Kieren MacMillan

# 110 Questions

2
2
0
88
views

### Proving that $b^6-2a^3b^3-2b^3+a^6-2a^3+1$ is never a nontrivial integer square?

Aug 13 '15 at 2:24 Kieren MacMillan 3,568

2
3
229
views

2
0
33
views

### Determine the square or triangular polynomial closest to a given polynomial

Oct 30 '14 at 21:59 Kieren MacMillan 3,568

2
0
28
views

### $ab$ is a quadratic residue modulo $c$, and $-ab$ is a QR modulo $c^{(p-1)/2}$

Sep 16 '14 at 2:39 Kieren MacMillan 3,568

2
1
114
views

2
0
63
views

### Powerful numbers in Pell solutions (or, more generally, any Lucas sequence)

Aug 21 '14 at 18:57 Kieren MacMillan 3,568
2
2
5
173
views

2
3
225
views

1
1
vote
0
239
views

### Interesting or creative applications of Bezout’s (Bachet’s) Identity

Jun 30 '17 at 13:09 Kieren MacMillan 3,568

1
vote
1
45
views

1
1
vote
1
68
views

1
vote
0
31
views

### Trying to show that a certain cubic in integer $n$ is not always solvable in integers $1 \le a,b,c < 2n$

Dec 13 '16 at 15:35 Kieren MacMillan 3,568

1
vote
0
65
views

### The largest “root-sum” in a four-square representation

Sep 9 '16 at 16:41 Kieren MacMillan 3,568

1
vote
0
56
views

### Properties of integers $x^n+2$ when $n \ge 3$

Sep 2 '16 at 15:33 Kieren MacMillan 3,568

1
vote
0
164
views

### Theorems of properties of rational right triangles proving Pythagorean triples

Aug 18 '16 at 15:29 Tito Piezas III 30k
1
1
vote
0
100
views

### Proofs by infinite descent on the number of prime factors of an integer

Aug 17 '16 at 1:13 Kieren MacMillan 3,568
1
1
vote
1
85
views

1
1
vote
2
81
views

2
1
vote
0
77
views

### A divisibility conjecture related to the Ramanujan-Nagell equation

Jun 23 '16 at 17:50 Kieren MacMillan 3,568

1
vote
3
89
views

1
vote
3
224
views

1
vote
1
65
views

1
vote
0
74
views

### Is there a general method to determine the [non-]solutions to $ax^4+bx^2+c=y^2$?

Feb 24 '16 at 18:59 Kieren MacMillan 3,568

1
vote
2
52
views

1
1
vote
0
53
views

### Which progressions and sequences are guaranteed to contain infinitely many primes?

Oct 18 '15 at 23:50 Kieren MacMillan 3,568

1
vote
0
46
views

### Is there a compact formula for $x^n-(x-a)^{n-1}$?

Sep 11 '15 at 21:13 Kieren MacMillan 3,568

1
vote
0
84
views

### On Catalan's complete solution to the equation $T^2=U^2+V^2+W^2$

Jul 25 '15 at 0:35 Kieren MacMillan 3,568

1
vote
2
84
views

1
vote
0
61
views

### Is anything special about the Pythagorean triple generator $(3u^k,1)$?

Sep 4 '14 at 17:13 Kieren MacMillan 3,568

1
vote
0