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comment How to Prove the divisibility rule for $3$
@Jyrki By your argument all the answers should be deleted. But only one was. One that emphasized an important viewpoint missing from the others (the polynomial view). Shame on you for downvoting it for nonmathematical reasons. I expected much better of you.
9h
reviewed Leave Open Proving $93x + 47 \equiv 61 \pmod {101}$
11h
comment How to solve $x=2^{-18}$ (mod 143)
@Mark Generally using least magnitude remainders is simpler for hand calculations (so I should've used $\,\color{#a0f}{k\equiv 8\equiv -3}\,$ above, yielding $\,x \equiv -40)\ \ $
12h
comment How to solve $x=2^{-18}$ (mod 143)
@Mark Actually CRT isn't too painful, see the way I'd do it above.
12h
revised How to solve $x=2^{-18}$ (mod 143)
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12h
revised How to solve $x=2^{-18}$ (mod 143)
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12h
answered How to solve $x=2^{-18}$ (mod 143)
15h
comment PROVE : $y∈\mathbb{N}$ and $\sqrt{y} ∈ \mathbb{Q}$ then $\sqrt{y} ∈ \mathbb{Z}$
@Michael Alas, nowadays the site is far less welcoming to new users than it has been in the past.
15h
comment PROVE : $y∈\mathbb{N}$ and $\sqrt{y} ∈ \mathbb{Q}$ then $\sqrt{y} ∈ \mathbb{Z}$
Immediate consequence of the Rational Root Test.
15h
comment Proving $93x + 47 \equiv 61 \pmod {101}$
Beware $ $ Modular fraction arithmetic is well-defined only for fractions with denominator coprime to the modulus. See here for further discussion.
15h
answered Proving $93x + 47 \equiv 61 \pmod {101}$
16h
revised Is $ \langle x,5 \rangle $ a maximal ideal of $ \mathbb{Z}[x] $?
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16h
answered Is $ \langle x,5 \rangle $ a maximal ideal of $ \mathbb{Z}[x] $?
16h
revised Jacobson radical in $A[x]$ where $A$ is a ring.
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17h
reviewed Leave Open How to prove this modular propositions
17h
comment Cyclic group Zp
There will always be some amount of overlap or duplication on a site this large. No need to apologize for that, esp, considering that special cases often prove instructive. My comment was merely meant to inform readers about the generalization.
17h
answered How to prove this modular propositions
17h
comment Cyclic group Zp
This is a special case of a proof that a finite subgroup of the multiplicative group of a field is cyclic, e.g. see here.
1d
comment quick question about prime numbers and division
To give an appropriate answer requires knowing what tools you have available. Do you already know about gcds and Bezout's identity for the gcd, or Euclid's Lemma, or the Euler-Fermat theorem, or Lagrange's theorem for groups?
1d
comment How to Prove the divisibility rule for $3$
NOTE Answers from a handful of other questions have been merged into this one, so if something seems strange (duplication, etc) then that probably explains why.