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Mathematics
Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan
  • Member for 11 years
  • Last seen more than a month 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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answer
34
Collection of surprising identities and equations.
Sep 16, 2014
question
22
Does this system of simultaneous Pell-like equations have any non-trivial positive integer solutions?
Nov 22, 2014
answer
20
Does an elementary solution exist to $x^2+1=y^3$?
Nov 9, 2014
answer
15
Collection of surprising identities and equations.
Jun 25, 2014
question
13
Pell number factorization and divisibility question
Aug 25, 2017
question
13
A Pell equation inside a Pell equation
Apr 29, 2014
question
12
What is stopping every Mordell equation from having a [truly] elementary proof?
Nov 15, 2014
question
12
Solving $X^2-6Y^2=Z^3$ in positive integers
Jul 2, 2021
answer
12
Solve $x^2+2=y^3$ using infinite descent?
Sep 8, 2014
question
11
Looking for the most elementary proof that $48X^4+12X^2+1=Y^2$ has no non-trivial integer solution.
Mar 3, 2016
Top Meta posts
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28
Is it bad form to answer a question using someone else's previous comment(s)?
25
Is a question about "Best books/papers on X" appropriate?
16
Should I remove a link if given an external request?
16
What to do about these trivial edits? (http → https)
13
Different method for the same question = different post?
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26
Is there an online encyclopedia of Diophantine equations (OEDE)?
17
Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
16
Are [Wieferich] primes the only solutions to the equation $2^{k-1} \equiv 1 \pmod{k^2}$?
13
Fermat's proof for $x^3-y^2=2$
12
Solving the quartic equation $r^4 + 4r^3s - 6r^2s^2 - 4rs^3 + s^4 = 1$