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Search: Posts Made By: jtavares
Forum: Factoring 2007-07-28, 11:56
Replies: 4
Views: 1,024
Posted By jtavares
larger small-prime bound => more processing per...

larger small-prime bound => more processing per relation.
Forum: Factoring 2007-05-25, 21:10
Replies: 16
Views: 2,249
Posted By jtavares
Terrible news :cry:

Terrible news :cry:
Forum: Factoring 2006-11-08, 16:38
Replies: 28
Views: 2,144
Posted By jtavares
How about RSA-129:...

How about RSA-129: http://en.wikipedia.org/wiki/RSA-129

Correct me if I am wrong but the factors seems to have different bit lengths.
Forum: Factoring 2005-04-11, 18:46
Replies: 3
Views: 1,451
Posted By jtavares
No, Henri Cohen's books do not deal with it - "A...

No, Henri Cohen's books do not deal with it - "A course in computacional algebraic number theory" and "Advanced topics in computacional number theory". I could only find the solution to x^2+dy^2=p...
Forum: Factoring 2005-04-11, 10:31
Replies: 3
Views: 1,451
Posted By jtavares
Looking for solutions to w^2-n*x^2=z^2

How can i find solutions (w, x, z) to the following equation:

w^2-n*x^2=z^2


Can i use the continued fraction expansion? and how?
Is the solution related to the factorization of n?
Forum: Factoring 2005-03-17, 20:47
Replies: 3
Views: 791
Posted By jtavares
Thanks. So it seems to me that there is no...

Thanks.

So it seems to me that there is no need to factor a and b.
Since when a is equal to 1 v*v - b = x*x can be solved by factoring b - Fermat factorization method.
Forum: Factoring 2005-03-17, 20:04
Replies: 3
Views: 791
Posted By jtavares
Help on solution for v^2-b=a*x^2

How to solve ? - find integers v and x such that

v*v - b = a*x*x

where a and b are known and not perfect squares.
Forum: Factoring 2004-11-25, 16:15
Replies: 5
Views: 1,066
Posted By jtavares
(1) Indeed, but mathematics is still evolving! ...

(1) Indeed, but mathematics is still evolving!

(2) There were many unproven and usefull theories until... someone proved it!

(3) But is my intention to do it. I shall apply it to the infamous...
Forum: Factoring 2004-11-24, 19:53
Replies: 5
Views: 1,066
Posted By jtavares
Factors bounds

At some time ago i conducted a study for finding smaller bounds on the prime factors for integer composite numbers of type n=p*q, n>0

It is already known that 1<=p<=sqrt(n) and sqrt(n)<=q<=n.
...
Showing results 1 to 9 of 9

 
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