User Michael Lugo - Mathematics Stack Exchange

96 votes

Accepted

What do $\pi$ and $e$ stand for in the normal distribution formula?

answered Mar 22, 2011 at 22:20

66 votes

Why does the first 100,000 zeroes of the Riemann Zeta function have double-digit sequence count discontinuities at 00,11,22,33,44,55,66,77,88,99?

answered Jul 14, 2017 at 20:46

62 votes

Find the average of $\sin^{100} (x)$ in 5 minutes?

answered Mar 2, 2011 at 4:58

50 votes

Proving that $1$- and $2D$ simple symmetric random walks return to the origin with probability $1$

answered Jul 23, 2010 at 12:01

37 votes

Probability of 3 people in a room of 30 having the same birthday

answered Mar 9, 2011 at 2:06

37 votes

Can you answer my son's fourth-grade homework question: Which numbers are prime, have digits adding to ten and have a three in the tens place?

answered Sep 20, 2011 at 4:03

35 votes

How are we able to calculate specific numbers in the Fibonacci Sequence?

answered Jul 21, 2010 at 12:59

27 votes

If a prime number is reversed, and then appended to itself, why is the result always a composite number?

answered Jan 6, 2015 at 21:22

25 votes

Is there a real number lookup algorithm or service?

answered Jul 21, 2010 at 12:42

25 votes

Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$

answered Oct 28, 2011 at 21:59

24 votes

Can I use my powers for good?

answered Oct 24, 2011 at 20:19

24 votes

Math story: Ten marriage candidates and 'greatest of all time'

answered Dec 27, 2011 at 16:16

23 votes

Why do the $n \times n$ non-singular matrices form an “open” set?

answered Nov 22, 2011 at 2:17

23 votes

Why is $1^{\infty}$ considered to be an indeterminate form

answered Nov 16, 2010 at 1:40

19 votes

$C(n,p)$: even or odd?

answered Nov 19, 2010 at 21:18

19 votes

Good Physical Demonstrations of Abstract Mathematics

answered Jul 22, 2010 at 11:57

19 votes

Why eliminate radicals in the denominator? [rationalizing the denominator]

answered Mar 10, 2011 at 0:07

18 votes

Accepted

When you randomly shuffle a deck of cards, what is the probability that it is a unique permutation never before configured?

answered Jul 25, 2010 at 5:04

18 votes

Chance of meeting in a bar

answered Jan 27, 2012 at 18:16

17 votes

what is the sum of following permutation series $nP0 + nP1 + nP2 +\cdots+ nPn$?

answered Jun 21, 2012 at 19:24

17 votes

A (probably trivial) induction problem: $\sum_2^nk^{-2}\lt1$

answered Jul 25, 2012 at 0:04

17 votes

Factoring $a^{10}+a^5+1$

answered Mar 2, 2011 at 5:01

17 votes

What is the average of rolling two dice and only taking the value of the higher dice roll?

answered Nov 7, 2014 at 16:30

17 votes

Rolling $2$ dice: NOT using $36$ as the base?

answered Apr 18, 2017 at 18:16

16 votes

Show that any two consecutive odd integers are relatively prime

answered Feb 16, 2016 at 19:39

16 votes

Accepted

Uniform distribution on a simplex via i.i.d. random variables

answered Apr 12, 2011 at 21:28

16 votes

Accepted

Is there a closed-form equation for $n!$? If not, why not?

answered Jul 21, 2010 at 19:36

16 votes

$m!n! < (m+n)!$ Proof?

answered Jun 8, 2012 at 17:53

15 votes

Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$

answered Oct 29, 2011 at 20:00

15 votes

Taking Seats on a Plane

answered Nov 19, 2010 at 19:40

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428 Answers

What do $\pi$ and $e$ stand for in the normal distribution formula?

Why does the first 100,000 zeroes of the Riemann Zeta function have double-digit sequence count discontinuities at 00,11,22,33,44,55,66,77,88,99?

Find the average of $\sin^{100} (x)$ in 5 minutes?

Proving that $1$- and $2D$ simple symmetric random walks return to the origin with probability $1$

Probability of 3 people in a room of 30 having the same birthday

Can you answer my son's fourth-grade homework question: Which numbers are prime, have digits adding to ten and have a three in the tens place?

How are we able to calculate specific numbers in the Fibonacci Sequence?

If a prime number is reversed, and then appended to itself, why is the result always a composite number?

Is there a real number lookup algorithm or service?

Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$

Can I use my powers for good?

Math story: Ten marriage candidates and 'greatest of all time'

Why do the $n \times n$ non-singular matrices form an “open” set?

Why is $1^{\infty}$ considered to be an indeterminate form

$C(n,p)$: even or odd?

Good Physical Demonstrations of Abstract Mathematics

Why eliminate radicals in the denominator? [rationalizing the denominator]

When you randomly shuffle a deck of cards, what is the probability that it is a unique permutation never before configured?

Chance of meeting in a bar

what is the sum of following permutation series $nP0 + nP1 + nP2 +\cdots+ nPn$?

A (probably trivial) induction problem: $\sum_2^nk^{-2}\lt1$

Factoring $a^{10}+a^5+1$

What is the average of rolling two dice and only taking the value of the higher dice roll?

Rolling $2$ dice: NOT using $36$ as the base?

Show that any two consecutive odd integers are relatively prime

Uniform distribution on a simplex via i.i.d. random variables

Is there a closed-form equation for $n!$? If not, why not?

$m!n! < (m+n)!$ Proof?

Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$

Taking Seats on a Plane