After nearly 5 days of 29 computers work I have found a CC15, which sets 15 Simultaneous Primes record: CC15, 2nd kind: 28320350134887132315879689643841 (32...
I was sent another excellent link by my friend. This is a link to a NEW FREEBIE PAGE for this week so I thought I would, share it with the group...enjoy! The...
Consider the two arithmetic sequences k d2 + a2 and k + a1 where d2,a2,and a1 are integers, and k is the variable that takes on sequential values 0,1,2,3, ....
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...
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...
... Dr. David Broadhurst of Open University U.K, graciously declining the $91.91 prize, has satisfied the requirement with the following contiguous remarks: ...
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...
The sequence of primes have certain characteristic properties. Other sequences of integers have properties in common with the sequence of primes. One family of...
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...
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...
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...
I have found tabulary that a perfect no. -1 or -3 is never a prime. but I can't not find mathmatical solution to that. Another related quesstion is that every...
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...
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...
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 +...
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, ...
$91.80 prize Plus Undying Glory to the first person whose equation matches this output: 3167 2753 2753 1979 2357 1277 1979 647 1619 89 1277 397 953 ...
I have taken my transform idea that was posted on 5/22 and put it into a programming procedure. The exact mechanism by which it works is a bit of a puzzle....
1a. Quadratic Prime Chains Posted by: "aldrich617" aldrich617@... aldrich617 Date: Sun May 25, 2008 6:28 am ((PDT)) Can anyone factor X4 - 97X3 + 3294X2...
Well, got the official word from D.B.: linear transforms are of no value and egregious factors are annoying. But then again he says that about almost...
Some dpfps have the property that both members start with the same prime. Here are same instances: 2^3*19^2*127 2*7^2*13*19^3*181 abundancy 720/361 3^3*5 ...
A single dpfp is known with the same primes for both members 3^5*11*13^2 3^4*11^3*13 abundancy 6832/3861 Is it possible to find other deficient pairs with the...
I actually didn't find "bad primes" defined in any number theory way... they were associated with a Calabi-Yau based L-function in a paper with no real good...
(1) [ Definition ] A positive integer p is prime if and only if a > 0 divides p implies a = 1 or a = p. (2) A positive integer p is prime if and only if p...
In http://www.upforthecount.com/math/mandrill.html, Walter Nissen has defined a primitive friendly pair (pfp): 1. Abundancy is defined as the ratio of the...
I have found the following AP19 2027663243 + 1002606*19#*n, n=0..18 which, I believe, improves 24 years old "minimal known start AP19" record. The total CPU...
