Is there any way to estimate how "deep" we'd need to go into the decimal expansion of a normal number to find a specific string of digits, say a 10-digit pattern?
What about a 100-digit pattern?
2025-01-12 23:52:35.1736725955
Finding a 10-digit pattern in the decimal expansion of a normal number?
113 Views Asked by BradC https://math.techqa.club/user/bradc/detail AtRelated Questions in NUMBER-THEORY
- Page 99 of Hindry's Arithmetics, follows from exact sequence that $\text{N}(IJ) = \text{N}(J)\text{card}(J/IJ)$?
- How do I solve this over the integers
- How many ways to write a number $n$ as the product of natural numbers $\geq 2$?
- Representing integers as difference of semi-primes
- If $f,g$ are non-zero polynomials and $f$ divides $g$, then $\partial f \leq \partial g$.
- Conjugacy Class in Galois Representations
- Understanding Quadratic Residue Modulo n Structure
- Properties of the Gamma function
- Matrix of quadratic form (in Serre's general notion)?
- Find all pairs of positive integers $(n,k)$
Related Questions in IRRATIONAL-NUMBERS
- Characterizing the roots of rational numbers
- Neighbors of Irrational Numbers on Real Number Line
- Is $\sqrt[2]{(2/7)}$ irrational?
- Does $\sin n$ have a maximum value for natural number $n$?
- Finding a 10-digit pattern in the decimal expansion of a normal number?
- A question of rationality of integral powers
- Why a segment of length $\sqrt{2}$ can be drawn but a segment of length $\pi$ cannot?
- Is my proof for this claim correct?
- Prove that $\sqrt{5}+1$ is irrational
- Proof that $2\sqrt2 + \sqrt7$ is an irrational number
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- 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?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- 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
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity