Is it possible to find the solution of this congruence by Fermat's little theorem and how ?
$$15125^{2401}\pmod {72}$$
Can somebody tell me how to do it by Euler's criterion?
2025-01-13 05:48:55.1736747335
Fermat's little theorem and Euler's criterion
132 Views Asked by Function https://math.techqa.club/user/function/detail AtRelated Questions in CONGRUENCES
- Solve $17x\equiv31\pmod{109}$
- A simple Congruence Equation
- If $x^2\equiv b\pmod{p}$ is solvable, then $x^2\equiv b\pmod{p^2}$ is solvable?
- Number Theory: $x^2\equiv 1\pmod{140}$
- Number Theory: Chinese Remainder Theorem $x^2\equiv x\pmod{180}$
- Number Theory Homework: Find 3 consecutive integers...
- How to find a solution to $x^2 \equiv 7 \pmod{787}$
- Converting $2^{16x} \equiv 2^6\text{ (mod 19)}$ to $16x\equiv 6\text{ (mod 18)}$
- a = b (mod m) and a = b (mod n) iff a = b (mod lcm(m,n))?
- Find the last three digits of $17^{102}$.
Related Questions in QUADRATIC-RECIPROCITY
- Prove that $\sum^{P}_{k=1} \lfloor\frac {ka}{p}\rfloor = \frac{p^{2} - 1}{8} + \mu(a,p)$ mod$(2)$
- If $n\in\Bbb Z^+$ is not a square, prove exist infinitely many primes $p$ such that $\left(\frac{n}{p}\right)=-1$.
- Let $p> 7$, prove that $\left(\frac{2}{q}\right) = (-1)^{\frac{q^2-1}{8}}$ with $q$ an odd prime
- Irreducibility in a polynomial related to quadratic residues
- Quadratic congruence with linear term
- Quadratic Reciprocity and Congruences
- Fermat's little theorem and Euler's criterion
- Quadratic reciprocity: Tell if $c$ got quadratic square root mod $p$
- Are there infinitely many pairs of primes, $p$ and $q$, such that $q = 4p + 1$?
- For what odd prime p is -3 a quadratic residues? Non-residue?
Related Questions in EULER-LAGRANGE-EQUATION
- To find pdes from this functional.
- Lagrange Multiplier FEM for Navier-Stokes
- Geodesic on the surface of a cone (calculus of variations)
- Non-integral constraints in calculus of variations
- Free Particle on Riemannian Manifold
- Using Euler-Lagrange equations to differentiate a Laplacian
- Time Derivative
- Conceptual problems when minimizing a simple functional
- When is the Lagrangian a constant of motion?
- Optimal control theory: Unclear dependence of control input on Lagrangian
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