. Now we just need a 3rd one to make it like a month ago. :smile:

139*666^178851-1 is prime! (504984 digits)

[URL]http://primes.utm.edu/primes/page.php?id=101882[/URL]

Every monday should be like today!
 

[FONT=Arial][SIZE=3]907*366^124278-1[/SIZE][/FONT][FONT=Arial][SIZE=3]
[/SIZE][/FONT][FONT=Arial][SIZE=3]43902*31^251859-1[/SIZE][/FONT][FONT=&quot][FONT=Arial][SIZE=3]
are prime!
[/SIZE][/FONT]
[/FONT]

Nice pair Peter! :smile::wacky:

Next please
 

1110*366^154149-1 is prime!

You are one lucky bustard. ;-)
[ATTACH]7273[/ATTACH]
Congratulations!

Great run Peter! Do you have a search limit on the remaining k's?

I'm waiting for a few subranges to finish that are running on slower machines. It will probably take until next week, then I can report results for all k's up to n=150k.

That's what we like, primes in bunches. Congrats Willem and Peter.
:max:

S341
 

S341 tested n=100K-200K

[URL]http://primes.utm.edu/primes/page.php?id=103427[/URL]
10*341^106008+1 is prime

Conjecture proven - ck of 20

729*366^183817-1 (471215 digits) is prime!

Nice one Peter!

S208
 

S208 tested n=100K-200K

[URL]http://primes.utm.edu/primes/page.php?id=103799[/URL]
88*208^130796+1 is prime

Results emailed - Base released

Conjecture proven - nice ck of 158

[URL="http://primes.utm.edu/primes/page.php?id=103526"]http://primes.utm.edu/primes/page.php?id=103526[/URL]
5142*256^96403-1 is prime (2571*2^771225-1)

[URL="http://primes.utm.edu/primes/page.php?id=103641"]http://primes.utm.edu/primes/page.php?id=103641[/URL]
6497*256^102104-1 is prime (6497*2^816832-1)

[URL="http://primes.utm.edu/primes/page.php?id=103671"]http://primes.utm.edu/primes/page.php?id=103671[/URL]
9618*256^103168-1 is prime (4809*2^825345-1)

[URL="http://primes.utm.edu/primes/page.php?id=103846"]http://primes.utm.edu/primes/page.php?id=103846[/URL]
8250*256^115971-1 is prime (4125*2^927337-1)

[URL="http://primes.utm.edu/primes/page.php?id=103858"]http://primes.utm.edu/primes/page.php?id=103858[/URL]
7373*256^117071-1 is prime (7373*2^936568-1)

Nice run Ian! :smile:

R353
 

[URL]http://primes.utm.edu/primes/page.php?id=105831[/URL]

52*353^129583-1 is prime

Conjecture proven

ck = 58

My first...
[URL]http://primes.utm.edu/primes/page.php?id=106235[/URL]
141*468^89405-1 is prime
R468 is now a 4-ker

[QUOTE=firejuggler;296184]My first...
[URL]http://primes.utm.edu/primes/page.php?id=106235[/URL]
141*468^89405-1 is prime
R468 is now a 4-ker[/QUOTE]

Hi firejuggler,

Nice find!

You didn't include CRUS in your proof code. Can you contact Prof. Caldwell at the top-5000 site and have him add it to your proof code?


Thanks,
Gary

mail sent and answered, change done, will come up in 30 min.

1983*366^271591-1 is prime! (696222 digits)
This removed 47% of all candidates from the sieve file. R366 is now a 2ker.

[URL]http://primes.utm.edu/primes/page.php?id=106340[/URL]

[QUOTE] 1983*366^271591-1 is prime! (696222 digits)[/QUOTE]

Nice one. Almost Top 100.:beer:

[QUOTE=Puzzle-Peter;296528]1983*366^271591-1 is prime! (696222 digits)
This removed 47% of all candidates from the sieve file. R366 is now a 2ker.

[URL]http://primes.utm.edu/primes/page.php?id=106340[/URL][/QUOTE]

Nice! :smile: This is CRUS's 2nd largest prime behind Ian's S12 monstrosity.

[FONT=Verdana][SIZE=2]Just submitted another one: [FONT=&quot]126072*31[/FONT][FONT=&quot]^[/FONT][FONT=&quot]374323-1 (558257 digits)[/FONT]

[url]http://primes.utm.edu/primes/page.php?id=106529[/url][/SIZE][/FONT]

Congrats on another huge prime Peter! :smile:

S405
 

[URL]http://primes.utm.edu/primes/page.php?id=106781[/URL]

106*405^120952+1 is prime

Conjecture proven - ck= 146

Results emailed

Unconnected recently found 2 nice top-5000 primes:

25*800^124713-1 is prime
26*800^162819+1 is prime

The Riesel prime dropped R800 to 1 k remaining.
The Sierp prime dropped S800 to 2 k's remaining.

Congrats Dmitri! :smile:

[COLOR=red]10107*6^559967+1 is Prime


Lennart
[/COLOR]

[QUOTE=Lennart;318853][COLOR=red]10107*6^559967+1 is Prime[/COLOR]


[COLOR=red]Lennart[/COLOR]
[/QUOTE]

Nice find Lennart! ...on the lowest k remaining for S6. :smile:

11441*60^180105+1

[URL]http://primes.utm.edu/primes/page.php?id=110141[/URL]

32*26^318071+1 is prime

S26 now has 2k's left - continuing

Nice one Ian. It's always good to get a large prime on one of the lower bases.

S941
 

[URL]http://primes.utm.edu/primes/page.php?id=110142[/URL]

26*941^127533+1 is prime

ck=158

Conjecture proven:beer:

Yo! It's been a long time! Congratz!

Way to go Ian. I concur, we've been long overdue for a proof around here.

S731
 

[URL]http://primes.utm.edu/primes/page.php?id=110364[/URL]

28*731^138318+1 is prime

Conjecture proven - we're on a roll now

ck = 62

[QUOTE=MyDogBuster;321133][URL]http://primes.utm.edu/primes/page.php?id=110364[/URL]

28*731^138318+1 is prime

Conjecture proven - we're on a roll now

ck = 62[/QUOTE]

Yeehaw! Way to go Ian. :smile:

S501
 

[URL]http://primes.utm.edu/primes/page.php?id=110374[/URL]

192*501^116124+1 is prime

Conjecture proven :tu:

ck=278 - I'm definitely scalding hot:nuke:

Wow, making up for lost time on that barren stretch of 1kers for bases in the 400s. :smile:

Nice run Ian, keep 'em coming!

Added [URL="http://primes.utm.edu/primes/page.php?id=110513"]110513[/URL] : 88*444^122491+1 (324283 digits)
Added [URL="http://primes.utm.edu/primes/page.php?id=110514"]110514[/URL] : 83*500^145465+1 (392608 digits)

S939
 

[URL]http://primes.utm.edu/primes/page.php?id=110539[/URL]

30*939^137000+1 is prime

Conjecture proven

ck=46

Results emailed

Congratulations! That's how 2013 should be all year long...

[URL]http://primes.utm.edu/primes/page.php?id=110721[/URL]

4233*22^304046+1 is prime

S22 is now a 3ker - continuing with remaining 3

S22
 

[URL]http://primes.utm.edu/primes/page.php?id=111100[/URL]

1908*22^355313+1 is prime

S22 is now a 2ker - all k's tested to n=355K - continuing

Congrats Ian! :smile:

S934
 

[URL]http://primes.utm.edu/primes/page.php?id=111480[/URL]

4*934^101403+1 is prime

Conjecture proven - Results emailed - ck=16

[QUOTE=MyDogBuster;331825][URL]http://primes.utm.edu/primes/page.php?id=111480[/URL]

4*934^101403+1 is prime

Conjecture proven - Results emailed - ck=16[/QUOTE]

All that time wasted sieving...

Congrats!

[QUOTE]All that time wasted sieving...[/QUOTE]Sometimes your the bug, sometimes your the windshield :max:

[QUOTE=MyDogBuster;331825][URL]http://primes.utm.edu/primes/page.php?id=111480[/URL]

4*934^101403+1 is prime

Conjecture proven - Results emailed - ck=16[/QUOTE]

Well done!

174*783^98120-1 (283939 digits)

I moved the discussion about the rapidly rising size of the 5000th place prime to a new separate thread [URL="http://www.mersenneforum.org/showthread.php?t=18039"]here[/URL].

R724
 

[URL]http://primes.utm.edu/primes/page.php?id=113877[/URL]

48*724^106132-1 is prime

Conjecture proven - ck=59

[QUOTE=MyDogBuster;337095][URL]http://primes.utm.edu/primes/page.php?id=113877[/URL]

48*724^106132-1 is prime

Conjecture proven - ck=59[/QUOTE]

Just outside of the Top 10 in decimal length of proven Riesel conjectures, but knocks off one of the heavier Riesel single k conjectures.

If I weren't so busy with R151, I would tackle a few of those single k conjectures.

S748
 

[URL]http://primes.utm.edu/primes/page.php?id=114450[/URL]

90*748^116015+1 is prime

Results emailed

Conjecture Proven - ck=106

:party: My slump is over

[QUOTE=MyDogBuster;343910]
90*748^116015+1 is prime

[/QUOTE]

Well done! I wanna be next, there's been enough of a dry spell if you ask me...

7019*10^881309-1 (881313 digits)

[QUOTE]7019*10^881309-1 (881313 digits) [/QUOTE]Nice one Borys - 93 on the big list

CRUS's largest to date:bow: and R10 is now a 1ker

Thanks, still one remaining for R10 and another one for S10 :boxer:

Good one! Stamina pays off in the long run...