Is Integer Factorization Harder Than RSA Factorization?
Let’s find an answer to "Is Integer Factorization Harder Than RSA Factorization?". The most accurate or helpful solution is served by Theoretical Computer Science.
There are ten answers to this question.
Best solution
This is a cross-post from math.stackexchange. Let FACT denote the integer factoring problem: given $n \in \mathbb{N},$ find primes $p_i \in \mathbb{N},$ and integers $e_i \in \mathbb{N},$ such that $n = \prod_{i=0}^{k} p_{i}^{e_i}.$ Let RSA denote the special case of factoring problem where $n = pq$ and $p,q$ are primes. That is, given $n$ find primes $p,q$ or NONE if there is no such factorization. Clearly, RSA is an instance of FACT. Is FACT harder than RSA? Given an oracle that solves RSA...
Answer:
I found this paper entitled Breaking RSA May Be Easier Than Factoring. They argue that computing $e...
user17 at Theoretical Computer Science Mark as irrelevant Undo
Other solutions
Similar to how RSA is secure because of the difficulty of integer factorization, could there be an encryption standard that's secure based on, say, travelling salesman or any other hard problem?
Answer:
There is no cryptosystem whose security is known to be equivalent to an NP-hard problem. See Are the...
Michael Hamburg at Quora Mark as irrelevant Undo
Provide the prime factorization for the integer: 3,861
Answer:
3,861 = 3^3 * 11 * 13 ------ Ideas: If the sum of all digits is a multiple of 3, then 3 is a factor.
Alexis at Yahoo! Answers Mark as irrelevant Undo
show that all of the powers in the prime power factorization of an integer n are even if and only if n is a perfect square
Answer:
Well, this follows pretty immediately from the following two facts: (i) (x^m)^n = x^(mn), and (ii) ...
liberal g at Yahoo! Answers Mark as irrelevant Undo
Does anybody know how to show that the square root of a prime number is irrational WITHOUT using unique factorization (the fundamental theorem of arithmetic)? I have a test covering material of this nature tomorrow. This was a homework problem (except...
Answer:
Using a somewhat different approach, we can prove a general result: If p and q are positive integers...
zpconn at Yahoo! Answers Mark as irrelevant Undo
Answer:
The prime factorization problem is in the NP class, but we don't know if it is NP-hard. In other words...
Franck Dernoncourt at Quora Mark as irrelevant Undo
my program works well but the only problem is in never outputs hte number 2. when i enter the integer 18 its supposed to spit out the prime factorization which is 2 3 3 but it gives me 3 3. whats wrong... #include<stdio.h> int main() { while(3...
Answer:
There is a much easy prime factor. http://cquestionbank.blogspot.in/2008/01/write-c-program-to-find...
Nana at Yahoo! Answers Mark as irrelevant Undo
my program works well but the only problem is in never outputs hte number 2. when i enter the integer 18 its supposed to spit out the prime factorization which is 2 3 3 but it gives me 3 3. whats wrong... #include<stdio.h> int main() { while(3...
Answer:
Try this though it is crude #include<stdio.h> #include<stdlib.h> int main() { int i,n,rn...
Nana at Yahoo! Answers Mark as irrelevant Undo
suppose n is a positive integer with the following properties: n/24 is divisible by 10 but not 20 n/15 is divisible by 6 but not 18 n is not divisible by 35, 100, or any prime number with 2 or more digits what is the prime factorization of n? please...
Answer:
First constraint tells us that n has factors 2,2,2,3 (since n/24 is an integer), as well as 2,5 but...
Jeorn at Yahoo! Answers Mark as irrelevant Undo
Answer:
[ 2^12 - 1 ] [ 2^12 + 1 ] [ 2^6 - 1 ] [ 2^6 + 1 ] [ 2^12 + 1 ] [ 2^3 - 1 ] [ 2^3 + 1 ] [ 2^6 + 1 ] ...
a a at Yahoo! Answers Mark as irrelevant Undo
Related Q & A:
- Who do you think is harder to understand, a man or a woman?Best solution by Yahoo! Answers
- Is pre-calculus and calculus much harder than algebra?Best solution by Yahoo! Answers
- Which is harder to learn for a beginner - skiing or snowboarding?Best solution by Yahoo! Answers
- Is it harder to get into Public Colleges this year then it has been in the past?Best solution by theatlantic.com
- How might clock synchronization work with RSA SecurID tokens?Best solution by Physics
Just Added Q & A:
- How many active mobile subscribers are there in China?Best solution by Quora
- How to find the right vacation?Best solution by bookit.com
- How To Make Your Own Primer?Best solution by thekrazycouponlady.com
- How do you get the domain & range?Best solution by ChaCha
- How do you open pop up blockers?Best solution by Yahoo! Answers
For every problem there is a solution! Proved by Solucija.
-
Got an issue and looking for advice?
-
Ask Solucija to search every corner of the Web for help.
-
Get workable solutions and helpful tips in a moment.
Just ask Solucija about an issue you face and immediately get a list of ready solutions, answers and tips from other Internet users. We always provide the most suitable and complete answer to your question at the top, along with a few good alternatives below.