Lone Learner

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9 Questions

views newest activity votes

1

8

votes

2

answers

163

views

Conditional probability is undefined even though it seems defined intuitively

probability

sep 21 at 13:15 André Caldas 1,581

1

7

votes

0

answers

225

views

My attempt to prove GCD exists

elementary-number-theory divisibility

jan 28 '12 at 12:41 Ben Blum-Smith 3,457

6

votes

3

answers

316

views

Prove that every positive integer $n$ is a unique product of a square and a squarefree number

divisibility

may 2 '12 at 23:48 André Nicolas 161k

4

votes

4

answers

156

views

If $b^2$ is the largest square divisor of $n$ and $a^2 \mid n$, then $a \mid b$.

elementary-number-theory divisibility

nov 7 at 12:09 Community♦ 1

4

votes

3

answers

278

views

For every $n \ge 1$ there exist uniquely determined integers $a \gt 0$ and $b \gt 0$ such that $n = a^2b$ where $b$ is square-free. [duplicate]

prime-numbers divisibility

mar 3 '12 at 1:24 Community♦ 1

3

votes

5

answers

136

views

Is $k=3$ the only solution to $\sum_{r=1}^n r^k =\left( \sum_{r=1}^nr^1 \right)^2 $?

sequences-and-series

may 25 '12 at 16:22 Robert Israel 86.3k

3

votes

2

answers

126

views

Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n > 0$ and $0 < a_1 \leq a_2 \leq \dots \leq a_k$ are integers.

combinatorics number-theory

may 19 '12 at 0:25 Gerry Myerson 85.8k

1

3

votes

4

answers

1

kviews

How to prove $\gcd(a,\gcd(b, c)) = \gcd(\gcd(a, b), c)$?

number-theory divisibility

feb 7 '12 at 20:14 Lone Learner 303

2

votes

2

answers

167

views

Set operators vs. Logical operators while discussing probability theory.

probability notation

apr 21 '12 at 10:00 Henning Makholm 53.6k

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