In another attempt to derive an unorthodox factoring algorithm, I came up with the following identity. If z = x y = r**2 + d, then x * ( x + y - 2 * r) = ( r...
Hi, I'm a nmew member of the group PRIMENUMBERS.I have completed my graduation from department of statistics of Dhaka University.I want to know the new...
Let the large prime suspect have the shape of a quadratic cyclotomic polynomial. Then a simple indirect test has the following steps: 1) program the failure...
This is only to illustrate the procedure. I have considered only a) the cyclotomic polynomial x^2+1 b) values of x ranging from 1 t0 100 and c) the relevant...
Raanan continues running my program aimed at AP22 with difference divisible by 37# and here is another record: 89563668600668359 + 1840*37#*n, n=0..21 (Raanan...
Phil has replied to me saying that perhaps a counter-example to the indirect p.test can be found.I had replied " I hereby challenge anyone to produce one". He...
... You need to first prove that it is actually primality test rather than, for example, an exponential-time factoring algorithm. The latter would be of no...
-Since the test is an indirect one we do not test the p. suspect itself.What we do by programming the failure functions is just to check that the functions do...
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 :...
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Aug 7, 2008 9:59 am
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I am just curious, as I have only just discovered FRACTRAN. Is is theoretically possible to write a program that factors a given number in FRACTRAN? I...
Raanan continues running my program aimed at AP22 with difference divisible by 37# and this time an extra prime term gave us a double record (AP22 & AP23): ...
... If you believe the statement that FRACTRAN is Turing-complete (I haven't checked the proof myself) then the answer to your question is an unambiguous YES. ...
Dear Friends, I am very happy that the moderator has permitted me to join this group of mathematicians. I would like to put a new topic but fundamental and may...
Dear friends, Here I would like to put the simple proof of Goldbach Conjecture, as I understood it. Here I have defined a term called primitive prime i.e. 2. I...
I have taken time in to write something worthy of your valuable time.  Nothing really new, just my attempt at understanding the relationship between...
... Perhaps I do not understand the question, but the primes are trivially *not* arithmetic. They do however contain arithmetic progressions of all lengths,...
... My personal opinion is that thinking is great, and getting results by yourself is important too; but as important as that is to study hard until you catch...
Raanan continues running my program aimed at AP22 with difference divisible by 37# and here is another record: 110236462100072933 + 2422*37#*n, n=0..21 (Raanan...
This prime chain was not produced with the melded equations method that was used in most of the other "prime chain" postings on this website, but was rather...
... Interesting question. I suspect that there are only finitely many more solutions, perhaps no more, but don't have a clue how to start to prove this. Paul...
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