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Results tagged with nt.number-theory
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user 16054
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
1
answer
475
views
Small geometric progression modulo N
An problem related to integer factorization using the General Number Field Sieve is the following:
Let $N$ be a composite. Must there exist a 5-term geometric progression $\lbrace a_0,a_1,a_2,a_ …
- 360
7
votes
Fastest way to factor integers < 2^60
Inria has published a paper factoring 50-200 bits integers.
The four methods of choice are: SQUFOF, ECM, SIQS and CFRAC.
Within the paper a short pseudocode is given for each method, so you may be …
- 360
1
vote
Accepted
primes dividing binomial coefficients
Hi! I have a proposed answer for 2).
You can construct an infinite series of counter examples. Erdos proved that there are primes between $n$ and $2n$. Now consider $2n=2^k$ for some $k>2$.
We c …
- 360