Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan's user avatar
Kieren MacMillan
  • Member for 12 years, 3 months
  • Last seen more than a week ago
26 votes
1 answer
1k views

Is there an online encyclopedia of Diophantine equations (OEDE)?

17 votes
2 answers
994 views

Are [Wieferich] primes the only solutions to the equation $2^{k-1} \equiv 1 \pmod{k^2}$?

17 votes
3 answers
2k views

Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$

12 votes
3 answers
3k views

Solving the quartic equation $r^4 + 4r^3s - 6r^2s^2 - 4rs^3 + s^4 = 1$

11 votes
1 answer
619 views

A congruence conjecture regarding $(r-s)^4-1 \equiv 0\!\pmod{4r^2s}$

6 votes
4 answers
556 views

seeking an integer parameterization for A^2+B^2=C^2+D^2+1

3 votes
1 answer
397 views

Proving conditions on $(r+s)^2 \mid (4r^4+1)$, related to Pell oblongs

3 votes
1 answer
364 views

Is there an easy proof of this equation related to simultaneous Pell equations?

3 votes
3 answers
11k views

prime factors of x^2 - 2

2 votes
1 answer
317 views

Alternate Definition(s) for (Ir)regular Primes

2 votes
1 answer
264 views

Does the congruence $a^p \equiv 1 \pmod{b^p}$ with prime $p \ge 5$ force $b \le p$?

1 vote
0 answers
160 views

For which recurrence relations is it decidable whether a formal power series has a maximal zero coefficient?

1 vote
6 answers
1k views

Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?

0 votes
0 answers
35 views

Finding the minimum representation of a positive integer as the sum of three nonzero squares

0 votes
1 answer
408 views

Given a generating function with "zeros", can one derive the function for ONLY the "zeros"?