Up to which value of $k$ has this been proved true?
$$\frac{N_k}{\phi(N_k)} > e^\gamma \log\log N_k$$
Thank you.
2026-03-29 19:16:04.1774811764
Computation of an inequality equivalent to RH
36 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in COMPUTABILITY
- Are all infinite sets of indices of computable functions extensional?
- Simple applications of forcing in recursion theory?
- Proof of "Extension" for Rice's Theorem
- How to interpret Matiyasevich–Robinson–Davis–Putnam in term of algebraic geometry or geometry?
- Does there exist a weakly increasing cofinal function $\kappa \to \kappa$ strictly below the diagonal?
- Why isn't the idea of "an oracle for the halting problem" considered self-contradictory?
- is there any set membership of which is not decidable in polynomial time but semidecidable in P?
- The elementary theory of finite commutative rings
- Is there any universal algorithm converting grammar to Turing Machine?
- Is the sign of a real number decidable?
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?
from comments, the two references I know are
http://math.univ-lyon1.fr/~nicolas/petitsphi83.pdf
https://arxiv.org/abs/1012.3613
I counted lines, proved up to $k=47$
Turns out I saved my computations as a jpeg. Notice that I'm not proving much, just calculating the number for primes up to 211. This is what you asked about. I do not know of anyone who has extended this computation, which would require better decimal accuracy