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...
Formulas for producing chains of primes may be derived from known examples. If you have a quadratic equation that already has a notable chain , such as 10x^2...
I have prepared the first version of the description of the algorithm I have used for the AP24 search (and which was used on Raanan's computers for the AP25...
Each Sierpinski (and Riesel) number and the dual of it always have the same covering set as it is easy to see. So we only need to find a prime for a candidate...
This morning the first known AP25 has been discovered: 6171054912832631 + 366384*23#*n, for n=0 to 24 (Raanan Chermoni & Jaroslaw Wroblewski, May 17 2008) My...
Diaphantine Analysis Consider the equation x y = z where z is a given positive integer, not prime, and not divisible by a small prime. z is odd. z = x y z is...
Well, this is a sophism. It's true: 2 and 3 are primes but not 6k+-1; but I suppose primes should be ordered in different levels of quality: 1 is a prime...
Is well known that prime numbers can be found with sieve of Eratosthenes
and that they are all type 6n+1 or 6n-1. I do not think that it's already known that...
Hello All: I send a new conjecture: Conjecture for integer linear combinations of primes ... Let n a even number , for all 2<=k <=n/2 exists one or more...
One of my factoring schemes evolved into the following. z represents the integer to be factored. Let r1,r2,r3 be three primes selected so that (r1 + r2 + r3 +...
I have a question about notation. I'm trying to formulate an approach to the sieve of Eratosthenes while working into the model principles that are not...
