May I ask why? That would really be a pity if you stop with Titanix. Bouk. ... __________________________________________________ Do You Yahoo!? Make...
2032
Paul Leyland
pleyland@...
Aug 1, 2001 8:10 am
... Not true in general. It is true for fermions (particles with spin (2i+1)/2) and is known as the Pauli exclusion principle. For bosons (particles with...
2033
holidaymaker17@...
Aug 1, 2001 10:00 am
I've been experimenting with MPQS, and seem to have spotted a disadvantage in the merging of partials and double-partial relations to create full relations....
2034
Aleksey D. Tetyorko
chib@...
Aug 1, 2001 11:41 am
... Hi, Kent! I took a look at your paper. As I see it there *is* function C1-->(P1, P2), but 'existence' does not mean 'fast computability'. If C1=P1*P2 and...
2035
Kent Nguyen
kent@...
Aug 1, 2001 12:27 pm
... "occupy precisely" ... can you elaborate? Why don't you use the word "occupy exactly"? ... If there is a wavefunction to describe prime number, and I...
2036
Kent Nguyen
kent@...
Aug 1, 2001 12:35 pm
... Hi Aleksey! ... If I find the wavefunction, I will use Newton's method of approximation to find out the primes. In order to use Newton's method, I need to...
2037
Paul Leyland
pleyland@...
Aug 1, 2001 1:04 pm
... precisely ... You're quibbling. If you prefer it, I'm equally happy with "occupy exactly". If you really want to get pedantic, I'd be even happier with ...
2038
scolnik
scolnik@...
Aug 1, 2001 1:25 pm
To solve a nonlinear equation is not in most cases an extremely difficult problem because besides the old reasonable Newton´s method, there are globally...
2039
Paul Leyland
pleyland@...
Aug 1, 2001 1:50 pm
... precisely ... You're quibbling. If you prefer it, I'm equally happy with "occupy exactly". If you really want to get pedantic, I'd be even happier with ...
2040
Kent Nguyen
kent@...
Aug 1, 2001 2:06 pm
... First Pauli exclusion principle states: "In a closed system, no two electrons can occupy the same state." http://theory.uwinnipeg.ca/mod_tech/node168.html ...
2041
Paul Leyland
pleyland@...
Aug 1, 2001 2:50 pm
... No it does not! Just because that web page makes that claim that doesn't mean that the PEP is as stated. The PEP states that no two fermions can occupy...
2043
Bouk de
bdewater@...
Aug 1, 2001 3:33 pm
Great news, Marcel! You keep amazing us. Looking forward to the release! Bouk. ... __________________________________________________ Do You Yahoo!? Make...
2044
Kent Nguyen
kent@...
Aug 1, 2001 3:39 pm
... You miss the point of the relation to prime number. Cracking the RSA code is a linear problem, thus a one-dimensional problem. You come and talk about the...
2045
Paul Leyland
pleyland@...
Aug 1, 2001 3:44 pm
... It's conventional to "divide" the quadratic residue by the large prime once relations have been combined in this manner. "Divide", of course, means...
2046
Jud McCranie
jud.mccranie@...
Aug 1, 2001 4:13 pm
... That's great! For a while I was worried that a program like Titanix would cease to exist. +--------------------------------------------------------+ ... ...
2047
paulunderwood@...
Aug 1, 2001 6:43 pm
Hi here my idea for a "random prime" number generator. Like Phil's random 512 bit string idea mine works like this... let x be a 128 bit binary string starting...
2048
Hans.Rosenthal@...
Aug 1, 2001 7:33 pm
... Marcel, you really gave me a shock with that announcement in your previous posting. But the announcement above simply sounds great! I'm looking forward to...
2051
d.broadhurst@...
Aug 2, 2001 3:33 am
Marcel Martin wrote ... Is this big speedup (on big numbers) attributable to larger datafiles, better math, or both? In any case, please accept my belated...
2052
Satoshi TOMABECHI
tomabeti@...
Aug 2, 2001 3:34 am
Your claim is that partials and partial-partials yield a little full relations. It is right in a sense. But experiments show that PMPQS or PPMPQS yield more...
2053
paulmillscv@...
Aug 2, 2001 11:09 am
Hello to all, Stop Press! The new proof of Fermat's Little Theorem is out today. Also a proof that FLT can be used to prove the co-primality of integers....
2054
d.broadhurst@...
Aug 2, 2001 12:33 pm
Joe Mclean wrote ... I looked only at http://members.tripod.co.uk/comms1/Keys/Bert1.pdf which is, as Joe said, patently circular. I think it is very unfair on...
2055
holidaymaker17@...
Aug 2, 2001 1:12 pm
Check out the Sophie Germain paper ... http://members.tripod.co.uk/comms1/Keys/lifchitz1.pdf where we have the "proof by Logical Resonance" of the following ...
2056
Chris Caldwell
caldwell@...
Aug 2, 2001 2:24 pm
... I very much would prefer **not** to be cited there. I appreciate being thanked, and indeed you are all thanked there (as a community). But my concern is...
2057
d.broadhurst@...
Aug 2, 2001 6:17 pm
holidaymaker17@y... wrote ... Henri has a proof for 3^p-1: http://ourworld.compuserve.com/homepages/hlifchitz/Henri/us/ThSgus.htm...
2058
paulmillscv@...
Aug 2, 2001 7:24 pm
Hello to all, I have tried to conduct myself with restraint and propriety as befits an intelligent Pink Panther interested in number theory. Not for me to...
2059
d.broadhurst@...
Aug 2, 2001 10:07 pm
Norman Luhn has posted 109267227191*2500#+10531091 1068 p41 01 Prime Quadruplet (1) 109267227191*2500#+10531093 1068 p41 01 Prime Quadruplet (2) ...
2060
Chris Caldwell
caldwell@...
Aug 2, 2001 10:27 pm
David, Didn't he recently announce he had done these with Titanix? I should have probably added Titanx to the p41 code already. Annie says that "there is...
2061
d.broadhurst@...
Aug 2, 2001 10:40 pm
Chris Caldwell wrote ... Yes, Chris, I now see that Norman indeed mentioned that he was intending to run Titanix. See ...
2062
Hans.Rosenthal@...
Aug 2, 2001 11:22 pm
Norman, You have submitted your record quadruplet to Chris Caldwell's Prime Pages using prover code p41. But you also announced that you proved the four...
2063
Milton Brown
miltbrown@...
Aug 3, 2001 3:14 am
I think that the following is an interesting pattern. (It may have been studied before, I would appreciate a reference.) 10^18+1 is divisble by 10^6+1 =...
