Skip to main content

Questions tagged [nt.number-theory]

Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

Filter by
Sorted by
Tagged with
2 votes
0 answers
110 views
+50

How to apply Pohlig Hellman using a very limited set of auxiliary inputs in that case?

So I was reading about Talotti, Paier, and Miculan - ECC’s Achilles’ Heel: Unveiling Weak Keys in Standardized Curves. The underlying idea is to lift the discrete logarithm problem to $\mathrm{prime}−...
user2284570's user avatar
1 vote
1 answer
178 views
+50

On a probabilistic integer factorization algorithm given bounds for one prime factor

We got a probabilistic integer factorization algorithm and experimental evidence with large integers given bounds for one factor. Let $D \ge 2$ be real number and let $p,q$ be primes and $N=pq$. ...
joro's user avatar
  • 25.4k