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 Showing results 1 to 25 of 929 Search took 0.10 seconds. Search: Posts Made By: T.Rex
 Forum: Wagstaff PRP Search 2022-08-16, 07:47 Replies: 20 Views: 9,831 Posted By T.Rex That reminds me this:... That reminds me this: https://arxiv.org/pdf/2010.02677.pdf
 Forum: Wagstaff PRP Search 2022-08-15, 14:47 Replies: 20 Views: 9,831 Posted By T.Rex Interesting. I'll have a deeper look asap. ... Interesting. I'll have a deeper look asap. Maybe you could replace all "-" signs in N by "+" signs. And give details about each of Wagstaff and Mersenne cases: computed values for small p and the...
 2022-01-15, 12:13 Replies: 6 Views: 2,700 Posted By T.Rex About Tn+1(X) = X*Tn(X) - Tn-1(X) , the Book of... About Tn+1(X) = X*Tn(X) - Tn-1(X) , the Book of HC Williams dedicated to Édouard Lucas talks about it. I'm not at home and cannot provide more information for now.
 Forum: Math 2022-01-11, 21:40 Replies: 3 Views: 2,542 Posted By T.Rex The formula for Wagstaff numbers seems OK. ... The formula for Wagstaff numbers seems OK. With Pari/gp . t(q)={w=(2^q+1)/3;S0=4;print("w: ",w);S=S0;for(i=1,q-1,S=Mod(S^2-2,w));s1=lift(Mod(S-5-9,w));s2=lift(Mod(S-5+9,w));print(s1," ",s2)} ...
 Forum: Math 2022-01-10, 11:51 Replies: 3 Views: 2,542 Posted By T.Rex Chebyshev polynomials and higher order Lucas Lehmer algorithm by Kok Seng Chu Hi, I've found this recent (2021, October 3rd) paper named "CHEBYSHEV POLYNOMIALS AND HIGHER ORDER LUCAS LEHMER ALGORITHM", by KOK SENG CHUA, based on previous work by Pedja Terzi´c, and talking...
 Forum: Math 2021-12-10, 13:16 Replies: 22 Views: 4,657 Posted By T.Rex It seems that -9/8 mod Wq ~= M(q-3) = 2^(q-3)-1 .... It seems that -9/8 mod Wq ~= M(q-3) = 2^(q-3)-1 . Moreover, 9/8 should be ok too.
 Forum: Math 2021-12-08, 11:51 Replies: 22 Views: 4,657 Posted By T.Rex There is no stupid question. What is stupid is to... There is no stupid question. What is stupid is to not ask when you don't understand. And, some years ago, I was at your place, wondering what 2/3 mod N means. I see that you got your answer. What...
 Forum: Math 2021-11-30, 22:15 Replies: 22 Views: 4,657 Posted By T.Rex Hello. I've spent some time searching for... Hello. I've spent some time searching for Universal Seeds for the LLT-like test for Wagstaff numbers. Here attached is a first set of findings. Everything has been checked for all known Wagstaff...
 Forum: Math 2021-11-27, 08:54 Replies: 22 Views: 4,657 Posted By T.Rex Good ! Thanks ! I should have checked... Good ! Thanks ! I should have checked Yesterday.
 Forum: Math 2021-11-27, 08:52 Replies: 22 Views: 4,657 Posted By T.Rex Not exactly. There are 2^x (cannot remember the... Not exactly. There are 2^x (cannot remember the exact value, x depends on q, and I'm now typing on my phone) seeds for each Mq. But there are only 3 F IXED values which can be used for all Mq. I...
 Forum: Math 2021-11-26, 22:14 Replies: 22 Views: 4,657 Posted By T.Rex Universal seeds of the LLT for Mersenne and Wagstaff numbers You probably know that there are 3 Universal Seeds for starting the LLT for Mersenne numbers: 4, 10, and 2/3. It appears that 2/3 modulo Mq = (2^q+1)/3 = Wq, a Wagstaff number. Also, you may know...
 Forum: Miscellaneous Math 2021-09-15, 04:23 Replies: 12 Views: 4,429 Posted By T.Rex Hummmm Right. My 2nd comment was stupid based... Hummmm Right. My 2nd comment was stupid based on the first one. First one seems to say that there is no rule enabling to find the next Mersenne prime based on the knowledge of previous known...
 Forum: Miscellaneous Math 2021-09-15, 03:06 Replies: 12 Views: 4,429 Posted By T.Rex I found this papier very interesting: ... I found this papier very interesting: https://faculty.math.illinois.edu/~jli135/paper/MersenneBenford.pdf First, it seems to say that Mersenne primes are random. Second, it means that looking at...
 2021-04-21, 03:00 Replies: 72 Views: 15,380 Posted By T.Rex Wowww So Big. Congratulations! Wowww So Big. Congratulations!
 Forum: Wagstaff PRP Search 2021-03-20, 18:18 Replies: 5 Views: 9,551 Posted By T.Rex Hi tetramur, I've just seen your post. I need... Hi tetramur, I've just seen your post. I need to refresh my few Maths skills before saying anything. And probably that I'll not be able to say if it is correct or not. Anyway, I'm happy to see that...
 Forum: Wagstaff PRP Search 2020-08-18, 22:15 Replies: 10 Views: 12,715 Posted By T.Rex Let's also note that the product of all s: ... Let's also note that the product of all s: for i=1 to q-2, when p==5 mod 6, equals 1 for i=1 to q-1, when p==1 mod 6, equals -1 We have a similar property when using Vbra-Reix, starting at...
 Forum: Wagstaff PRP Search 2020-08-18, 20:39 Replies: 10 Views: 12,715 Posted By T.Rex Looking at: https://oeis.org/A018844 it appears... Looking at: https://oeis.org/A018844 it appears that Wagstaff and Mersenne numbers share half the same seeds: 4, 52, 724, ... {Each seed n is such that n-2=2*(m^2) and n+2=[3or6]*(p^2) where m and p...
 Forum: Wagstaff PRP Search 2020-08-18, 18:18 Replies: 10 Views: 12,715 Posted By T.Rex This holds also when 4 is replaced by: 52, 724, ... This holds also when 4 is replaced by: 52, 724, 10084, 140452, 1956244, or 27246964 . Found by means of (Pari/gp): L = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 43, 61, 79, 101, 127, 167,...
 Forum: Wagstaff PRP Search 2019-11-22, 15:32 Replies: 6 Views: 4,882 Posted By T.Rex (New ?) Wagstaff/Mersenne related property Hi, I have no idea if this property is new. If new, I even am not sure it may be useful. Anyway. Let q prime >3 q=2p+1 and thus p=\frac{q-1}{2}. Let: N_p=2^p+1 .
 Forum: Lounge 2016-02-17, 20:49 Replies: 133 Views: 11,702 Posted By T.Rex ADDRESS VERIFIED: YES MISSING: NONE PACKAGED:... ADDRESS VERIFIED: YES MISSING: NONE PACKAGED: YES SENT: 24 MAR RECEIVED:
 Forum: Miscellaneous Math 2015-10-16, 19:02 Replies: 27 Views: 4,110 Posted By T.Rex I still think that an algorithm that produces... I still think that an algorithm that produces only 3 kinds of numbers: 1) primes 2) composite numbers like the ones here below (only 1 small divisor equal to 2b-1) 3) cases in bold (like...
 Forum: Miscellaneous Math 2015-09-11, 19:13 Replies: 27 Views: 4,110 Posted By T.Rex I'm Hobbes ! A real Tiger !! Be afraid ! And read... I'm Hobbes ! A real Tiger !! Be afraid ! And read again all Watterson's books in order to remember how dangerous I can be !! ;)
 Forum: Miscellaneous Math 2015-09-09, 20:41 Replies: 27 Views: 4,110 Posted By T.Rex Here is a modified code that shows the... Here is a modified code that shows the pseudoprimes such that N=0 mod(2*c-1) : CEk2c(k,c,g)= { a=6; h=a/2; if(c>0,s=1,s=-1;c*=-1); for(n=c<<1+1,g, N=k<
 Forum: Miscellaneous Math 2015-09-09, 13:23 Replies: 27 Views: 4,110 Posted By T.Rex Hummmmm I understand your point. However, don't... Hummmmm I understand your point. However, don't you think that there are other ways for finding new stuff than using pure Math proof ? Is there a place for experimenting ? Years ago, before...
 Forum: Miscellaneous Math 2015-09-08, 20:17 Replies: 27 Views: 4,110 Posted By T.Rex :surrender Hummm Sometimes, I'm saying myself... :surrender Hummm Sometimes, I'm saying myself that I should go back to photography and forget Maths, where I was not so good even before I forgot so many things ! :surrender Anyway, thanks for the...
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