Added [URL="http://primes.utm.edu/primes/page.php?id=119053"]119053[/URL] : 43*648^146608-1 (412202 digits)

Lennart

[URL="http://primes.utm.edu/primes/page.php?id=119123"]3147*2^1620488-1[/URL] (=3147*2^202561-1 from R256)

Added [URL="http://primes.utm.edu/primes/page.php?id=119124"]119124[/URL] : 6213*2^1655136-1 (498250 digits)
Another k eliminated from R256 (=6213*256^206892-1).

Sorry, there was a typo.
[QUOTE=unconnected;393052][URL="http://primes.utm.edu/primes/page.php?id=119123"]3147*2^1620488-1[/URL] (=3147*[B]256[/B]^202561-1 from R256)[/QUOTE]

Added [URL="http://primes.utm.edu/primes/page.php?id=119148"]119148[/URL] : 435*2^1853363-1 (557921 digits)
==3480*256^231670-1

One more prime :smile:
Added [URL="http://primes.utm.edu/primes/page.php?id=119151"]119151[/URL] : 3945*2^1894329-1 (570254 digits)
==7890*256^236791-1

Nice run Dmitri! :bow:

R256 is now down to 25 k's remaining. :cool:

one more for vaughan

[URL="http://primes.utm.edu/primes/page.php?id=119314"]82*920^262409 - 1[/URL] (777727 digits)

base is still running in BOINC, decreased to 4k at the moment

Added [URL="http://primes.utm.edu/primes/page.php?id=119354"]119354[/URL] : 5055*2^2242777-1 (675147 digits)
== 10110*256^280347-1

Added [URL="http://primes.utm.edu/primes/page.php?id=119358"]119358[/URL] : 7913*2^2275664-1 (685048 digits)
== 7913*256^284458-1

a megaprime for vaughan

[URL="http://primes.utm.edu/primes/page.php?id=119405"]29*920^367810-1 [/URL](1090113 digits)

base is still running in BOINC, decreased to 3k

[QUOTE=rebirther;396729]a megaprime for vaughan

[URL="http://primes.utm.edu/primes/page.php?id=119405"]29*920^367810-1 [/URL](1090113 digits)

base is still running in BOINC, decreased to 3k[/QUOTE]

Congrats Vaughan! :flex:

S173
 

[URL]http://primes.utm.edu/primes/page.php?id=119526[/URL]

10*173^264234+1 is prime

[COLOR=Red]Conjecture proven[/COLOR] ck is 28

Results emailed

[QUOTE=MyDogBuster;397334][URL]http://primes.utm.edu/primes/page.php?id=119526[/URL]

10*173^264234+1 is prime

[COLOR=red]Conjecture proven[/COLOR] ck is 28

Results emailed[/QUOTE]

Great find Ian!

[QUOTE=gd_barnes;397788]Great find Ian![/QUOTE]
Indeed! Always nice to see a conjecture proven...it happens so rarely these days. :smile:

1082*117^235482+1 is prime
487024 digits

3ks remaining

Good one Kenet!

Added [URL="http://primes.utm.edu/primes/page.php?id=119644"]119644[/URL] : 7335*2^2689080-1 (809498 digits)
== 7335*256^336135-1

[URL="http://primes.utm.edu/primes/page.php?id=119690"]S458 is proven[/URL]; the residues are in the mail. This base is released. :rolleyes:

[QUOTE=Batalov;399480][URL="http://primes.utm.edu/primes/page.php?id=119690"]S458 is proven[/URL]; the residues are in the mail. This base is released. :rolleyes:[/QUOTE]

Nice find. I wish I could be so lucky with R328 or S328. Those tests right now are for numbers with more than 1.6 million digits. If I'm going to set a new record, I'm going to do so gloriously. :smile:

[QUOTE=Batalov;399480][URL="http://primes.utm.edu/primes/page.php?id=119690"]S458 is proven[/URL]; the residues are in the mail. This base is released. :rolleyes:[/QUOTE]

Nice one Serge. That was one of the lower weight 1k bases remaining so it's good to knock it out. It's also the 3rd largest prime to prove a base. :bow:

Yes, this is a rather lucky hit for such a low-weight base.

This was run in a bundle with five more S conjectures (with all candidates combined and sorted for size) - mostly for a large-scale test of the new LLR 3.8.14 + gwnum 28.6 (self-built; you can wait for Jean's official binary).
In addition, 15,000 tests of various sizes in 30 different bases b ([I]sensu[/I] CRUS, not "the base used for primality proof"), both Riesel and Sierpinski, were run and their Res64 were compared to the results previously found with LLR 3.8.14 + gwnum 28.5 (which was prone to the carry propagation bug). It is a very rare bug indeed - all residues matched.

Last but not least, [URL="http://primes.utm.edu/primes/page.php?id=118946"]this prime[/URL] was now easily confirmed [I]without[/I] any additional flags (i.e. -a3 -oFermatBase=5 for the old LLR) at this time. It was included in the 15,000-test battery (along with six other primes).

[URL="http://primes.utm.edu/primes/page.php?id=119824"]1611 * 22^738988+1 [/URL]found by Steve Hawker

1k left, Base is still running on BOINC
[URL="http://primes.utm.edu/primes/page.php?id=119824"][/URL]

[QUOTE=rebirther;401256][URL="http://primes.utm.edu/primes/page.php?id=119824"]1611 * 22^738988+1 [/URL]found by Steve Hawker

1k left, Base is still running on BOINC
[/QUOTE]

Congrats to Steve and the BOINC effort! :bow::bounce:

My first top-5000
 

[URL="http://primes.utm.edu/primes/page.php?id=119906"]14916321*2^1290575+1[/URL] is prime!
It entered the list at rank 2900.
Maybe I'll shoot for top-1000 next time.

[QUOTE][URL="http://primes.utm.edu/primes/page.php?id=119906"]14916321*2^1290575+1[/URL] is prime!
It entered the list at rank 2900.
Maybe I'll shoot for top-1000 next time. [/QUOTE]What base were you testing? Also, there is no project code in your proof code.

Please contact Dr. Caldwell at the Top5000 site and have him add the project code to your proof code.

[QUOTE=MyDogBuster;402145]What base were you testing? Also, there is no project code in your proof code.

Please contact Dr. Caldwell at the Top5000 site and have him add the project code to your proof code.[/QUOTE]
The testing was not done as part of any project.
I have e-mailed Dr Caldwell asking him to add newpgen to the credits.

Peter seems to have [URL="http://primes.utm.edu/primes/page.php?id=119929"]finished off R121[/URL] ! Congrats!!
:bounce wave::bounce wave::bounce wave:

finally!
 

I just submitted 2622*121^810960-1 (it got converted to base 11 though)Provided it passes the verification this proves R121. A few tests lower that this number are still in progress, I will post the full results when these are finished.


[URL]http://primes.utm.edu/primes/page.php?id=119929[/URL]

Congrats! that's a really good catch.

[QUOTE=Puzzle-Peter;402537]I just submitted 2622*121^810960-1 (it got converted to base 11 though)Provided it passes the verification this proves R121. A few tests lower that this number are still in progress, I will post the full results when these are finished.


[URL]http://primes.utm.edu/primes/page.php?id=119929[/URL][/QUOTE]

Outstanding! At k=3294, this is the largest conjecture ever proven on the project!

:banana::bounce::bow:

[QUOTE=Puzzle-Peter;402537]I just submitted 2622*121^810960-1 (it got converted to base 11 though)Provided it passes the verification this proves R121. A few tests lower that this number are still in progress, I will post the full results when these are finished.


[URL]http://primes.utm.edu/primes/page.php?id=119929[/URL][/QUOTE]

:bow wave:

Congratulations for really huge prime!

:groupwave:

A BIG one. Nice work Puzzle -P.:bow:

A great top40 prime. Well done.

:party:

Excellent result! :tu:

Thanks all
:smile:

[QUOTE=Puzzle-Peter;402661]Thanks all
:smile:[/QUOTE]

It's a little late, but congratulation on this propably life sustaining Top5000 MegaPrime :smile:

[URL="http://primes.utm.edu/primes/page.php?id=119944"]144052*5^2018290+1 [/URL]found by primegrid[URL="http://primes.utm.edu/primes/page.php?id=119944"]
[/URL]

[URL="http://primes.utm.edu/primes/page.php?id=119945"]5376*37^289738-1[/URL] found by Fernando Miguel
[URL="http://primes.utm.edu/primes/page.php?id=119946"]4806*37^364466-1[/URL] found by bcavnaugh

[QUOTE=rebirther;402928][URL="http://primes.utm.edu/primes/page.php?id=119945"]5376*37^289738-1[/URL] found by Fernando Miguel
[URL="http://primes.utm.edu/primes/page.php?id=119946"]4806*37^364466-1[/URL] found by bcavnaugh[/QUOTE]

Nice finds! :bow:

[URL="http://primes.utm.edu/primes/page.php?id=119952"]5903*2^2938744-1[/URL]

[QUOTE=unconnected;402993][URL="http://primes.utm.edu/primes/page.php?id=119952"]5903*2^2938744-1[/URL][/QUOTE]

Good job! :tu:

[URL="http://primes.utm.edu/primes/page.php?id=119995"]4233 * 28^331135 + 1[/URL]

Nice one Rajula!

S315
 

I may as well post my find for today. It gives us 3 nice ones in a about a day.

1390*315^101935+1 is prime but NOT Top5000

278*315^180134+1 is prime and IS Top 5000 [URL]http://primes.utm.edu/primes/page.php?id=119998[/URL]

All k's for S315 tested to 180K and continuing.

This makes S315 a 2ker

Gary: Sorry for not posting the smaller one. I was waiting until I reached n=200K but the big one showed up.

Nice ones Ian! The project is rolling today. :-)

Added [URL="http://primes.utm.edu/primes/page.php?id=120046"]120046[/URL] : 2751*2^3206569-1 (965277 digits)

This eliminates most high-weighted k=5502 from R256 search.

[URL="http://primes.utm.edu/primes/page.php?id=120095"]10243047*2^1290576+1[/URL] is prime.

[URL="http://primes.utm.edu/primes/page.php?id=120125"]6*409^369832+1[/URL] (965900 digits) found by Grey (credits goes to him)

base S409 solved

[URL="http://primes.utm.edu/primes/page.php?id=120125"][/URL]

[URL="http://primes.utm.edu/primes/page.php?id=120129"]5354*55^244064-1[/URL] (424764 digits) found by Grey (credits goes to him)

[URL="http://primes.utm.edu/primes/page.php?id=120151"]3394*28^427262 + 1[/URL]

[QUOTE][URL="http://primes.utm.edu/primes/page.php?id=120151"]3394*28^427262 + 1[/URL][/QUOTE]Nice one.S28 now becomes a 2ker.:bow:

[URL="http://primes.utm.edu/primes/page.php?id=120154"]30 · 386^225439+1[/URL] (583120 digits) finishes S386 (CK=85)
[URL="http://primes.utm.edu/primes/page.php?id=120155"]866 · 183^262883+1[/URL] (594763 digits) finishes S183 (CK=1036)

[QUOTE=Batalov;406631][URL="http://primes.utm.edu/primes/page.php?id=120154"]30 · 386^225439+1[/URL] (583120 digits) finishes S386 (CK=85)
[URL="http://primes.utm.edu/primes/page.php?id=120155"]866 · 183^262883+1[/URL] (594763 digits) finishes S183 (CK=1036)[/QUOTE]

2 lucky hits, unbelievable.

[QUOTE=rebirther;406656]2 lucky hits, unbelievable.[/QUOTE]

100+ cores make their own luck!

[QUOTE=VBCurtis;406659]100+ cores make their own luck![/QUOTE]

100+?
You mean 1000 ( at least) :smile:

[URL="http://primes.utm.edu/primes/page.php?id=120164"]73 · 416[SUP]253392[/SUP]+1[/URL] finishes S416, too.

[QUOTE=Batalov;406808][URL="http://primes.utm.edu/primes/page.php?id=120164"]73 · 416[SUP]253392[/SUP]+1[/URL] finishes S416, too.[/QUOTE]

omg, you have picked up the right ones

[QUOTE=rebirther;406809]omg, you have picked up the right ones[/QUOTE]

He must have a very good nose for bases :)
If I was picked some up , with all my luck prime will be on the other side of universe :)

[URL="http://primes.utm.edu/primes/page.php?id=120202"]139413*6^1279992+1[/URL] (996033 digits) found by Grey

R433 is [URL="http://primes.utm.edu/primes/page.php?id=120204"]no more[/URL]! :cry:

Nice!

Double nice, since another base is "gone" :)

Triple nice!
 

[URL="http://primes.utm.edu/primes/page.php?id=120205"]R152[/URL] and [URL="http://primes.utm.edu/primes/page.php?id=120209"]R177[/URL] bereft of composites shuffled their mortal coil and joined the choir invisible.

This is quite a roll Serge. NICE:showoff::showoff:

And there is still 204 1kers out there that want to join the party.

What nose for primes Batalov have :)
And until day is off he will solve few more bases :)

There were some nice finds recently, but those who ran them keep suspiciously mum.
[URL="http://primes.utm.edu/primes/page.php?id=120322"]R430 prime[/URL]
[URL="http://primes.utm.edu/primes/page.php?id=120329"]R36 prime[/URL]

[QUOTE=Batalov;409908]There were some nice finds recently, but those who ran them keep suspiciously mum.
[URL="http://primes.utm.edu/primes/page.php?id=120322"]R430 prime[/URL]
[URL="http://primes.utm.edu/primes/page.php?id=120329"]R36 prime[/URL][/QUOTE]

The R430 prime was found by Odicin (BOINC). I have 3 more primes but need to wait for an answer. I will add them soon.

[QUOTE=Batalov;409908]There were some nice finds recently, but those who ran them keep suspiciously mum.
[URL="http://primes.utm.edu/primes/page.php?id=120329"]R36 prime[/URL][/QUOTE]

My first prime this year.
I like 56093*36^321585-1 as 56093 is a prime as well.

Willem.

[URL="http://primes.utm.edu/primes/page.php?id=120341"]24153*430^160500-1[/URL] found by Mumps [MM] (422677 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120342"]31235*430^162872-1[/URL] found by Mumps [MM] (428923 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120343"]33570*430^166163-1[/URL] found by Alexis Kravtchenko (437590 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120322"]1383*430^188603-1[/URL] found by Odicin (496684 digits)

[QUOTE=rebirther;409977][URL="http://primes.utm.edu/primes/page.php?id=120341"]24153*430^160500-1[/URL] found by Mumps [MM] (422677 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120342"]31235*430^162872-1[/URL] found by Mumps [MM] (428923 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120343"]33570*430^166163-1[/URL] found by Alexis Kravtchenko (437590 digits)
[URL="http://primes.utm.edu/primes/page.php?id=120322"]1383*430^188603-1[/URL] found by Odicin (496684 digits)[/QUOTE]

An outstanding run by the BOINC folks! :banana:

[QUOTE=gd_barnes;410001]An outstanding run by the BOINC folks! :banana:[/QUOTE]

Hm, [URL="http://primes.utm.edu/bios/code.php?code=L4001"]L4001[/URL] is for all three primes, and different people found it....

[QUOTE=pepi37;410012]Hm, [URL="http://primes.utm.edu/bios/code.php?code=L4001"]L4001[/URL] is for all three primes, and different people found it....[/QUOTE]

Yes, I got no answer from these people so I have reported them.

I added one this morning:

[URL="https://primes.utm.edu/primes/page.php?id=120345"]2490 *75^209649 - 1[/URL] (393109 digits)

[URL="http://primes.utm.edu/primes/page.php?id=120432"]34910*430^221380-1[/URL] (583002 digits) found by Mumps [MM][URL="http://primes.utm.edu/primes/page.php?id=120432"]
[/URL]

After a long time without primes I'm happy to announce the BIG one.
Added [URL="http://primes.utm.edu/primes/page.php?id=120513"]120513[/URL] : 1583*2^5989282-1 (1802957 digits)

This kicks out k=6332 from R256 (1583*2^5989282-1 = 6332*748660^256-1)

Nice one Dmitry. Our second largest ever and 36th on the 5000 list. :bow wave:

[QUOTE=unconnected;414787]After a long time without primes I'm happy to announce the BIG one.
Added [URL="http://primes.utm.edu/primes/page.php?id=120513"]120513[/URL] : 1583*2^5989282-1 (1802957 digits)

This kicks out k=6332 from R256 (1583*2^5989282-1 = 6332*748660^256-1)[/QUOTE]

A huge congrats! :bounce::bow:

1520*61^287837-1 (513888 digits)
[url]http://primes.utm.edu/primes/page.php?id=120643[/url]

Nice one. Moves R61 down to 2 remaining.

[URL="http://primes.utm.edu/primes/page.php?id=120779"]81*492^399095-1[/URL] (1074352 digits) found by Mumps [MM]

This solves the base R492 :)

[QUOTE][URL="http://primes.utm.edu/primes/page.php?id=120779"]81*492^399095-1[/URL] (1074352 digits) found by Mumps [MM][/QUOTE]

Nice one. Party time. :dubslow::curtisc::grenade:

A nice Xmas prezzy for Ronny Willig :banana:

[QUOTE=paulunderwood;419857]A nice Xmas prezzy for Ronny Willig :banana:[/QUOTE]
As the agreement by the user I have reported this prime by myself ;)

Very nice! That's our first proof in a while.

[URL="http://primes.utm.edu/primes/page.php?id=120886"]24*414^391179+1[/URL] (1023717 digits) found by ardo

This find solves the base S414.
[URL="http://primes.utm.edu/primes/page.php?id=120432"] [/URL]

[QUOTE=rebirther;422250][URL="http://primes.utm.edu/primes/page.php?id=120886"]24*414^391179+1[/URL] (1023717 digits) found by ardo

This find solves the base S414.
[/QUOTE]

Congrats! :smile:

You guys are getting on a roll. Keep it up. :smile::buddy:

S 737 is proven :)
 

[URL="http://primes.utm.edu/primes/page.php?id=121003"]4 *737^269302+1 is prime[/URL] :smile: ( 772216 digits long)
And it is also Generalized Fermat at 32 position :)

[QUOTE=pepi37;425084][URL="http://primes.utm.edu/primes/page.php?id=121003"]4 *737^269302+1 is prime[/URL] :smile: ( 772216 digits long)
And it is also Generalized Fermat at 32 position :)[/QUOTE]

Are you sure about your G15 proof-code used?

[QUOTE=pinhodecarlos;425087]Are you sure about your G15 proof-code used?[/QUOTE]
Yes, why not?
I use Prime95 for processing, so it is OK to Prime95 is awarded as software :smile:
LLR is used in second stage for 100% verification.

[QUOTE=pepi37;425098]Yes, why not?
I use Prime95 for processing, so it is OK to Prime95 is awarded as software :smile:
LLR is used in second stage for 100% verification.[/QUOTE]

GIMPS wasn't involved though.

[QUOTE=lorgix;425100]GIMPS wasn't involved though.[/QUOTE]
But it was added automatically when I choose Prime 95
I will contact admin to solve my case :)

Prime95 [FONT=&quot]≠[/FONT] GIMPS. GIMPS was not used.

Also, the last parameter on the proof-string must be the proof software, which is in this case was LLR (Prime95 only does a PRP test for Proth numbers, not a proof).

:two cents:

[QUOTE=Batalov;425103]Prime95 [FONT=&quot]≠[/FONT] GIMPS. GIMPS was not used.

Also, the last parameter on the proof-string must be the proof software, which is in this case was LLR (Prime95 only does a PRP test for Proth numbers, not a proof).

:two cents:[/QUOTE]

Yes, yes, I mail to Mr Caldwell and ask him to fix it. :smile:

[QUOTE][URL="http://primes.utm.edu/primes/page.php?id=121003"]4 *737^269302+1 is prime[/URL] :smile: ( 772216 digits long)[/QUOTE]

Nice one. And a GFN too. :banana::bow: