We apparently have a winner - the eminent Chris Caldwell of UTM. His opus delectus - a hideously beautiful ten page polynomial - is a masterwork of grace and...
19400
Mark Underwood
marku606
Jun 2, 2008 3:53 am
... Aldrich, I have to say that your description of Prof. Caldwell's solution - "opus delectus" and "hideously beautiful" - had me laughing. Helped to cheer...
19401
Chris Caldwell
primemogul
Jun 2, 2008 4:42 am
... I put a quick draft of the usual explanation at http://primes.utm.edu/gifs/Legendre.pdf Nothing new or original. CC...
19402
aldrich617
Jun 3, 2008 12:36 am
This chain is based on an equation I believe I saw here at the Prime Numbers website last year. 213589,247889,171329,201973,135089,162359,104323,128489,78509, ...
19403
Dirk Augustin
trex400
Jun 3, 2008 6:00 pm
... Wow, very impressive. Congratulations, Jarek, for setting a new mark by discovering the first CC17 ever! I will update the CC record list as soon as...
19404
aldrich617
Jun 4, 2008 4:20 pm
This is a Prime Chain of 147 terms consisting of the output of four equations that alternate sequentially.The equations are either subsequences of x^2 - 79x +...
19405
chrisdarroch
Jun 4, 2008 8:33 pm
Hi all, Would you consider this list A of primes including 2; A = [2,3,5,7,11] Then consider a number n. n has these properties: It is an even integer. It is...
19406
Bob Gilson
bobgillson
Jun 5, 2008 3:26 pm
Who precisely paid the money? ... From: Mark Underwood <mark.underwood@...> To: primenumbers@yahoogroups.com Sent: Monday, June 2, 2008 5:53:28 AM ...
19407
Bob Gilson
bobgillson
Jun 5, 2008 3:27 pm
... From: Bob Gilson <prime.number@...> To: chrisdarroch <chrisdarr2@...> Sent: Thursday, June 5, 2008 5:20:53 PM Subject: Re: [PrimeNumbers]...
19408
Bob Gilson
bobgillson
Jun 5, 2008 3:50 pm
Let a,b,c be consecutive natural numbers, where a >1 (a*c)-b appears to offer a greater density of primes than the norm; why? [Non-text portions of this...
19409
Chris Caldwell
primemogul
Jun 5, 2008 5:49 pm
From: Bob Gilson ... why? Call them n-1, n, and n+1 instead of a, b and c. Then a*c-b is n^2 - n - 1. This is never divisible by 2, so produces twice the ...
19410
Jaroslaw.Wroblewski@...
jarek372000
Jun 6, 2008 4:42 am
Yestyerday I have found 2 new CC17: CC17 2nd kind: 40244844789379926979141 CC17 2nd kind: 127806074555607670094731 Both were verified by Jens yesterday (I am...
19411
Jens Kruse Andersen
jkand71
Jun 6, 2008 10:54 am
... Congratulations again! The middle prime in the larger CC17 makes it the largest known case of both 16 and 17 simultaneous primes. The smaller CC17 was...
19412
Dirk Augustin
trex400
Jun 6, 2008 3:37 pm
Hi Jarek, congrats, very nice finds again! BTW, did you use any additional (public) programs for sieving/prp- /primetest beside your own programs? I need to...
19413
aldrich617
Jun 7, 2008 3:38 am
1373, 1523, -1601, -1447...... procedure Ndegrees4; var a : array[0..16] of extended; ct: longint; n,nh ,i,j : integer; ab1,ab2 : extended; begin for i := 0...
19414
aldrich617
Jun 7, 2008 4:00 am
Chris Caldwell won the initial Prize...but "The contest however will remain open, and I will smash my backup piggybank to replenish the prize, because what I...
19415
chrisdarroch
Jun 7, 2008 5:23 am
Just an additional explanation of what I am asking. Consider a value n = 38. Consider values x =[13,17,19,23,29,31,37,41,43,47] which are all indivible(as it...
19416
Kermit Rose
kermit1941
Jun 7, 2008 7:50 pm
3. Some clarification? Posted by: "chrisdarroch" chrisdarr2@... chrisdarroch Date: Fri Jun 6, 2008 10:23 pm ((PDT)) Just an additional explanation of...
19417
jarek372000
Jun 8, 2008 6:18 pm
Today I have discovered new largest CC16 (also new 16 Simultaneous Primes record): CC16, 2nd kind: 258296136493222766530021 (24 digits) It is a tiny...
19418
Kermit Rose
kermit1941
Jun 9, 2008 12:23 am
The sequence of primes have certain characteristic properties. Other sequences of integers have properties in common with the sequence of primes. One family of...
19419
jarek372000
Jun 10, 2008 1:49 pm
I have just discovered: CC17, 2nd kind: 1302312696655394336638441 (25 digits) CC15, 2nd kind: 5830768257311375388822241 (25 digits) I have given up searching...
19420
murat.cagliyan@...;LI...
murat.cagliyan
Jun 10, 2008 6:10 pm
Dear Group Members First of all, I can't use English well. So for writing pardon me. We have a paper about prime number and primality. We would like to submit...
19422
aldrich617
Jun 12, 2008 1:04 am
... Dr. David Broadhurst of Open University U.K, graciously declining the $91.91 prize, has satisfied the requirement with the following contiguous remarks: ...
19423
jarek372000
Jun 12, 2008 4:54 am
I have discovered: CC16, 2nd kind: 20193491108493165642344881 (26 digits) CC15, 2nd kind: 71838292723844326926417601 (26 digits) Jarek...
19424
leavemsg1
Jun 12, 2008 1:56 pm
Hi, Group. I have stored the idea for what I call a "disconnected" conclusion for the fact that M(2^127-1) is composite. Just go to yahoo groups and type in...
19425
w_sindelar@...
Jun 12, 2008 6:18 pm
Let P represent an odd prime>3 and N represent the number of primes from and including 2 to and including P. Then in the set of positive integers beginning...
19426
Dirk Augustin
trex400
Jun 13, 2008 10:29 pm
... Congratulations for improving the CC15 and CC16 records by another digit! Finally I managed to update the record list in the Files section. Jens Kruse...
19427
jaroslaw.wroblewski@...
jarek372000
Jun 13, 2008 11:42 pm
Thanks. Currently I am hunting for a 31 digit CC15 (2nd kind). After 40 hours of 29 computers work I have 2 CC14: CC14, 2nd kind:...
19428
Bernhard Helmes
bhelmes_1
Jun 14, 2008 11:24 am
A beautifull day, I have generalized a test for all primes. http://www.devalco.de/helmes_test_2.htm The test checks all numbers below 10^8 and all Carmichael...
19429
Mark Underwood
marku606
Jun 14, 2008 5:24 pm
... N and ... prime ... including ... trying to ... Someone's probably privately replied already, but yes your result is a consequence of the prime number...
