I am looking for a practical probabilistic primality testing algorithm that is more superior than Miller-Rabin. By "more superior", I mean that the probability of giving the wrong answer is better than (1/4)^h where h is the number of times the test is conducted. Any help on this will be highly appreciated.
2026-03-27 08:55:34.1774601734
Looking for a more efficient primality testing Algorithm than Miller-Rabin
780 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in NUMBER-THEORY
- Maximum number of guaranteed coins to get in a "30 coins in 3 boxes" puzzle
- Interesting number theoretical game
- Show that $(x,y,z)$ is a primitive Pythagorean triple then either $x$ or $y$ is divisible by $3$.
- About polynomial value being perfect power.
- Name of Theorem for Coloring of $\{1, \dots, n\}$
- Reciprocal-totient function, in term of the totient function?
- What is the smallest integer $N>2$, such that $x^5+y^5 = N$ has a rational solution?
- Integer from base 10 to base 2
- How do I show that any natural number of this expression is a natural linear combination?
- Counting the number of solutions of the congruence $x^k\equiv h$ (mod q)
Related Questions in PRIME-NUMBERS
- New prime number
- Confirmation of Proof: $\forall n \in \mathbb{N}, \ \pi (n) \geqslant \frac{\log n}{2\log 2}$
- How do I prove this question involving primes?
- What exactly is the definition of Carmichael numbers?
- I'm having a problem interpreting and starting this problem with primes.
- Decimal expansion of $\frac{1}{p}$: what is its period?
- Multiplying prime numbers
- Find the number of relatively prime numbers from $10$ to $100$
- A congruence with the Euler's totient function and sum of divisors function
- Squares of two coprime numbers
Related Questions in PRIMALITY-TEST
- A variation on Giuga's conjecture
- A congruence involving Chebyshev polynomials
- Is there any simple primality test for large integer for students in the high school level?
- What is the most speed efficient primality test available
- A congruence involving Lucas polynomials
- Primality test for repunits in bases $\pm 3$
- Why $n=4$ the only integer satisfying :$-1+2^{n²+n+41}$ to be prime from $n=0$ to $n=40$?
- How to prove that if $n$ is prime then ${{n}\choose{i}} = 0 \mod{n}$?
- AKS Primality Test not a polynomial time algorithm?
- Is there any pseudoprime, $p$ such that $p\not\equiv\pm{1\bmod{18}}$?
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?
Grantham's Frobenius pseudoprimality test has far less error probability per round than a Miller-Rabin round. It requires somewhat more effort per round, but it seems that this is more than compensated by the smaller error margin.