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A problem based on number theory(congruence relation)

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#number-theory
31
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How Close Can Numbers with Bounded Prime Factors Be?

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#number-theory #limits #elementary-number-theory #prime-numbers
92
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How can I calulate $\gcd(ab,c)$?

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#number-theory #gcd-and-lcm
260
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Solving systems of congruences using Chinese remainder theorem

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#number-theory #modular-arithmetic #systems-of-equations
264
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Prove $(1+\sqrt{2})^k= \sqrt{n}+\sqrt{n-1}$

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#number-theory #elementary-number-theory #induction #radicals #pell-type-equations
88
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How many elements in $S$ satisfy $x^2=49 \pmod{5400}$?

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#number-theory #modular-arithmetic #chinese-remainder-theorem
62
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Find the polynomial $p∈P(\Bbb F)$ of lowest possible degree using Lagrange interpolation

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#linear-algebra #number-theory #proof-verification
127
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Cyclic Behavior of Iterated Simple Rational Functions

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#number-theory #analysis
299
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about the p-adic logarithm

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#number-theory #p-adic-number-theory
65
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Are there infinitely many primes of the form $b^n+1$ where $b$ is fixed?

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#number-theory #prime-numbers
299
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Prove that there are infinitely many integers $n$ such that $3\nmid\phi(n)$

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#number-theory #elementary-number-theory #divisibility #totient-function
1.3k
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How many ordered pairs satisfy $\log(x^3+\frac{1}{3}y^3+\frac{1}{9})=\log x+\log y$?

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#algebra-precalculus #number-theory
56
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Prove that the there exists a single Reduced residue system.

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#number-theory #gcd-and-lcm #reduced-residue-system
145
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Relation between primeness and co-primeness of integers

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#number-theory #logic #prime-numbers #integers #coprime
166
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What is $\operatorname{gcd}(a,2^a-1)$?

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#number-theory

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