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Largest Fraction Smaller than a Given Fraction

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#prime-numbers #supremum-and-infimum #integers
146
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Find all positive integer $a,b$, such that $[a,b+2017]=[a+2017,b]$.

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#number-theory #elementary-number-theory #divisibility #integers
2.5k
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Is the sum of two distinct primes an injective function on integers?

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#number-theory #prime-numbers #integers
1.3k
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Square root of 4 equals 2 (or) ±2?

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#roots #integers
46
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Proving numbers to be integers

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#integers #rational-numbers
210
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There is only one real value of $a$ for which the quadratic equation has two positive integral solutions

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#roots #quadratics #integers #products
239
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When $\alpha n + \beta \sqrt{n}$ is an integer for infinitely many n's?

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#number-theory #elementary-number-theory #real-numbers #integers
240
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How to determine the amount of non-integers from 0 to $n$ that have integer $x$ as their product?

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#integers
121
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Integers and Number-theory

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#number-theory #integers
39
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Calculate max Data

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#number-theory #discrete-mathematics #recreational-mathematics #integers
30
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Solve $f(n,p)=y$ where $(n,p,y)\in\Bbb N\times\Bbb N\times\Bbb N$

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#functions #integers
247
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Suppose for some positive integers r and s, the digits of $2^r$ is obtained by permuting the digits of $2^s$ in decimal expansion. Prove that $r = s$

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#divisibility #integers #decimal-expansion
400
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What do Tao & Vu mean by "additive set"?

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#elementary-number-theory #integers #additive-combinatorics
49
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Series for constructing integers

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#combinatorics #integers
866
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Sum of $2008$ consecutive positive integers

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#algebra-precalculus #integers

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