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Search: Posts Made By: paulunderwood
Forum: Puzzles 2022-09-25, 18:42
Replies: 32
Views: 13,292
Posted By paulunderwood
Wasn't that conundrum settled by Paul Cohen. It...

Wasn't that conundrum settled by Paul Cohen. It had something to do with the ZFC axioms. The whole notion drove Cantor to the sanatorium.
Forum: GPU Computing 2022-09-24, 19:02
Replies: 3
Views: 165
Posted By paulunderwood
it might be a BIOS setting. See:...

it might be a BIOS setting. See: https://hardwarecanucks.com/video-cards/theres-a-problem-with-riser-cables/#howto
Forum: Miscellaneous Math 2022-09-24, 10:59
Replies: 12
Views: 685
Posted By paulunderwood
FWIW testing has reached 10^15 :cool:

FWIW testing has reached 10^15 :cool:
Forum: Miscellaneous Math 2022-09-23, 21:43
Replies: 12
Views: 685
Posted By paulunderwood
My logic is flawed that base 2 Fermat PRPs can...

My logic is flawed that base 2 Fermat PRPs can replace base 5 Euler PRPs. I mistakenly wrote the wrong matrix Z; It should be [3/5,-4/5;4/5,3/5] (the determinant of which is 1). No more over egging...
Forum: Miscellaneous Math 2022-09-21, 19:48
Replies: 12
Views: 685
Posted By paulunderwood
Taking the obvious case of r=1, then a Lucas test...

Taking the obvious case of r=1, then a Lucas test over y^2-4*y+5 can be transformed into a 5-Euler PRP test and a Euler-Lucas test over f(z)=z^2-6/5*z+1 (for gcd(5,n)==1). This has solutions of...
Forum: Proth Prime Search 2022-09-19, 08:40
Replies: 69
Views: 2,002
Posted By paulunderwood
Miller-Rabin is "useless" with some composites....

Miller-Rabin is "useless" with some composites. So what? Use Fermat+Lucas, and if you want to be 100% of primality use something like ECPP (if your number is general enough and not of a special form).
Forum: Proth Prime Search 2022-09-19, 08:34
Replies: 69
Views: 2,002
Posted By paulunderwood
OpenPFGW is open source. You are welcome to alter...

OpenPFGW is open source. You are welcome to alter the source to provide Miller-Rabin tests. Do it instead of starting more threads about how inadequate the program is for your needs.
Forum: Lounge 2022-09-18, 15:59
Replies: 1,714
Views: 164,029
Posted By paulunderwood
Is this the once-powerful AMD 1090T? I have a...

Is this the once-powerful AMD 1090T? I have a spare Asus board+CPU+AMD FAN+a couple DIMMs, I can post buckshee if you want it.

I hope you recover from the lurgy soon.
Forum: Proth Prime Search 2022-09-14, 04:11
Replies: 69
Views: 2,002
Posted By paulunderwood
./pfgw64 -tc...

./pfgw64 -tc...
Forum: And now for something completely different 2022-09-12, 17:00
Replies: 192
Views: 17,258
Posted By paulunderwood
All I did was make the change to N=$... and...

All I did was make the change to N=$... and rename the file to a ".out" one before uploading to factordb.
Forum: FactorDB 2022-09-10, 17:11
Replies: 186
Views: 61,356
Posted By paulunderwood
That's odd. I have a .out file with: ...

That's odd. I have a .out file with:

[Candidate]
File=/home/paul/primo/run1/M86137-cofactor.in
Expression=(2^86137-1)/2584111/7747937967916174363624460881
N=$84.....

Have you tried changing...
Forum: FactorDB 2022-09-09, 19:45
Replies: 186
Views: 61,356
Posted By paulunderwood
Shouldn't that be N=$... not N$=.... ? :ermm:

Shouldn't that be N=$... not N$=.... ? :ermm:
Forum: Computer Science & Computational Number Theory 2022-09-09, 19:39
Replies: 58
Views: 29,649
Posted By paulunderwood
Congrats to Andreas Enge for using his own ECPP...

Congrats to Andreas Enge for using his own ECPP software CM to prove tau 199^4518 (https://primes.utm.edu/primes/page.php?id=134371) at 57,125 digits :cool:

In factorDB -...
Forum: And now for something completely different 2022-09-09, 19:39
Replies: 192
Views: 17,258
Posted By paulunderwood
Congrats to Andreas Enge for using his own ECPP...

Congrats to Andreas Enge for using his own ECPP software CM to prove tau 199^4518 (https://primes.utm.edu/primes/page.php?id=134371) at 57,125 digits :cool:

In factorDB -...
Forum: Soap Box 2022-09-08, 14:30
Replies: 14
Views: 1,121
Posted By paulunderwood
£130bn is a lot to borrow for a nation + the...

£130bn is a lot to borrow for a nation + the hiked interest rates paid on it. £100k is a lot for a corrupted individual...
Forum: Hardware 2022-09-08, 12:06
Replies: 186
Views: 44,518
Posted By paulunderwood
Small formfactor i7:...

Small formfactor i7: https://www.theregister.com/2022/09/08/asus_i7_sbc/ Pricey :ermm:
Forum: Hardware 2022-09-06, 16:06
Replies: 8
Views: 339
Posted By paulunderwood
True. In the winter I run old crap to keep me...

True. In the winter I run old crap to keep me toasty.
Forum: Hardware 2022-09-06, 16:04
Replies: 8
Views: 339
Posted By paulunderwood
Using 2 DIMMS on a dual channel motherboard...

Using 2 DIMMS on a dual channel motherboard instead of 4 will save you money -- providing you don't need all the RAM.
Forum: And now for something completely different 2022-09-02, 12:11
Replies: 175
Views: 39,995
Posted By paulunderwood
After running about 1 hour per test for the first...

After running about 1 hour per test for the first 10 tests, the program terminated after 3 days.

I am now attempting the slightly larger M174533 cofactor (https://www.mersenne.ca/exponent/174533)...
Forum: And now for something completely different 2022-08-27, 11:14
Replies: 192
Views: 17,258
Posted By paulunderwood
mu_div_qr.c error message

When trying to test R86453 I get the error message:



(I think I had the same message on a previous attempt.)
Forum: And now for something completely different 2022-08-27, 11:10
Replies: 175
Views: 39,995
Posted By paulunderwood
I got an error message. Instead I am reserving...

I got an error message. Instead I am reserving the M173867 cofactor (https://www.mersenne.ca/exponent/173867) (prp52326).
Forum: And now for something completely different 2022-08-26, 07:45
Replies: 175
Views: 39,995
Posted By paulunderwood
Euler irregular E(11848)/7910215...

Euler irregular E(11848)/7910215 (https://primes.utm.edu/primes/page.php?id=134337) (40,792 digits) has been certified prime by me.

I will have another attempt at R86453 soon.
Forum: Miscellaneous Math 2022-08-20, 19:47
Replies: 12
Views: 685
Posted By paulunderwood
:redface: I forgot to add in an counting...

:redface: I forgot to add in an counting increment in my testing code. There are other cases.

I'll call it day after verification to 10^15 of the test:

n==3 mod 4
2^n==2 mod n...
Forum: Miscellaneous Math 2022-08-19, 19:23
Replies: 12
Views: 685
Posted By paulunderwood
Summarizing the two cases: n%8=3 ::...

Summarizing the two cases:

n%8=3 :: 2^((n-1)/2) == -1 mod n :: z/2 is odd :: two solutions exist: z and z/2
n%8=7 :: 2^((n-1)/2 == 1 mod n :: z is odd :: one solution exists.

Due to z being on...
Forum: Miscellaneous Math 2022-08-19, 14:18
Replies: 12
Views: 685
Posted By paulunderwood
On this theme, since n==3 mod 4 then n-1 is...

On this theme, since n==3 mod 4 then n-1 is divisible by 2 and not 4. Then the only possible strengthening is a base 2 Euler PRP. That is up to multiplicative order, there seems to be one or two...
Showing results 1 to 25 of 1000

 
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