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The number of elements below $p^2$ divisible by p (p's Prime)

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#number-theory #elementary-number-theory
64
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Inequality involving Logarithmic Integral

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#number-theory
171
Views

Why $\sum\frac{\mu(h)\mu(k)}{hk}\gcd(h,k)=\prod\limits_{p\le x}\left(1-\frac1p\right)$, where the sum enumerates the pairs $(h,k)$ of primes below $x$

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#number-theory #prime-numbers #analytic-number-theory #mobius-function #euler-product
67
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About the solutions of the equation $ay^p-bx^q=k$

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#number-theory #algebraic-number-theory #diophantine-equations
150
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How to prove a claim about LCM?

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#number-theory #gcd-and-lcm
505
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Polynomials: gaining irreducibility by adding a constant

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#number-theory #polynomials #field-theory #irreducible-polynomials
31
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$b\equiv a\mod pq\Leftrightarrow\ b\equiv a\mod p\text{ and }b\equiv a\mod q$

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#abstract-algebra #number-theory #elementary-number-theory
141
Views

Sum of Legendre symbol

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#number-theory #legendre-symbol
177
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How to calculate the integral homology of a cell complex?

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#number-theory
59
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Is there any intuition behind why $\zeta(-1) = \int_{-1}^{0} \frac{N(N+1)}{2}$?

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#number-theory #analytic-number-theory
103
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Genus of the Category of Natural Numbers?

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#number-theory #graph-theory #algebraic-topology #category-theory
566
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Raising an expression involving modulo operator to a power.

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#number-theory #elementary-number-theory #prime-numbers #modular-arithmetic #cryptography
115
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Irrationality of the trigonometric functions

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#number-theory #elementary-number-theory #trigonometry
25
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Is it true that $q(q(x-1)+1)^m = x^m$ has no non-trivial integer solution $x$?

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#number-theory
153
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Prove a sum is not an integer

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#number-theory

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