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...
... Aldrich, I have to say that your description of Prof. Caldwell's solution - "opus delectus" and "hideously beautiful" - had me laughing. Helped to cheer...
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, ...
... 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...
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 +...
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...
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...
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 ...
Yestyerday I have found 2 new CC17: CC17 2nd kind: 40244844789379926979141 CC17 2nd kind: 127806074555607670094731 Both were verified by Jens yesterday (I 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...
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...
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...
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...
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...
Today I have discovered new largest CC16 (also new 16 Simultaneous Primes record): CC16, 2nd kind: 258296136493222766530021 (24 digits) It is a tiny...
The sequence of primes have certain characteristic properties. Other sequences of integers have properties in common with the sequence of primes. One family of...
I have just discovered: CC17, 2nd kind: 1302312696655394336638441 (25 digits) CC15, 2nd kind: 5830768257311375388822241 (25 digits) I have given up searching...
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...
... Dr. David Broadhurst of Open University U.K, graciously declining the $91.91 prize, has satisfied the requirement with the following contiguous remarks: ...
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...
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...
w_sindelar@...
Jun 12, 2008 6:18 pm
19426
... 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...
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...
... N and ... prime ... including ... trying to ... Someone's probably privately replied already, but yes your result is a consequence of the prime number...
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