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Search: Posts Made By: paulunderwood
Forum: GPU Computing 2022-09-24, 19:02
Replies: 3
Views: 144
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: 674
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: 674
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: 674
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: 1,940
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: 1,940
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: 163,971
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: 1,940
Posted By paulunderwood
./pfgw64 -tc...

./pfgw64 -tc...
Forum: And now for something completely different 2022-09-12, 17:00
Replies: 192
Views: 17,227
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: 61,347
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: 61,347
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: 29,611
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: 17,227
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: 1,115
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: 44,501
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: 331
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: 331
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: 39,974
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: 17,227
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: 39,974
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: 39,974
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: 674
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: 674
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: 674
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...
Forum: Miscellaneous Math 2022-08-19, 04:47
Replies: 12
Views: 674
Posted By paulunderwood
A small observation: If a number n==3 mod 4 is...

A small observation: If a number n==3 mod 4 is Fermat 2-PRP then 2^(n-1)==1 mod n. If z is the multiplicative order of 2 mod n, then z divides n-1. Also (x+2^z) == x+1 mod n. Furthermore, (x+1)^(n+1)...
Showing results 1 to 25 of 1000

 
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