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Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan
  • Member for 13 years
  • Last seen more than a week ago
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About

I’m a composer, music director, and educator. I do number theory as a hobby. I’ve had over a dozen number theory papers published in peer-reviewed journals (American Mathematical Monthly, Elemente der Mathematik, INTEGERS, etc.).

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question
27
Is there an online encyclopedia of Diophantine equations (OEDE)?
Jun 14, 2013
question
17
Are [Wieferich] primes the only solutions to the equation $2^{k-1} \equiv 1 \pmod{k^2}$?
Sep 18, 2013
question
17
Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
Aug 23, 2014
question
13
Solving the quartic equation $r^4 + 4r^3s - 6r^2s^2 - 4rs^3 + s^4 = 1$
Sep 30, 2013
answer
13
Fermat's proof for $x^3-y^2=2$
Feb 24, 2021
question
11
A congruence conjecture regarding $(r-s)^4-1 \equiv 0\!\pmod{4r^2s}$
Sep 24, 2014
answer
8
Fermat's proof for $x^3-y^2=2$
Jul 5, 2021
question
6
seeking an integer parameterization for A^2+B^2=C^2+D^2+1
Aug 13, 2012
question
3
prime factors of x^2 - 2
Dec 9, 2011
question
3
Is there an easy proof of this equation related to simultaneous Pell equations?
Sep 29, 2013
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Why is my question apparently not research-level?
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Where/how does one best post "Seeking a collaborator"
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34
Collection of surprising identities and equations.
23
Does this system of simultaneous Pell-like equations have any non-trivial positive integer solutions?
20
Does an elementary solution exist to $x^2+1=y^3$?
15
Collection of surprising identities and equations.
13
A Pell equation inside a Pell equation