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Truth of statements about numbers

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#elementary-number-theory #elementary-set-theory #real-numbers #rational-numbers #integers
768
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Prove that if an integer $n$ is odd, then there exists some integer $c$ such that $n^2 = 4c + 1$

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#algebra-precalculus #integers
153
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Choose the correct option

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#number-theory #integers
215
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How can I determine if a polynomial is factorizable in $Z_p[x]$?

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#abstract-algebra #polynomials #prime-numbers #integers
456
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How to round numbers fairly

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#number-theory #fractions #integers
157
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For what integer values of $y$ is $\frac{3y-1}{y-3}$ an integer?

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#elementary-number-theory #prime-factorization #integers
253
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find all integer solutions for $xy+1=3(x+y)$

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#elementary-number-theory #diophantine-equations #integers
133
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Difficult trigonometry problem to find the minimum value

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#trigonometry #optimization #definite-integrals #integers #cauchy-schwarz-inequality
188
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Upper bound of $(1-1/a)^{b-1}$

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#inequality #exponential-function #integers
2.9k
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Three odd integers from the set $\{1,3,5,7,9,11,13,15\}$ that equals to $30$.

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#summation #integers
74
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Solving the integral $\int \frac{2dx}{(x-2)(x-1)x}$

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#integers
44
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Question concerning simple proof

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#integers
970
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What values can $\gcd(n^2-n+1,n+2)$ take?

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#diophantine-equations #integers #gcd-and-lcm
108
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Find $n_i$ integers such that $\sum_i n_i$ is constant and $\sum_i (1/n_i)$ is minimum

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#inequality #optimization #integers #integer-programming
27
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If an integer $a$ is not divisible by an integer $b$, could this imply that $b = 0$?

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#integers

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