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Search: Posts Made By: Erasmus
Forum: Factoring 2004-05-21, 05:30
Replies: 3
Views: 1,227
Posted By Erasmus
Prime Generators and/or Source Codes

Hi
Me and my colleague need a prime generator for our next text project. We'll be working on some of RSA's recent assignments and measure the performance of some methods. To do it, we must use a...
Forum: Puzzles 2004-05-20, 12:35
Replies: 5
Views: 1,127
Posted By Erasmus
Maybe remainders of modulo of a very special...

Maybe remainders of modulo of a very special number for successive primes?
Forum: Factoring 2004-05-14, 09:26
Replies: 3
Views: 1,583
Posted By Erasmus
Thanks Mally, I appreciate for these infos.

Thanks Mally, I appreciate for these infos.
Forum: Factoring 2004-02-27, 09:09
Replies: 32
Views: 4,974
Posted By Erasmus
I am using Prime95 to find 50-60 digit factors of...

I am using Prime95 to find 50-60 digit factors of F14. My B1=44 000 000, and i am running two and a half curve each day with my 2.2GHz P4 Mobile.



IF ECM finds a factor, then it is probably a...
Forum: Factoring 2004-02-26, 07:25
Replies: 32
Views: 4,974
Posted By Erasmus
If there is a factor, it is either k*2^n+1 being...

If there is a factor, it is either k*2^n+1 being prime or composite. But also let me point out that a composite number can well be written in form of some ugly k*2^n+1 form. For a number to be a...
Forum: Math 2004-02-23, 21:10
Replies: 46
Views: 9,108
Posted By Erasmus
What are the Primality Tests ( not factoring! ) for Fermat Numbers?

Hi

I have been dealing with factors of fermat numbers F12,F13,F14

I know that primality status of some fermat numbers F33,F34... are still unknown. Many are working on factoring but not a long...
Forum: Other Mathematical Topics 2004-02-23, 14:21
Replies: 12
Views: 3,581
Posted By Erasmus
Suggestions on good number theory books???

Hi,

I am in need of a number theory book to learn all such things about primes, modular arithmetics and those kind of stuff.

I live in turkey and can not find all i intend to. Currently i'm...
Forum: Teams 2004-02-19, 11:29
Replies: 8
Views: 9,521
Posted By Erasmus
Should my team own a web site in order to enter...

Should my team own a web site in order to enter the list???
Forum: Factoring 2004-02-19, 10:34
Replies: 32
Views: 4,974
Posted By Erasmus
There is not many examples violating this...

There is not many examples violating this conjecture. I wish it is smaller than 68, but also way too smaller than it!!!!!

I ran 2 curves with B1= 44 000 000, after how many curves should i...
Forum: Factoring 2004-02-19, 10:15
Replies: 5
Views: 2,500
Posted By Erasmus
A method for RSA?????

I have been examining previous RSA challenges in recent hours. I have some preliminary ideas on RSA factorization process.

For simplicity, let D(x) denote # of digits in integer x.

RSA-576 has...
Forum: PrimeNet 2004-02-19, 09:02
Replies: 10
Views: 1,376
Posted By Erasmus
Prime95 may behave like finding a prime or some...

Prime95 may behave like finding a prime or some important other thing. I don't think the emergency behaviour of Prime95 will be a major problem, but i must insist again that i do not know much about...
Forum: PrimeNet 2004-02-19, 07:13
Replies: 10
Views: 1,376
Posted By Erasmus
Sure, you are 100% right for that point. It is...

Sure, you are 100% right for that point. It is most sensible to assign 11M to slow computers for now, but we'll have to check for 33M at some time right?

I don't say let's start checking 33M now...
Forum: Factoring 2004-02-18, 23:37
Replies: 5
Views: 2,500
Posted By Erasmus
Can we use NFSNET's project GUI executable for...

Can we use NFSNET's project GUI executable for our private purposes. I think they are trying 811 bits, can i download it and use it to factor RSA-640 ???

if yes how??

if not, is there any GUI...
Forum: Factoring 2004-02-18, 20:49
Replies: 32
Views: 4,974
Posted By Erasmus
Thanks I used alpetron's ECM and found out...

Thanks

I used alpetron's ECM and found out that no new factors are found! If i am right, after placing lowm.txt, it will start a new curve if no new factors found according to lowm.txt. But if i...
Forum: PrimeNet 2004-02-18, 20:38
Replies: 10
Views: 1,376
Posted By Erasmus
..........Also i don't agree with garo about the...

..........Also i don't agree with garo about the discussion below



IN principle, i think 1st LL and DC does not differ in any manner. They are both employing LL test and their results should...
Forum: PrimeNet 2004-02-18, 20:20
Replies: 10
Views: 1,376
Posted By Erasmus
Patrik made a way better explanation for my...

Patrik made a way better explanation for my proposal. I did not mentioned transferring Mega save files to server, instead, i suggested to transfer the result file of any iteration processed in the...
Forum: Factoring 2004-02-18, 16:30
Replies: 32
Views: 4,974
Posted By Erasmus
Is there anything wrong about my process?????????...

Is there anything wrong about my process?????????
My first curve(B1=11 000 000) ended with a result shown partly below :
329...................7884463036021920467221415935

It is a huge number of...
Forum: Factoring 2004-02-17, 22:34
Replies: 32
Views: 4,974
Posted By Erasmus
Sure F14 is still a huge number with 4933 digits....

Sure F14 is still a huge number with 4933 digits. But check the status of some fermat numbers ( F2478782 , http://www.prothsearch.net/fermat.html )
Its factor is with k=3 n=2478785

Of course...
Forum: PrimeNet 2004-02-17, 08:42
Replies: 10
Views: 1,376
Posted By Erasmus
Improvements possible for assignment procedure and double checking????

hi everyone

I composed an e-mail to mersenne mailing list, but there were no actions for 5 days. I am writing it here now, may be there are some useful info on it .

Here it is :

Hello
I...
Forum: Factoring 2004-02-17, 07:53
Replies: 32
Views: 4,974
Posted By Erasmus
Factoring Fermats

Really thanks for your interest on this subject,

I have a P4, so i think it will be better using M-mode for 2^14, but i have 2nd pack of questions now!

1- F14 is a very small number when...
Forum: Factoring 2004-02-16, 15:50
Replies: 32
Views: 4,974
Posted By Erasmus
Factoring Smallest Fermat Numbers

Hi,

I was searching for some specialised factorization websites and found out that some relatively small Fermat numbers remain unfactored for 40 years.

INFO Fermat Numbers are of the form...
Forum: Factoring 2004-02-14, 12:37
Replies: 32
Views: 7,821
Posted By Erasmus
GUI based flawless program for factorization

Hi

I tried nearly every compatible programs on the first post but didn't manage to work it completely.

Is there any smooth-looking program(GUI is favored!) that can test numbers alone as well...
Forum: Factoring 2004-02-14, 12:27
Replies: 3
Views: 1,583
Posted By Erasmus
A Proposal for searching Recurrence Series Primes

Hi to everyone,

I am interested in searching the general properties of recurrence series, generally
u(1)=p
u(2)=q
u(n+1)=u(n) + u(n-1)
where p and q are either 1 or prime.
Famous examples of...
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