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Forum: Math 2022-10-03, 13:23
Replies: 251
Views: 72,509
Posted By paulunderwood
https://arxiv.org/pdf/2209.15623.pdf has details...

https://arxiv.org/pdf/2209.15623.pdf has details of an "improved" GEC+VDF. Is it of any use to the Mersenne Prime/cofactors searches?
Forum: Software 2022-10-02, 23:42
Replies: 1
Views: 89
Posted By paulunderwood
Recently, forumite rogue had a similar problem....

Recently, forumite rogue had a similar problem. He left the Mac turned off for several hours -- overnight? -- and it was okay the next day. Who knows what is going on. Maybe the disk needs to cool...
Forum: Puzzles 2022-10-02, 11:01
Replies: 37
Views: 13,997
Posted By paulunderwood
Another way to see the sums are the same is to...

Another way to see the sums are the same is to use parentheses: (1)+(1+1)+(1+1+1)+(1+1+1+1)....
Forum: Factoring 2022-10-01, 18:40
Replies: 7
Views: 506
Posted By paulunderwood
The test of the original BPSW paper is OTT; You...

The test of the original BPSW paper is OTT; You can get away with MR plus an efficient (strong) Lucas binary chain test. See my GMP programs: https://mersenneforum.org/showthread.php?t=27660
Forum: Miscellaneous Math 2022-09-30, 05:49
Replies: 3
Views: 421
Posted By paulunderwood
Slighty quicker using the bitxor function: ...

Slighty quicker using the bitxor function:

?...
Forum: Miscellaneous Math 2022-09-29, 17:29
Replies: 3
Views: 421
Posted By paulunderwood
?...

? ll(p)={my(a=4,m=2^p-1,n=m+2,q=2*p);for(i=1,p-2,if(m%(i*q+1),a*=a;a=bitand(a,m)+a>>p;if(a>=m,a-=n,a-=2),break));!a};
?...
Forum: Lounge 2022-09-27, 13:37
Replies: 1
Views: 144
Posted By paulunderwood
The best solution I have found is a cheap VPS and...

The best solution I have found is a cheap VPS and to run that like I did for the R-Pi 3B+ but using the given static IP. I should be able to host 2 websites by using different ports pointed to by my...
Forum: Lounge 2022-09-27, 07:49
Replies: 1
Views: 144
Posted By paulunderwood
Death of Free Heroku

I have a couple of Ruby on Rails sites, one being www.worldofprimes.co.uk , hosted with Heroku for free. Ordinarily I would switch back to hosting it on my Raspberry Pi 3B+ using DDNS now that Heroku...
Forum: Soap Box 2022-09-26, 19:17
Replies: 18
Views: 1,282
Posted By paulunderwood
On top of the £150,000,000,000 -- I thought I'd...

On top of the £150,000,000,000 -- I thought I'd write the expansion as it seems more real then "bn" -- the UK government have borrowed a further £45,000,000,000 to fund tax cuts most for the rich of...
Forum: Puzzles 2022-09-25, 18:42
Replies: 37
Views: 13,997
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: 202
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: 722
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: 722
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: 722
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: 73
Views: 2,400
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: 73
Views: 2,400
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: 164,498
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: 73
Views: 2,400
Posted By paulunderwood
./pfgw64 -tc...

./pfgw64 -tc...
Forum: And now for something completely different 2022-09-12, 17:00
Replies: 192
Views: 17,753
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: 61,516
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: 61,516
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: 29,960
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: 17,753
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: 18
Views: 1,282
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: 44,683
Posted By paulunderwood
Small formfactor i7:...

Small formfactor i7: https://www.theregister.com/2022/09/08/asus_i7_sbc/ Pricey :ermm:
Showing results 1 to 25 of 1000

 
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