... Go ahead. Mine is certainly both deficient and unpublished. I aim to remedy both of those in the near future. Paul...
3055
Norman Luhn
nluhn@...
Oct 1, 2001 9:03 pm
Hi all! Perhaps,i have found a new methode to generate primes. Here is the largest example,where i found it. We get (41)! primes for this equal px=41+(x^2-x) ...
3056
Jud McCranie
jud.mccranie@...
Oct 1, 2001 9:42 pm
... These formulas have been commonly known for a long time. +---------------------------------------------------------+ ... ...
3057
d.broadhurst@...
Oct 1, 2001 9:49 pm
Yes Normam, I imagine that Euler was quite happy when he discovered that. 41 is the biggest prime p such that n^2+n+p is prime for n in [0,p-2]. Amusingly, the...
3058
d.broadhurst@...
Oct 1, 2001 10:07 pm
PS: Test you favorite 64-bit calculator with (exp(Pi*sqrt(4*41-1))-744)^(1/3)...
3059
d.broadhurst@...
Oct 2, 2001 2:44 am
If you are interested in how to prove primality of primV(10,1,13102) = (x^26204+1/x^26204)/98, x=sqrt(3)+sqrt(2) please see ...
3060
Jud McCranie
jud.mccranie@...
Oct 2, 2001 4:08 am
At 09:49 PM 10/1/2001 +0000, d.broadhurst@... wrote: Amusingly, the explanation behind this relates ... The class number problem, right? ...
3061
d.broadhurst@...
Oct 2, 2001 6:24 am
... Precisely! There is an informative note by Christian Radoux in http://www.math.niu.edu/~rusin/known-math/98/163 and Ribenboim p.200 completes the link to...
3062
Satoshi TOMABECHI
tomabeti@...
Oct 2, 2001 6:32 am
David Broadhurst wrote. ... Where are factors of N-1? ( N=R(13860) ) Or please send me "help" file. I would like to test primality. I implmented all primality...
3063
Satoshi TOMABECHI
tomabeti@...
Oct 2, 2001 6:44 am
David Broadhurst wrote. ... Where is "helper" file? Or please send me helper file. I would like to test primality. But I have only 13.5% factors of N-1 now. My...
3064
d.broadhurst@...
Oct 2, 2001 6:57 am
... I put it in http://groups.yahoo.com/group/primenumbers/files/Factors/HD13860.fac ... Just what we need, thanks. ... I bet! This simple, uncombined, KP is...
3065
gchil0@...
Oct 2, 2001 7:10 am
Hi, ... I've uploaded the factors to the files area. It can be downloaded at http://groups.yahoo.com/group/primenumbers/files/Factors/13860fac.zip Umm...looks...
3066
d.broadhurst@...
Oct 2, 2001 7:23 am
... Sorry about that. I had uploaded an old file. Have now remedied that, with your 2 gems at the top:-) ... Sorry, my file management skills are minimal. It's...
3067
gchil0@...
Oct 2, 2001 7:44 am
... OK, I'll delete mine. ... Sure. Delete the files you've uploaded and I'll upload the updated versions. Greg...
3068
d.broadhurst@...
Oct 2, 2001 8:42 am
... Sure thing, Boss! That folder is now totally Broadhurst free. Thanks for taking over! David...
3069
ylar.jyrviste@...
Oct 2, 2001 11:58 am
Hi, I need to show if a 32 bit integer is prime or not. Is it enough to prove that the number is greater than 2,odd number and divisible by 3? Or is there...
3070
Phil Carmody
fatphil@...
Oct 2, 2001 12:44 pm
... Tere Ylar, ... Think of 25... So you could add another check for divisibility by 5. Then think of 49. Hmmm, looks like you need to go a bit further... ... ...
3071
Paul Leyland
pleyland@...
Oct 2, 2001 12:48 pm
... You mean *not* divisible by 3, otherwise it certainly isn't prime. Even that's not good enough. Consider 25: odd, >2 and not divisible by 3. It's not...
3072
James Thoms
math_stuff_only@...
Oct 2, 2001 3:46 pm
May I suggest that you use strong pseudoprimes as described in http://www.utm.edu/research/primes/prove/prove2_3.html It may seem a bit more complex then the...
3073
Hadley, Thomas H (Tom...
thadley@...
Oct 2, 2001 3:56 pm
I get: (exp(Pi*sqrt(4*41-1))-744)^(1/3) = 640319.9999999999999999999999993903173522456062 Actually I did: $ bc -l scale=40 p=3.1415926535897932384626433 ...
3074
Andrey Kulsha
Andrey_601@...
Oct 2, 2001 4:28 pm
Hello! There's a prime triplet found by Norman Luhn: 5343a 81333879*6000#+10114033343 2568 c18 01 triplet (3) 5344a 81333879*6000#+10114033339 2568...
3075
Jud McCranie
jud.mccranie@...
Oct 2, 2001 5:12 pm
... IIRC, this number was mentioned in Scientific American, Mathematical Games column, April 1976 in a April Fool's hoax. It must be in one of Martin ...
3076
d.broadhurst@...
Oct 2, 2001 6:43 pm
... No, it's very much part of the theory: 744=240*3+24 where 240 comes from Rademacher and 24 (as ever) from Ramanujan. [BTW: guess why bosonic string theory...
3077
primenumbers@yahoogro...
Oct 2, 2001 7:35 pm
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the primenumbers group. File :...
3078
Andy Steward
aads@...
Oct 2, 2001 8:30 pm
Dear All, I have records from over 4,000,000 ECM trials on composites from various projects. For my prime GRU project, about 1.5M. As David said, I use RPB's...
3079
d.broadhurst@...
Oct 2, 2001 9:19 pm
Wow! There's lots of systematic thinking and analysis in your posting, Andy. Thanks! David...
3080
Phil Carmody
fatphil@...
Oct 2, 2001 9:49 pm
... Good suggestion. Ready-made source code, by Professor Caldwell, in JavaScript, can be found at ...
3081
Ignacio Larrosa Ca...
ignacio.larrosa@...
Oct 2, 2001 10:59 pm
I can send you a simple source code, in the old-fashioned TurboPascal 6.0, for Wheel factorization. It works with numbers less than 2^63 ~=9.233*10^18. For 32...
3082
Satoshi TOMABECHI
tomabeti@...
Oct 3, 2001 12:04 am
Thank you, Greg and David. My program shows that 15793939750*R(13860)/R(10)+1 is prime, however I have little confidence in this result:-) I hope that the...
3083
Satoshi TOMABECHI
tomabeti@...
Oct 3, 2001 1:50 am
... Yes, of course. Furthermore I coded modified KP with additional square tests by you. http://groups.yahoo.com/group/primeform/message/2142 But I have not...
