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The digit at position $n$ of the number $x$ in base $m$

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#functions #number-systems
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base-52 number system conversion

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#number-systems
77
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Find digits $a,b$ such that $7ab + 4ba = 1a21$.

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#elementary-number-theory #number-systems
92
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If $85_b = 58_c$, what is the smallest possible value of $b$?

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#puzzle #number-systems
58
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Number System Divisibility by 7

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#divisibility #number-systems
112
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Finding closed form of sequence $0, 2, 10, 28, 60, 110, 182,...$

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#elementary-number-theory #discrete-mathematics #number-systems
307
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Numbers between decimal number

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#rational-numbers #number-systems
100
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Proof explaining opposite of what is observed

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#functions #modular-arithmetic #arithmetic #number-systems #additive-categories
52
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Octal System Conversion

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#number-systems
230
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Determine a property of $S_b(n)$, which is the sum of the digits of $n$ when $n$ is expressed in base $b$

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#elementary-number-theory #modular-arithmetic #divisibility #number-systems #arithmetic-functions
89
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Evaluate the number of different numbers one can write, having at one's disposal n digits of a q-ary system.

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#combinatorics #number-systems
79
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Are the digits of $\log 2$ and $\log 3$, or $\sqrt{2}$ and $\sqrt{3}$, or $e$ and $\pi$, cross-correlated?

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#number-theory #statistics #number-systems #pattern-recognition
159
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Are numbers independent of the basis we use?

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#arithmetic #number-systems
147
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Composition of permutations in factoradic notation

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#combinatorics #permutations #number-systems
100
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Is there an ordering on $\mathrm Z$ to make it dense?

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#elementary-number-theory #rational-numbers #number-systems #ordered-fields

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