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Search: Posts Made By: carpetpool
Forum: sweety439 2021-01-09, 21:44
Replies: 146
Views: 10,232
Posted By carpetpool
Post Here's a suggestion: Instead of constantly...

Here's a suggestion:

Instead of constantly posting search limits and reservations that can be done in minutes, use a doc or pdf instead. Attach or provide the link in a single post. If you need...
Forum: Math 2021-01-08, 03:31
Replies: 26
Views: 3,853
Posted By carpetpool
Post Déjà...

Déjà (https://www.mersenneforum.org/showpost.php?p=563216&postcount=3) vu (https://www.mersenneforum.org/showthread.php?p=563218)?
Forum: carpetpool 2021-01-03, 22:16
Replies: 1
Views: 792
Posted By carpetpool
Post The examples involving Trinomial Coefficients and...

The examples involving Trinomial Coefficients and Catalan numbers (also see here (https://en.wikipedia.org/wiki/Catalan_pseudoprime)) are examples of P-recursive sequences, which is what I am...
Forum: carpetpool 2020-12-30, 09:50
Replies: 1
Views: 792
Posted By carpetpool
Post Computation of P-Recursive Sequences in Polynomial Time

Is it possible for centered trinomial coefficients (https://mathworld.wolfram.com/CentralTrinomialCoefficient.html) to be computed in O(log n) time, analogous to how the time complexity of modular...
Forum: Riesel Prime Search 2020-12-12, 09:08
Replies: 241
Views: 40,652
Posted By carpetpool
Post Very interesting, indeed. The prime in...

Very interesting, indeed.

The prime in question does not appear to be totally random?

I have actually constructed large random provable primes before (over 100,000 digits), but none of them...
Forum: And now for something completely different 2020-12-08, 06:31
Replies: 40
Views: 15,750
Posted By carpetpool
Post You can test them with LLR, you will just need to...

You can test them with LLR, you will just need to format your candidates to a NewPGEN type header. Here is an example for n*3^n+1:

200000:P:1:3:257
32 32
34 34
54 54
76 76
114 114
128 128...
Forum: Abstract Algebra & Algebraic Number Theory 2020-12-02, 21:19
Replies: 8
Views: 3,868
Posted By carpetpool
Then write up a paper explaining your...

Then write up a paper explaining your conjectures, and provide more evidence for your claims, like I have given or some of your own research.
Forum: Abstract Algebra & Algebraic Number Theory 2020-11-30, 00:44
Replies: 8
Views: 3,868
Posted By carpetpool
Finding the expected number of primes of...

Finding the expected number of primes of (k*b^n+c)/gcd(k+c,b-1) shouldn't be much different than finding the expected number of primes of the form k*b^n+c. If we treat numbers of the form k*b^n+c as...
Forum: Five or Bust - The Dual Sierpinski Problem 2020-11-17, 21:23
Replies: 8
Views: 4,743
Posted By carpetpool
Post I would happily certify it if I had the...

I would happily certify it if I had the resources. Unfortunately for Primo (which can run about 64 concurrent tasks at a time), the time complexity for certifying N prime is at least O(ln(N)^4). I...
Forum: Miscellaneous Math 2020-11-17, 20:54
Replies: 21
Views: 1,543
Posted By carpetpool
Post There appear to be a handful of pseudoprimes...

There appear to be a handful of pseudoprimes without the BPSW requirement:

for(n=1,30000, if(n%2==1 & isprime(n)==0, for(a=1,n, if(kronecker(a^2-4,n)==(-1) & kronecker(a^4-8*a^2+12,n)==(-1) &...
Forum: Conjectures 'R Us 2020-10-12, 05:34
Replies: 895
Views: 98,888
Posted By carpetpool
Post S223 is complete to n=30k. Primes attached.

S223 is complete to n=30k. Primes attached.
Forum: FermatSearch 2020-10-05, 04:27
Replies: 335
Views: 60,348
Posted By carpetpool
Post Congrats on a World Record Fermat Divisor! ...

Congrats on a World Record Fermat Divisor!

:bounce wave:

PrimeGrid has held the record for many years up until now...

Way to go!
Forum: Software 2020-10-04, 22:39
Replies: 6
Views: 1,442
Posted By carpetpool
Post Thanks for the suggestions! I ran 4 subsequent...

Thanks for the suggestions! I ran 4 subsequent instances of LLR --- assigning affinity to CPUS 0, 2.

The time increased by about 0.120 ms which I guess makes sense given that more cores means...
Forum: Software 2020-10-03, 21:16
Replies: 6
Views: 1,442
Posted By carpetpool
Post LLR Affinity Problem

I know there's a way to run different LLR instances and have them assigned to different designated CPU, making it run significantly faster than if only one instance were used.

I am using a 4 core,...
Forum: GPU Computing 2020-10-02, 21:41
Replies: 1
Views: 1,791
Posted By carpetpool
Post LLR GPU application

Hi,


I'm wondering if the GPU LLR software found at Jean Penne's website (http://jpenne.free.fr/index2.html) is in progress or of any use.




I've installed CUDA Toolkit 11.1...
Forum: Miscellaneous Math 2020-09-20, 00:04
Replies: 118
Views: 23,755
Posted By carpetpool
Post The pseudoprimes associated with r=1 are just...

The pseudoprimes associated with r=1 are just those 2-SPRPs congruent to 3 mod 4. We need some way to avoid trivial cases. As you suggest, gcd(2^r-2,n)=1 is a good requirement. Whether my claim could...
Forum: Miscellaneous Math 2020-09-19, 08:35
Replies: 118
Views: 23,755
Posted By carpetpool
I retract my original claim (but perhaps...

I retract my original claim (but perhaps something better could be turned out of it). Here are some counterexamples I just found using specific parameters b = 2, r = 1, s = 2. Trivially,...
Forum: Miscellaneous Math 2020-09-17, 15:57
Replies: 56
Views: 8,336
Posted By carpetpool
Post We need an easy computational method to compute...

We need an easy computational method to compute b(u) (if deg(b(u)) = p, then forget it, it's practically impossible to compute ). Anyone?
Forum: Miscellaneous Math 2020-09-17, 15:28
Replies: 118
Views: 23,755
Posted By carpetpool
Post I think the 1-2^r test is better (a...

I think the 1-2^r test is better (a generalization to any arbitrary base b should hold). If there are two integers r, s, which pass this test, in particular we have (WLOG):

1 - b^r...
Forum: Miscellaneous Math 2020-09-17, 03:33
Replies: 56
Views: 8,336
Posted By carpetpool
Post I agree with CRGreathouse. Seems like a...

I agree with CRGreathouse. Seems like a pseudoprime (PRP) test. The test can be generalized to higher level matrices. With 2 x 2 matrix test:

For any integer n, if we have (gp):
...
Forum: Prime Wiki 2020-09-14, 04:19
Replies: 199
Sticky: Prime-Wiki
Views: 45,114
Posted By carpetpool
Post Williams Primes base 3

I created a page for 10*3^n+1 (https://www.rieselprime.de/ziki/Gen._Proth_prime_3_10) so that Williams PP9 (https://www.rieselprime.de/ziki/Williams_prime_PP_9) primes could be reused from there.
...
Forum: Lounge 2020-09-10, 17:27
Replies: 1,703
RIP
Views: 148,609
Posted By carpetpool
Post I'm really shook to see one of our own members on...

I'm really shook to see one of our own members on this forum pass away... :sad:

Everyone here is valuable even if we don't all know eachother.

RIP Ian
Forum: Conjectures 'R Us 2020-09-02, 19:22
Replies: 895
Views: 98,888
Posted By carpetpool
Post Yes, I plan to. There are 553 of them now, I'm...

Yes, I plan to. There are 553 of them now, I'm hoping to go as far as eliminating at least half of those.
Forum: Conjectures 'R Us 2020-09-02, 17:33
Replies: 895
Views: 98,888
Posted By carpetpool
Post Would like to please reserve S223. Not sure what...

Would like to please reserve S223. Not sure what range I want to complete yet. Will post .res files here since there are a lot of candidates to check.
Forum: Miscellaneous Math 2020-09-01, 03:16
Replies: 2
Views: 1,389
Posted By carpetpool
Post Claim: If 2^n-1 is not prime, then 2^(n-2)-1 is a...

Claim: If 2^n-1 is not prime, then 2^(n-2)-1 is a quadratic non-residue mod 2^n-1.

The claim is false, however the contrapositive is true:

If 2^n-1 is prime, then 2^(n-2)-1 is a quadratic...
Showing results 1 to 25 of 326

 
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