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Solve quadratic congruence equation by completing square

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#number-theory #modular-arithmetic #quadratics
233
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Is it true that the number is divisible by $p$?

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#calculus #combinatorics #algebra-precalculus #geometry #number-theory
88
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continued fraction development of the numbers of the following form, $\sqrt{n^2-1}$

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#number-theory #continued-fractions
1.7k
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How to prove "Unit digit of a square number"?

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#number-theory #elementary-number-theory #modular-arithmetic #quadratic-residues
144
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What is the probability that $\gcd(a,b)$ is prime or twice a prime?

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#probability #number-theory #elementary-number-theory #prime-numbers
127
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Equal polynomials of equal degree at equal x must have equal coefficients?

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#number-theory
552
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Let $p$ be a prime number and consider the set of numbers $S = {1, 2, . . . , p − 1}$. Let $a ∈ S$. Prove the following two claims.

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#number-theory #elementary-number-theory
140
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Is $\frac{\left(1+\sqrt{4n^2+1}\right)^n+\left(1-\sqrt{4n^2+1}\right)^n}{2^n}$ always an integer?

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#sequences-and-series #number-theory
88
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Find the natural numbers such that a number is a prime number.

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#number-theory #prime-numbers #natural-numbers
74
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Base 5 help! determine if the solution is correct or incorrect

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#number-theory #elementary-number-theory #binary
511
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Generators/primitive roots/primitive elements of Prime fields

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#abstract-algebra #number-theory #field-theory #prime-numbers #finite-fields
76
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Congruences implied by division.

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#number-theory #modular-arithmetic
59
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existence of a prime as close as possible to $\sqrt[3]{n}$, for $n$ large enough

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#number-theory #prime-numbers #analytic-number-theory
132
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are there any elementary formula of $r'_3(n)$?

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#combinatorics #number-theory
352
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Analogous results to Euler's theorem

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#number-theory #modular-arithmetic

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