402 reputation
2725
bio website
location Seattle, WA
age 71
visits member for 3 years, 10 months
seen 15 hours ago

Contact: rudytoody.AT.comcast.DOT.net

I retired in 2006 and bought Mathematica and a stack of math books with the goal to teach myself to become a world-class mathematician. I am on pace to achieve that goal sometime shortly after the next Ice Age.

I consider myself a Mathematical Mutt (no papers) who occasionally ventures off the back porch to play in the yard with the big dogs.

I donate regularly to the The OEIS Foundation.

When I look at the patterns, I can hear the wheels turning. When I look at the math, I find out the hamsters have died.


May
22
comment For $k>3$ does there exist an odd prime $q_k$ such that $p_k=2^kq_k+1$ is prime and $p_k$ divides $a_k=\dfrac{3^{2^{k-1}}+1}{2}$?
You can finish up by accepting one of the answers.
Apr
16
awarded  Yearling
Apr
13
answered Deep Learning / Deep neural nets for mathematician
Mar
26
comment Uninteresting questions with interesting answers
@bubba, Carpenters call it kerf and they must account for it to build things. Sawmills do the same to determine board-feet of a log. The volume of this kerf is the sawdust.
Feb
17
answered Insightful books about elementary mathematics
Feb
10
comment Primes and Parity
1) Assuming Oppermann's conjecture, if you set $k=N+1$, you have primes in every interval. Don't know about the parity, though.
Feb
7
comment Mathematics of Computer science and AI
You can check out experimental-mathematics posts, here and at math.SE.
Jan
28
comment Surveys of the items of Erdős' “toolbox”
You might try Tricki.
Jan
17
awarded  Good Question
Jan
17
revised $\prod_{n=1}^{\infty} n^{\mu(n)}=\frac{1}{4 \pi ^2}$
added a link
Jan
11
revised Fundamental problems whose solution seems completely out of reach
added link to new proof
Jan
3
comment Are there any serious investigations of whether “mathematicians do their best work when they're young”?
I think that as an individual becomes more accomplished in her specialty, her employer rewards her with promotions. Each step up that ladder requires more time for non-specialty duties. Therefore, less time for creativity and thus fewer papers.
Dec
26
awarded  Popular Question
Dec
4
comment $\zeta(0)$ and the cotangent function
From Edwards, p 12, (1): for $n=0$,$$\zeta (2 n)=\frac{(-1)^{n+1} 2^{2 n-1} \pi ^{2 n} B_{2 n}}{(2 n)!}=\frac{(-1)^{n+1} 2^{2 n-1} \pi ^{2 n}}{(2 n)!}=-\frac{1}{2},$$ with and without the Bernoulli number.
Sep
11
suggested rejected edit on experimental-mathematics tag wiki excerpt
Sep
2
comment Recognize this strange expression from linear algebra?
+1 for index-spaghetti
Aug
11
awarded  Notable Question
Aug
11
revised $\prod_{n=1}^{\infty} n^{\mu(n)}=\frac{1}{4 \pi ^2}$
added note that the bug has been corrected in Mathematica V.10
Aug
10
comment Palindromic Patterns of Greatest Divisors $\leq k$
@PerAlexandersson, math.stackexchange.com/q/886041/28555 shows another identity (conjecture) based on the same palindromic divisor sequence.
Aug
10
comment Palindromic Patterns of Greatest Divisors $\leq k$
@PerAlexandersson, math.stackexchange.com/q/867135/28555 points to a post that explains how I found it. mathematica.stackexchange.com/q/48452/973 points to the Mathematica code for the recursive routine.