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Solve the equation $a+b+c=abc$ for $a,b,c\in\mathbb{Z}$

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#elementary-number-theory #trigonometry #integers
94
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Calculate number of integers less than n fitting the form 6n±1

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#integers
266
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Congruence modulo n where one side is equal to 1

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#congruences #integers
3.5k
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I am thinking of a two digit number... (System of Equations Question)

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#systems-of-equations #integers
52
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A question about numbers with a certain property

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#induction #recursion #integers
64
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Find a real function knowing its values for all natural numbers

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#real-analysis #functions #integers
1.6k
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Prove that if a and b are positive integers, then there exists integers x and y such that 1/lcm(a,b)=x/a+y/b

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#elementary-number-theory #proof-writing #integers #least-common-multiple
171
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Prove that if $2^x,3^x, 5^x, 7^x, 11^x ... $ are all integers then $x$ is an integer as well

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#functions #exponentiation #exponential-function #integers
296
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Induction and Maximum Principle

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#elementary-number-theory #induction #integers
244
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How to prove that $4x^3+6x^2+4x+1$ is not a fourth power of an integer, for any $x\in\mathbb N$?

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#number-theory #integers
85
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$a > b+1 \Rightarrow a>x>b$?

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#logic #inequality #proof-writing #real-numbers #integers
171
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Show that $\gcd(a,b)>1$

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#algebra-precalculus #number-theory #elementary-number-theory #divisibility #integers
101
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Integer Optimization

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#optimization #integer-programming #integers
84
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Terminology: what is the "generic character" of a ternary quadratic form?

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#number-theory #terminology #quadratic-forms #integers
65
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Does 2 one-dimensional intervals touch?

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#computational-mathematics #integers

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