--- On Thu, 5/28/09, Bob Hillegas <bobhillegas@...> wrote:
> 11^(p-1) = (1+0w), maxerr=0.136734 => is Fermat 11-PRP.
> 11^(p-1)/2 :(-1+0w), maxerr=0.098267 => 2^8192 divides
> order, 1.24%
> 11^(p-1)/796619 :(-115073251261+-278157581894w),
> maxerr=0.082775 => 634601831161^8192 divides order, 48.76%
> 50.00% attained for Pocklington (contingent on maxerr=0.136734)
> Time=1557.070 => is prime.

Woo woo! Glad to see the range is still bearing fruit.

Phil

Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 1269203662322
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,1269203662322) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
  : base 1269203662322 has 2 factors.
11^((p-1)/1593238) = 655360      651264      647168      643072      638976
      634880      630784      626688      622592      618496      614400
  610304      606208      602112      598016      593920      589824
  585728      581632      577536      573440      569344      565248
  561152      557056      552960      548864      544768      540672
  536576      532480      528384      524288      520192      516096
  512000      507904      503808      499712      495616      491520
  487424      483328      479232      475136      471040      466944
  462848      458752      454656      450560      446464      442368
  438272      434176      430080      425984      421888      417792
  413696      409600      405504      401408      397312      393216
  389120      385024      380928      376832      372736      368640
  364544      360448      356352      352256      348160      344064
  339968      335872      331776      327680
    323584      319488      315392      311296      307200      303104
  299008      294912      290816      286720      282624      278528
  274432      270336      266240      262144      258048      253952
  249856      245760      241664      237568      233472      229376
  225280      221184      217088      212992      208896      204800
  200704      196608      192512      188416      184320      180224
  176128      172032      167936      163840      159744      155648
  151552      147456      143360      139264      135168      131072
  126976      122880      118784      114688      110592      106496
  102400      098304      094208      090112      086016      081920
  077824      073728      069632      065536      061440      057344
  053248      049152      045056      040960      036864      032768
  028672      024576      020480      016384      012288      008192
  004096      000000      (334186761171+-68929388605
  2w), maxerr=0.136734. not '1', good.
11^(p-1) = (1+0w), maxerr=0.136734 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.098267 => 2^8192 divides order, 1.24%
11^(p-1)/796619 :(-115073251261+-278157581894w), maxerr=0.082775 =>
634601831161^8192 divides order, 48.76%
50.00% attained for Pocklington (contingent on maxerr=0.136734)
Time=1557.070 => is prime.




--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

--- In pies_project@yahoogroups.com,
Phil Carmody <thefatphil@...> wrote:

> > Quite Evidently Delusional in other forums (fora?).
> David - drink a fine for even questioning that perfectly
> traditional (and I think predominant when the word first
> came into English) plural!

Duly drunken. Sorry for my offence, Boss.
What is even more shameful is that I now recall
that the dreadful Thatcher fell into the same trap,
when she said she would legislate about safety
in "football stadia".

David (shamed by deed and by association)

--- In pies_project@yahoogroups.com,
Phil Carmody <thefatphil@...> wrote:

> He steps over the 'politically correct' line all the time.
> This is a positive feature and is to be encouraged.

Thanks for the encouragement.

David

--- On Thu, 4/16/09, leavemsg1@... <leavemsg1@...> wrote:
> you're a little too bold for me, DB

You've not seen him in his neon green jogging pants yet!

> I'm not sure if you would accept anyone's proof...
> (really).
> I put my pants on one leg at a time, don't drink or do
> drugs, haven't
> committed a crime, ever, and knock on wood, never had a car
> accident.
> for someone who has the word 'open' in their url; you
> certainly aren't
> very... I've never been accused of being delusional; I
> work, have a nice
> family, and a nice home, car, etc.

None of which is pertinent to mathematical rigour.

> --- On Thu, 4/16/09, David Broadhurst <d.broadhurst@...>
> wrote:
>
> From: David Broadhurst <d.broadhurst@...>
> Subject: [pies_project] Re: I want others to enjoy it!
> sorry, Phil
> To: pies_project@yahoogroups.com
> Date: Thursday, April 16, 2009, 11:22 AM
>
> --- In pies_project@ yahoogroups. com,
> "leavemsg1" <leavemsg1@. ..> wrote:
>
> > sorry for posting here,
> > but it's just too good to pass up!
>
> Sorry, Bill, but you were already shown to be
> Quite Evidently Delusional in other forums (fora?).

David - drink a fine for even questioning that perfectly traditional (and I
think predominant when the word first came into English) plural! The fine should
be fitting and therefore end '-ra', so perhaps a Madeira? Any non-ironic mention
of rum will be harshly punished.

> who died and made you boss... ??? I've never heard of or
> seen any of
> your proofs or any other works for that matter!
[SNIP - frothing and ranting]

Well you're quite wrong about DB. The only reason you've not seen any of his
multitude of proofs, many quite groundbreaking, is because you've simply clicked
'delete' when encountering something you didn't understand.

> sorry, Phil, seriously... David steps over-the-line all the
> time and with-
> out regards to other people's feelings, and I had to
> address this one.

He steps over the 'politically correct' line all the time. This is a positive
feature and is to be encouraged.

Cheerio,
Phil

you're a little too bold for me, DB
I'm not sure if you would accept anyone's proof... (really).
I put my pants on one leg at a time, don't drink or do drugs, haven't
committed a crime, ever, and knock on wood, never had a car accident.
for someone who has the word 'open' in their url; you certainly aren't
very... I've never been accused of being delusional; I work, have a nice
family, and a nice home, car, etc.

--- On Thu, 4/16/09, David Broadhurst <d.broadhurst@...> wrote:

From: David Broadhurst <d.broadhurst@...>
Subject: [pies_project] Re: I want others to enjoy it! sorry, Phil
To: pies_project@yahoogroups.com
Date: Thursday, April 16, 2009, 11:22 AM

--- In pies_project@ yahoogroups. com,
"leavemsg1" <leavemsg1@. ..> wrote:

> sorry for posting here,
> but it's just too good to pass up!

Sorry, Bill, but you were already shown to be
Quite Evidently Delusional in other forums (fora?).

who died and made you boss... ??? I've never heard of or seen any of
your proofs or any other works for that matter! besides, this isn't some
pissing contest where you're the king-pisser; I say, you got nothin'

David (THE I-gotta-be-right-every-time... spammer!); did I mention rude?
you're like the Enigma machine... it would take two British gals to break
you... and discover your real purpose.

sorry, Phil, seriously... David steps over-the-line all the time and with-
out regards to other people's feelings, and I had to address this one.

--- In pies_project@yahoogroups.com,
"leavemsg1" <leavemsg1@...> wrote:

> sorry for posting here,
> but it's just too good to pass up!

Sorry, Bill, but you were already shown to be
Quite Evidently Delusional in other forums (fora?).

David (troll-watcher)

sorry for posting here, but it's just too good to pass up!

even, quasi-, & odd perfect numbers all have a great deal in common!
the convention sigma(n) = n for the even perfect numbers must stand
as I'm only concerned with the 'proper' divisors of 'n'.

they all have to pass this test, or their cover is blown!:

IS sigma(x) > (y) -2 ???, followed by some adjustment until both the

positive and negative counterparts are on opposing sides, and sigma

can be taken AGAIN on both sides; 'x' and 'y' can be different; it

doesn't matter.

three definitions...

if sigma(n) = n, then 'n' is considered to be an even perfect number
some 'evens' slip through the test as you already know...

if sigma(n^2) = n^2 +1, then 'n^2' is to be a quasi-perfect number;
n^2 has to be an odd perfect square, and 'n'>3 to see the result.

finally, if sigma(2n+1) = 2n+1, then '2n+1' is an odd perfect number
I'll show you that odd perfect numbers CAN'T exist!

watch... how the test applies to each case to achieve some results:


for evens...
if sigma(n)= n, then 'n' is considered to be an even perfect number.
some of them squeak through!

if sigma(n)= n, then sigma(n) > (n) -2 ???; adding 1 TBS & sigma AGAIN

leads to... sigma(sigma(n)+1) > sigma(n -1); which reduces to...

sigma(n +1) > sigma(n -1) by substitution of definition again.


without any hesitation, n = 5, 27, etc. pass the test, and Euler saw

their true formula; these examples can be easily exposed & verified.


for quasi's...
if sigma(n^2)= n^2 +1 for an odd 'n'>3, then 'n^2' is considered to
be a quasi-perfect number! (please excuse the early substitution...
it reads better, later).

if sigma(n^2)= n^2 +1, then sigma(n^2) > (n^2 +1) -2 ???; along with

sigma AGAIN leads to... sigma(sigma(n^2)) > sigma(n^2 -1); which re-

duces to sigma(n^2 +1) > sigma(n^2 -1) by subst. of definition again.


with some hesitation, (n^2 -1) has the form '8m' and (n^2 +1) has

the form '8m +2' for the same 'm'; clearly, sigma(n^2 -1) is more a-

bundant than sigma(n^2 +1), --- but only when an odd 'n'> 3 ---

hence, by contradiction, a quasi-perfect number cannot exist.


for odds...
if sigma(2n+1)= 2n +1 for some 'n', then '2n+1' is considered to be
an odd perfect number!  I'll show you why there aren't any...

if sigma(2n +1)= 2n +1, then sigma(2n+1) > (2n+1) -2 ???; and sigma

AGAIN leads to... sigma(sigma(2n+1)) > sigma(2n-1); which reduces to

sigma(2n +1) > sigma(2n -1) by substitution of definition again.


clearly, sigma(2n+1) is ALWAYS more abundant than sigma(2n -1) which

means that for every 'n', sigma(2n+1) = 2n+1; if you evaluate it, you

quickly realize that the original definition cannot possibly be right

for every 'n' and we have a false-positive answer! (tricky?)


hence, by contradiction, an odd perfect number CAN'T exist.


enjoy!

--- On Sun, 4/5/09, Bob Hillegas <bobhillegas@...> wrote:
>  49152_k2_750000-800000_2of2.abc
> (4925/9034 54%)  Running 22620:00 minutes
> 4887:Phi(49152,1242871618688) b=(2*1)*788312^2 (658257bits)
> res=(-1+0w) at
> bit 17. maxerr=0.119125. Time=1405.310 => is 2-SPRP.
>
> Got ONE!!

Wonderful! Congrat's, Bob!

Phil

Awesome find.  Many thanks to Phil for his prime finding software.
Although I no longer use overseis, I do use phrot extensively and am
using it in the hopes of finding another megabit prime as part of the
GCW13 mini-project over at PrimeGrid.

--Mark

On Apr 5, 2009, at 9:43 AM, Bob Hillegas wrote:

> 9152_k2_750000-800000_2of2.abc
> (4925/9034 54%) Running 22620:00 minutes
> 4887:Phi(49152,1242871618688) b=(2*1)*788312^2 (658257bits)
> res=(-1+0w) at
> bit 17. maxerr=0.119125. Time=1405.310 => is 2-SPRP.
>
> Got ONE!!
> /usr/local/bin/overseis.p4 -t -q 49152 1242871618688
> OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB
> +PC
> Phi(49152,1242871618688) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
> (size="14")
> : base 1242871618688 has 3 factors.
> 11^((p-1)/28154) = 655360 651264 647168 643072 638976
> 634880 630784 626688 622592 618496 614400
> 610304 606208 602112 598016 593920 589824
> 585728 581632 577536 573440 569344 565248
> 561152 557056 552960 548864 544768 540672
> 536576 532480 528384 524288 520192 516096
> 512000 507904 503808 499712 495616 491520
> 487424 483328 479232 475136 471040 466944
> 462848 458752 454656 450560 446464 442368
> 438272 434176 430080 425984 421888 417792
> 413696 409600 405504 401408 397312 393216
> 389120 385024 380928 376832 372736 368640
> 364544 360448 356352 352256 348160 344064
> 339968 335872 331776 327680
> 323584 319488 315392 311296 307200 303104
> 299008 294912 290816 286720 282624 278528
> 274432 270336 266240 262144 258048 253952
> 249856 245760 241664 237568 233472 229376
> 225280 221184 217088 212992 208896 204800
> 200704 196608 192512 188416 184320 180224
> 176128 172032 167936 163840 159744 155648
> 151552 147456 143360 139264 135168 131072
> 126976 122880 118784 114688 110592 106496
> 102400 098304 094208 090112 086016 081920
> 077824 073728 069632 065536 061440 057344
> 053248 049152 045056 040960 036864 032768
> 028672 024576 020480 016384 012288 008192
> 004096 000000 (-69230768229+492886883205w)
> , maxerr=0.120255. not '1', good.
> 11^(p-1) = (1+0w), maxerr=0.120255 => is Fermat 11-PRP.
> 11^(p-1)/2 :(-1+0w), maxerr=0.083603 => 128^8192 divides order, 8.71%
> 11^(p-1)/7 :(356004841550+-517771633455w), maxerr=0.078735 =>
> 2401^8192
> divides order, 13.98%
> 11^(p-1)/2011 :(-204788373302+-326014581962w), maxerr=0.073483 =>
> 4044121^8192 divides order, 27.31%
> 50.00% attained for Pocklington (contingent on maxerr=0.120255)
> Time=1868.660 => is prime.
>
> --
> BobH



[Non-text portions of this message have been removed]

49152_k2_750000-800000_2of2.abc
(4925/9034 54%)  Running 22620:00 minutes
4887:Phi(49152,1242871618688) b=(2*1)*788312^2 (658257bits) res=(-1+0w) at
bit 17. maxerr=0.119125. Time=1405.310 => is 2-SPRP.

Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 1242871618688
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,1242871618688) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
  : base 1242871618688 has 3 factors.
11^((p-1)/28154) = 655360      651264      647168      643072      638976
    634880      630784      626688      622592      618496      614400
  610304      606208      602112      598016      593920      589824
  585728      581632      577536      573440      569344      565248
  561152      557056      552960      548864      544768      540672
  536576      532480      528384      524288      520192      516096
  512000      507904      503808      499712      495616      491520
  487424      483328      479232      475136      471040      466944
  462848      458752      454656      450560      446464      442368
  438272      434176      430080      425984      421888      417792
  413696      409600      405504      401408      397312      393216
  389120      385024      380928      376832      372736      368640
  364544      360448      356352      352256      348160      344064
  339968      335872      331776      327680
  323584      319488      315392      311296      307200      303104
  299008      294912      290816      286720      282624      278528
  274432      270336      266240      262144      258048      253952
  249856      245760      241664      237568      233472      229376
  225280      221184      217088      212992      208896      204800
  200704      196608      192512      188416      184320      180224
  176128      172032      167936      163840      159744      155648
  151552      147456      143360      139264      135168      131072
  126976      122880      118784      114688      110592      106496
  102400      098304      094208      090112      086016      081920
  077824      073728      069632      065536      061440      057344
  053248      049152      045056      040960      036864      032768
  028672      024576      020480      016384      012288      008192
  004096      000000      (-69230768229+492886883205w)
  , maxerr=0.120255. not '1', good.
11^(p-1) = (1+0w), maxerr=0.120255 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.083603 => 128^8192 divides order, 8.71%
11^(p-1)/7 :(356004841550+-517771633455w), maxerr=0.078735 => 2401^8192
divides order, 13.98%
11^(p-1)/2011 :(-204788373302+-326014581962w), maxerr=0.073483 =>
4044121^8192 divides order, 27.31%
50.00% attained for Pocklington (contingent on maxerr=0.120255)
Time=1868.660 => is prime.




--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

--- On Tue, 11/11/08, Chris Caldwell <caldwell@...> wrote:
> > Got ONE!!
>
> Congratulations!

Seconded!

> I cannot even get connected :-)

Argh, lots of admin work on that machine, I keep forgetting to restart the
server. I'd better check that Paul's ECM server's also running...

Phil

> Got ONE!!


Congratulations!

I cannot even get connected :-)

    connect: Connection refused at .//maximeisclient.pl line 62.

(Hint Phil... <grin>)

Congratulations again!

CC

49152_k2_1270000-1300000_2of2.abc
(2458/5424 45%)  Running 680317:08 minutes
2447:Phi(49152,3338434976648) b=(2*1)*1291982^2 (681613bits) res=(-1+0w) at
bit 17. maxerr=0.326569. Time=1552.410 => is 2-SPRP.

Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 3338434976648
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,3338434976648) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
  : base 3338434976648 has 3 factors.
11^((p-1)/1291982) = 679936      675840      671744      667648      663552
      659456      655360      651264      647168      643072      638976
  634880      630784      626688      622592      618496      614400
  610304      606208      602112      598016      593920      589824
  585728      581632      577536      573440      569344      565248
  561152      557056      552960      548864      544768      540672
  536576      532480      528384      524288      520192      516096
  512000      507904      503808      499712      495616      491520
  487424      483328      479232      475136      471040      466944
  462848      458752      454656      450560      446464      442368
  438272      434176      430080      425984      421888      417792
  413696      409600      405504      401408      397312      393216
  389120      385024      380928      376832      372736      368640
  364544      360448      356352      352256
    348160      344064      339968      335872      331776      327680
  323584      319488      315392      311296      307200      303104
  299008      294912      290816      286720      282624      278528
  274432      270336      266240      262144      258048      253952
  249856      245760      241664      237568      233472      229376
  225280      221184      217088      212992      208896      204800
  200704      196608      192512      188416      184320      180224
  176128      172032      167936      163840      159744      155648
  151552      147456      143360      139264      135168      131072
  126976      122880      118784      114688      110592      106496
  102400      098304      094208      090112      086016      081920
  077824      073728      069632      065536      061440      057344
  053248      049152      045056      040960      036864      032768
  028672      024576      020480      016384      01
  2288      008192      004096      000000
  (276701791057+2023823063636w), maxerr=0.332062. not '1', good.
11^(p-1) = (1+0w), maxerr=0.332062 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.238190 => 8^8192 divides order, 3.61%
11^(p-1)/59 :(-1592070018399+781925553522w), maxerr=0.215927 => 3481^8192
divides order, 14.14%
11^(p-1)/10949 :(-153493197552+-1462252925038w), maxerr=0.226147 =>
119880601^8192 divides order, 32.25%
50.00% attained for Pocklington (contingent on maxerr=0.332062)
Time=1635.400 => is prime.




--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

... to start my own P.I.E.S. search ???

I have a stand alone eMachines computer w/an Intel Celeron(R) 2.
(something) GHz CPU... not superior in any way.

Also, do you help me with a pre-described search range ???

can you be specific in your description of how I should start ???

I already explored the Files section and don't have an elaborate
unzip program; I've got WinXP only.

Also, is there another version of the PFGW coming out in the near
future ???

Bill, from a planet opposing the ZOG-olites! j/k

> We aim to please. My talisman is
> NOT Phi(3, OR 1$ OR 1)^2
> at http://primes.utm.edu/primes/search.php

I like that clever search David.

Phil,

How do I overcome this error:

   connect: Connection refused at .//maximeisclient.pl line 62.

CC

--- In pies_project@yahoogroups.com, Phil Carmody
<thefatphil@...> wrote:

> Ah, glad to see the League Against Boring Primes is still active!

We aim to please. My talisman is

NOT Phi(3, OR 1$ OR 1)^2

at http://primes.utm.edu/primes/search.php

David

--- On Thu, 9/11/08, David Broadhurst <d.broadhurst@...> wrote:
> http://primes.utm.edu/primes/page.php?id=85501

Ah, glad to see the League Against Boring Primes is still active!

Phil

http://primes.utm.edu/primes/page.php?id=85501

David :-)

--- On Tue, 6/10/08, Bob Hillegas <bobhillegas@...> wrote:
> Dry hole.

> 49152_k2_1449999-1480000

1.5 expected, so nothing particularly untoward. Hopefully the next one will have
something.

Phil

Dry hole.

---------- Forwarded message ----------
From: Cron Daemon <bobhillegas@...>
Date: Mon, Jun 9, 2008 at 6:02 AM
Subject: Cron <bobh@north> /etc/cron.often/monitor_overseis.sh
To: bobhillegas@...



49152_k2_1449999-1480000
(5447/5446 100%)  No process running

49152_k2_1449999-1480000.abc has been completed. Please move to archive
directory.


Nothing new Mon Jun  9 06:02:02 CDT 2008


--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

Not me - but the dear Prof!

http://83.143.57.194:8080/res

That region has been exceptionally dry - I almost felt like pulling the plug on
it. If we don't step up to the next range up, that might well be not just our
largest PIES prime and so largest Generalised Eisenstein Prime, but also
probably largest non-Proth/Reisel-prime (I.e. one with <50% factorisation of
+/-1) ever found for quite a while. The 'supersized' ranges can't reach
anywhere near that far.

The funny thing is that I was just about to add a new service to my webserver,
and chose port 8080 to hang it off, and when I loaded up the browser, I got the
PIES range server rather than my web-server. Imagine my surprise to see a new
apple!

Of course, it's still pending a primality check (I think OversEis can now cope
with non-super candidates too, but PFGW will always cope), but it's not of the
form 2^s*3^t, so is not likely to be a PRP at all.

Phil


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--- Bob Hillegas <bobhillegas@...> wrote:
> Got ONE!!

That's 10 big ones you've got now (and a couple of 170000-digiters too) -
excellent!

Phil

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Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 3824990769800
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,3824990769800) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
  : base 3824990769800 has 4 factors.
11^((p-1)/1382930) = 684032      679936      675840      671744      667648
      663552      659456      655360      651264      647168      643072
  638976      634880      630784      626688      622592      618496
  614400      610304      606208      602112      598016      593920
  589824      585728      581632      577536      573440      569344
  565248      561152      557056      552960      548864      544768
  540672      536576      532480      528384      524288      520192
  516096      512000      507904      503808      499712      495616
  491520      487424      483328      479232      475136      471040
  466944      462848      458752      454656      450560      446464
  442368      438272      434176      430080      425984      421888
  417792      413696      409600      405504      401408      397312
  393216      389120      385024      380928      376832      372736
  368640      364544      360448      356352
    352256      348160      344064      339968      335872      331776
  327680      323584      319488      315392      311296      307200
  303104      299008      294912      290816      286720      282624
  278528      274432      270336      266240      262144      258048
  253952      249856      245760      241664      237568      233472
  229376      225280      221184      217088      212992      208896
  204800      200704      196608      192512      188416      184320
  180224      176128      172032      167936      163840      159744
  155648      151552      147456      143360      139264      135168
  131072      126976      122880      118784      114688      110592
  106496      102400      098304      094208      090112      086016
  081920      077824      073728      069632      065536      061440
  057344      053248      049152      045056      040960      036864
  032768      028672      024576      020480      01
  6384      012288      008192      004096      000000
  (-1958929182238+413228500780w), maxerr=0.375610. not '1', good.
11^(p-1) = (1+0w), maxerr=0.375610 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.262238 => 8^8192 divides order, 3.59%
11^(p-1)/5 :(-1875064143888+1262154941418w), maxerr=0.286102 => 25^8192
divides order, 5.56%
11^(p-1)/41 :(722890379782+-880058984538w), maxerr=0.286102 => 1681^8192
divides order, 12.82%
11^(p-1)/3373 :(-1556805197142+969954452030w), maxerr=0.289948 =>
11377129^8192 divides order, 28.04%
50.00% attained for Pocklington (contingent on maxerr=0.375610) Time=
2170.070 => is prime.

--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

/usr/local/bin/overseis.p4 -t -q 49152 3898771219232
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,3898771219232) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
: base 3898771219232 has 2 factors.
23^((p-1)/698102) =
684032      679936      675840      671744      667648      663552
  659456      655360      651264      647168      643072      638976
   634880      630784      626688      622592      618496      614400
    610304      606208      602112      598016      593920      589824
     585728      581632      577536      573440      569344      565248
      561152      557056      552960      548864      544768
540672      536576      532480      528384      524288      520192
  516096      512000      507904      503808      499712      495616
   491520      487424      483328      479232      475136      471040
    466944      462848      458752      454656      450560      446464
     442368      438272      434176      430080      425984      421888
      417792      413696      409600      405504      401408
397312      393216      389120      385024      380928      376832
  372736      368640      364544      360448      356352

352256      348160      344064      339968      335872      331776
  327680      323584      319488      315392      311296      307200
   303104      299008      294912      290816      286720      282624
    278528      274432      270336      266240      262144      258048
     253952      249856      245760      241664      237568      233472
      229376      225280      221184      217088      212992
208896      204800      200704      196608      192512      188416
  184320      180224      176128      172032      167936      163840
   159744      155648      151552      147456      143360      139264
    135168      131072      126976      122880      118784      114688
     110592      106496      102400      098304      094208      090112
      086016      081920      077824      073728      069632
065536      061440      057344      053248      049152      045056
  040960      036864      032768      028672      024576      020480
   016
384      012288      008192      004096      000000
(463738754191+2069174336628w),
maxerr=0.377243. not '1', good.
23^(p-1) = (1+0w), maxerr=0.377243 => is Fermat 23-PRP.
23^(p-1)/2 :(-1+0w), maxerr=0.262772 => 32^8192 divides order, 5.98%
23^(p-1)/349051 :(-835686874656+-452633443817w), maxerr=0.227821 =>
121836600601^8192 divides order, 44.02%
50.00% attained for Pocklington (contingent on maxerr=0.377243) Time=
2045.000 => is prime.



--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

At present
http://primes.utm.edu/bios/top20.php?type=project&by=PrimesRank
shows
1 Prime Internet Eisenstein Search 475 46.8968
2 PrimeGrid 474 46.6031
2 Twin Prime Search 474 45.7247
4 Riesel Prime Search 457 47.3802

--- Bob Hillegas <bobhillegas@...> wrote:
> Got ONE!!
> 50.00% attained for Pocklington (contingent on maxerr=0.403870)

Excellent! Those maxerrs are beginning to look daunting though. Still good for
a while I'm sure.

Phil

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Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 3804263911368
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,3804263911368) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
: base 3804263911368 has 4 factors.
11^((p-1)/459726) =
684032      679936      675840      671744      667648      663552
  659456      655360      651264      647168      643072      638976
   634880      630784      626688      622592      618496      614400
    610304      606208      602112      598016      593920      589824
     585728      581632      577536      573440      569344      565248
      561152      557056      552960      548864      544768
540672      536576      532480      528384      524288      520192
  516096      512000      507904      503808      499712      495616
   491520      487424      483328      479232      475136      471040
    466944      462848      458752      454656      450560      446464
     442368      438272      434176      430080      425984      421888
      417792      413696      409600      405504      401408
397312      393216      389120      385024      380928      376832
  372736      368640      364544      360448      356352

352256      348160      344064      339968      335872      331776
  327680      323584      319488      315392      311296      307200
   303104      299008      294912      290816      286720      282624
    278528      274432      270336      266240      262144      258048
     253952      249856      245760      241664      237568      233472
      229376      225280      221184      217088      212992
208896      204800      200704      196608      192512      188416
  184320      180224      176128      172032      167936      163840
   159744      155648      151552      147456      143360      139264
    135168      131072      126976      122880      118784      114688
     110592      106496      102400      098304      094208      090112
      086016      081920      077824      073728      069632
065536      061440      057344      053248      049152      045056
  040960      036864      032768      028672      024576      020480
   016
384      012288      008192      004096      000000
(-1715331837821+-659730440233w),
maxerr=0.403870. not '1', good.
11^(p-1) = (1+0w), maxerr=0.403870 => is Fermat 11-PRP.
11^(p-1)/2 :(-1+0w), maxerr=0.299652 => 8^8192 divides order, 3.59%
11^(p-1)/3 :(-1+1w), maxerr=0.273285 => 81^8192 divides order, 7.59%
11^(p-1)/193 :(-1086333654080+-1230093124255w), maxerr=0.246628 =>
37249^8192 divides order, 18.17%
11^(p-1)/397 :(1746702206112+-884573717303w), maxerr=0.261902 => 157609^8192
divides order, 20.66%
50.00% attained for Pocklington (contingent on maxerr=0.403870) Time=
1979.440 => is prime.



--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]

--- Bob Hillegas <bobhillegas@...> wrote:
> 49152_k2_1350000-1379999_2of2.abc
> (3622/5473 66%)  Running 17034:01 minutes
> 2341:Phi(49152,3757143544200) b=(2*1)*1370610^2 (684406bits) res=(-1+0w) at
> bit 17. maxerr=0.375732. Time=1445.130 => is 2-SPRP.
> 3587:Phi(49152,3775889401250) b=(2*1)*1374025^2 (684523bits) res=(-1+0w) at
> bit 20. maxerr=0.378357. Time=1424.860 => is 2-SPRP.
>
> Got ONE!!
> /usr/local/bin/overseis.p4 -t -q 49152 3775889401250
> OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
> Phi(49152,3775889401250) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
> (size="14")
> : base 3775889401250 has 5 factors.
> 29^((p-1)/549610) =(-18344630869+-885321711837w), maxerr=0.384644. not '1',
good.
> 29^(p-1) = (1+0w), maxerr=0.384644 => is Fermat 29-PRP.
> 29^(p-1)/2 :(-1+0w), maxerr=0.242218 => 2^8192 divides order, 1.20%
> 29^(p-1)/5 :(1090399771130+-465661693290w), maxerr=0.238129 => 625^8192
> divides order, 11.12%
> 29^(p-1)/17 :(1+0w), maxerr=0.233383, NOT a witness
> 29^(p-1)/53 :(-1399229505132+631249752552w), maxerr=0.240601 => 2809^8192
> divides order, 13.71%
> 29^(p-1)/61 :(1414331511612+460420466715w), maxerr=0.287384 => 3721^8192
> divides order, 14.20%
> N=(b=3775889401250)^16384-b^8192+1. F=13065361250^8192, U=289^8192. b^8192=
> F.U
> N=(U^2-1)F^2+(F-U)F+1. Discriminant=(F-U)^2-4*(U^2-1).
> Discriminant is nonsquare as it's 2 mod 13, a QNR.
> 40.22% attained for BLS (contingent on maxerr=0.384644) Time=1747.580 => is
> prime.

Excellent. It's nice to see the occasional <50% proof. Of course, it could just
try another witness, but it's much quicker to just perform the non-square test.

Phil

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49152_k2_1350000-1379999_2of2.abc
(3622/5473 66%)  Running 17034:01 minutes
2341:Phi(49152,3757143544200) b=(2*1)*1370610^2 (684406bits) res=(-1+0w) at
bit 17. maxerr=0.375732. Time=1445.130 => is 2-SPRP.
3587:Phi(49152,3775889401250) b=(2*1)*1374025^2 (684523bits) res=(-1+0w) at
bit 20. maxerr=0.378357. Time=1424.860 => is 2-SPRP.

Got ONE!!
/usr/local/bin/overseis.p4 -t -q 49152 3775889401250
OversEis version:0.92F Weighting:0.2o/c=s+r/s=r/l=sB/^2 Transform:DJB+PC
Phi(49152,3775889401250) Form Phi(2^14*3^1,b) uses 16384 type-1 limbs
(size="14")
: base 3775889401250 has 5 factors.
29^((p-1)/549610) =
684032679936675840671744667648663552659456\
6553606512646471686430726389766348806307\
84626688622592618496614400610304606208\
602112598016593920589824585728581632577536\
5734405693445652485611525570565529605488\
64544768540672536576532480528384524288\
520192516096512000507904503808499712495616\
4915204874244833284792324751364710404669\
44462848458752454656450560446464442368\
438272434176430080425984421888417792413696\
4096004055044014083973123932163891203850\
24380928376832372736368640364544360448\
356352
352256348160344064339968335872331776327680\
32358431948831539231129630720030310429\
9008294912290816286720282624278528274432\
270336266240262144258048253952249856245760\
24166423756823347222937622528022118421\
7088212992208896204800200704196608192512\
188416184320180224176128172032167936163840\
15974415564815155214745614336013926413\
5168131072126976122880118784114688110592\
106496102400098304094208090112086016081920\
07782407372806963206553606144005734405\
3248049152045056040960036864032768028672\
024576020480016
384012288008192004096000000(-18344630869+-88532171\
1837w),
maxerr=0.384644. not '1', good.
29^(p-1) = (1+0w), maxerr=0.384644 => is Fermat 29-PRP.
29^(p-1)/2 :(-1+0w), maxerr=0.242218 => 2^8192 divides order, 1.20%
29^(p-1)/5 :(1090399771130+-465661693290w), maxerr=0.238129 => 625^8192
divides order, 11.12%
29^(p-1)/17 :(1+0w), maxerr=0.233383, NOT a witness
29^(p-1)/53 :(-1399229505132+631249752552w), maxerr=0.240601 => 2809^8192
divides order, 13.71%
29^(p-1)/61 :(1414331511612+460420466715w), maxerr=0.287384 => 3721^8192
divides order, 14.20%
N=(b=3775889401250)^16384-b^8192+1. F=13065361250^8192, U=289^8192. b^8192=
F.U
N=(U^2-1)F^2+(F-U)F+1. Discriminant=(F-U)^2-4*(U^2-1).
Discriminant is nonsquare as it's 2 mod 13, a QNR.
40.22% attained for BLS (contingent on maxerr=0.384644) Time=1747.580 => is
prime.



--
BobH
bobhillegas@...


[Non-text portions of this message have been removed]