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 Showing results 1 to 25 of 318 Search took 0.05 seconds. Search: Posts Made By: carpetpool
 2020-11-17, 21:23 Replies: 8 Views: 362 Posted By carpetpool 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: 542 Posted By carpetpool 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: 862 Views: 76,126 Posted By carpetpool S223 is complete to n=30k. Primes attached. S223 is complete to n=30k. Primes attached.
 Forum: FermatSearch 2020-10-05, 04:27 Replies: 318 Sticky: New Fermat factors Views: 43,761 Posted By carpetpool 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: 458 Posted By carpetpool 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: 458 Posted By carpetpool 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: 443 Posted By carpetpool 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: 106 Views: 12,481 Posted By carpetpool 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: 106 Views: 12,481 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: 3,652 Posted By carpetpool 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: 106 Views: 12,481 Posted By carpetpool 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: 3,652 Posted By carpetpool 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: 228 Sticky: Prime-Wiki Views: 24,275 Posted By carpetpool 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: 1,552 Views: 111,672 Posted By carpetpool 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: 862 Views: 76,126 Posted By carpetpool 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: 862 Views: 76,126 Posted By carpetpool 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: 570 Posted By carpetpool 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...
 Forum: Miscellaneous Math 2020-08-31, 23:01 Replies: 10 Views: 1,309 Posted By carpetpool The thread discussion raises an interesting... The thread discussion raises an interesting problem I had in mind: For primes q and (odd) p How does one find solutions to x^q = a mod p given that p = 1 mod q^2 provided the solutions exist...
 Forum: carpetpool 2020-08-14, 04:08 Replies: 0 Views: 1,317 Posted By carpetpool Eliptic curve J-variants I am interesting in understanding the theoretical aspect of the ECPP test, and how everything works. Looking at this...
 Forum: Wagstaff PRP Search 2020-07-26, 13:08 Replies: 0 Views: 594 Posted By carpetpool Wagstaff factors Wagstaff factors currently aren't on the Top20's page and was thinking about asking Prof. Caldwell or one of his editors to consider making an archivable form (https://primes.utm.edu/top20/home.php)...
 Forum: Lounge 2020-07-17, 17:05 Replies: 56 Views: 5,613 Posted By carpetpool Not 25 yet, nor have I been involved in romantic... Not 25 yet, nor have I been involved in romantic relationships just yet. Being a mostly math/computer science/tech forum (myself included), I figured I might ask to those of you who have: How...
 Forum: Riesel Prime Search 2020-07-13, 22:48 Replies: 214 Views: 29,851 Posted By carpetpool Another lucky hit: 26*3^1700041+1 may be... Another lucky hit: 26*3^1700041+1 may be prime, but N divides 3^((N-1)/3))-1, restarting with a=5 Time : 938.494 sec. 26*3^1700041+1 is prime! (811128 decimal digits) Time : 946.942 sec.
 Forum: sweety439 2020-07-12, 18:55 Replies: 1,112 Views: 42,116 Posted By carpetpool That is incorrect. What if we only know 12.5% of... That is incorrect. What if we only know 12.5% of the factorization of n^2-1 (CHG proof), and thus, niether n+1, nor n-1 has to be trivially written as a product ? What if the factors found were...
 Forum: Riesel Prime Search 2020-07-12, 05:22 Replies: 1,955 Views: 179,851 Posted By carpetpool 273*2^2024810-1 is prime! (609531 decimal digits)... 273*2^2024810-1 is prime! (609531 decimal digits) Time : 1198.071 sec.
 Forum: Miscellaneous Math 2020-07-08, 19:21 Replies: 14 Views: 1,434 Posted By carpetpool Cunningham Chain of the second kind... Cunningham Chain of the second kind (https://primes.utm.edu/glossary/page.php?sort=CunninghamChain) OP is mentioning a special case of this (k=2, Fermat Primes), there are only finitely such...
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