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Describe the graph locus represented by this equation It is a hyperbola. |
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answered | Describe the graph locus represented by this equation |
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answered | Identify all $a \mod 35$ such that $35$ is a pseudoprime to base $a$ |
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Identify all $a \mod 35$ such that $35$ is a pseudoprime to base $a$ Well, there was a typo, you wanted gcd of 34 and 12. And sure, it is CRT for big numbers, easy with no machinery for $35$. |
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Identify all $a \mod 35$ such that $35$ is a pseudoprime to base $a$ There are two more solutions, the "mixed" ones. Solve $x\equiv -1\pmod{5}$, x\equiv 1\pmod{7}$. The other one is just the negative. |
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Find what values of $n$ give $\varphi(n) = 10$ added 427 characters in body |
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answered | Find what values of $n$ give $\varphi(n) = 10$ |
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answered | Results that came out of nowhere. |
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If $17 \mid \frac{n^m - 1}{n-1}$ find the values of $n$ where $m$ is even but not divisible by $4$ @Kaish: For $m$ of the right shape, any $n$ congruent to $1$ modulo $17$ works. In the material I added, there is a discussion (with proof) of the $n$ that work if $n\not\equiv 1\pmod{17}$. |
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If $17 \mid \frac{n^m - 1}{n-1}$ find the values of $n$ where $m$ is even but not divisible by $4$ added 647 characters in body |
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answered | If $17 \mid \frac{n^m - 1}{n-1}$ find the values of $n$ where $m$ is even but not divisible by $4$ |
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Factorization in Gaussian integers Because $p$ doesn't divide $i$. When does an ordinary integer $k$ divide a Gaussian $a+bi$? When $a+bi=k(c+di)$ for some Gaussian $c+di$. This means $kc=a$ and $kd=b$, i.e. $a$ and $b$ are each an ordinary multiple of $k$. Now $s-i$ is $s+(-1)i$, and $k\gt 1$ does not divide $-1$. (I have done too much detail!) |
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Factorization in Gaussian integers @bateman: Thanks for spotting it. It is $c^2$. Fixed. |
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Factorization in Gaussian integers added 14 characters in body |
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Factorization in Gaussian integers deleted 4 characters in body |
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answered | Factorization in Gaussian integers |
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answered | Understanding Bayes' Theorem |
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answered | general solution of equation and relation |
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Conditional probability for an exponential variable typo fixes, wording changes |
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answered | Probability of no matching pairs of shoes |
