This question is in regards to the prime generator for an elliptic curve. I have taken the prime curve $\mathbb Z_p$ and have the $5$ prime number factors for the prime curve using Euler's Totient. Is there an algorithm to figure out prime generator(s) for the curve without using the naive approach for testing each integer which passes the congruency test for not being equal to $1 \mod p$?
2026-02-23 06:35:03.1771828503
Elliptic Curve - Prime Generator
60 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ELLIPTIC-CURVES
- Can we find $n$ Pythagorean triples with a common leg for any $n$?
- Solution of $X^5=5 Y (Y+1)+1$ in integers.
- Why does birational equivalence preserve group law in elliptic curves?
- CM elliptic curves and isogeny
- Elliptic Curve and Differential Form Determine Weierstrass Equation
- Difficulty understanding Hartshorne Theorem IV.4.11
- Elementary Elliptic Curves
- Flex points are invariant under isomorphism
- The Mordell equation $x^2 + 11 = y^3$.
- How do we know that reducing $E/K$ commutes with the addition law for $K$ local field
Related Questions in DISCRETE-LOGARITHMS
- Pohlig–Hellman/Big step baby step
- Show that if n is a power of 3, then $\sum_{i=0}^{\log_3n} 3^i = \frac{3n-1}{2}$
- is it meaningful to calculate $(x+1)^{x+2}$ in $GF(3^2)$, e.g. using discrete logs?
- Characterizations of the discrete logarithms for algebraic structures more general than groups
- Is there a direct mathematical function/ formula for calculate this problem?
- Is it possible to find a closed-form expression for $f(n)$?
- For generator $g$ of multiplicative group: if $\log_g (f^3) = 3x$, then $\log_g (f) = x$?
- Validity of ElGamal Signatures
- Is elliptic curve suitable for using in ECDLP?
- Discrete logarithm problem - Pohlig Hellman $GF(2^{60})$
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?