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Forum: Number Theory Discussion Group 2020-10-30, 05:30
Replies: 0
Views: 74
Posted By MattcAnderson
Lightbulb multiply quaternions

Hi interested parties,

A quaternions can be represented by
q = c1*i+c2*j+c3*k+c4.

see Wikipedia on quaternions (https://en.wikipedia.org/wiki/Quaternion).

The resulting 'vector' has 16...
Forum: Lounge 2020-10-29, 04:02
Replies: 1,051
Views: 63,251
Posted By MattcAnderson
Smile Q What gets wet as it drys? A a towel ...

Q What gets wet as it drys?

A a towel

grinz

Q2 Did you hear the one about the guy stealing tires from the police?

A2 Our police are working TIRELESSLY to find the culprit.
Forum: Lounge 2020-10-29, 02:54
Replies: 2,058
Views: 67,649
Posted By MattcAnderson
really RhinoceRoses Eat Apples Lettuce Lets...

really

RhinoceRoses Eat Apples Lettuce Lets Enjoy

apples
Forum: Lounge 2020-10-26, 02:40
Replies: 2,058
Views: 67,649
Posted By MattcAnderson
entire Each Nut Thatched Is Really Excellent...

entire

Each Nut Thatched Is Really Excellent

really
Forum: Lounge 2020-10-23, 03:46
Replies: 53
Views: 1,340
Posted By MattcAnderson
Welcome to the forum. I too bought a gaming for...

Welcome to the forum. I too bought a gaming for dedicated prime searching purposes. It was a water cooled system. I find that the searching for 'a needle in a haystack' is fun because we are part...
Forum: Math 2020-10-13, 22:50
Replies: 8
Views: 308
Posted By MattcAnderson
We know that the Fermat numbers are defined as ...

We know that the Fermat numbers are defined as
F(n) = 2^(2^n) + 1.

Also,
F(0) to F(4) are prime numbers.
F(5) to F(32) are composite numbers.
F(33) to F(35) are of unknown character.
F(36)...
Forum: Math 2020-10-09, 07:02
Replies: 8
Views: 308
Posted By MattcAnderson
Why does a prime p divide a Fermat Number?

Hi all,
There is an interesting article in Mathematics Magazine (Vol 92, No 4, October 2020).
The title of the article is "Why does a prime p divide a Fermat Number?" They reference...
Forum: Lounge 2020-09-29, 01:51
Replies: 70
Views: 5,168
Posted By MattcAnderson
Moved from birds thread Okay, so I learned...

Moved from birds thread

Okay, so I learned something. Somewhere along the line I was told that to calculate "dog years" you multiply the age of the dog in calendar years by seven. There are...
Forum: Lounge 2020-09-27, 13:19
Replies: 70
Views: 5,168
Posted By MattcAnderson
My dog

My dog's name is Annabelle. She was born in 2013 so that makes her 7 in human years, and 49 in dog years. She is half pit-bull and half mix. We like to go to the dog park.

Cheers,
Matt
Forum: Math 2020-07-20, 05:09
Replies: 10
Views: 926
Posted By MattcAnderson
oops, I meant to allow 2 for any ai with 1>= i >=...

oops, I meant to allow 2 for any ai with 1>= i >= k

Also, a related conjecture is

Let S2 = q + sqrt(r).
where q is any rational number and r is and integer and not a square and greater than...
Forum: Math 2020-07-20, 03:53
Replies: 10
Views: 926
Posted By MattcAnderson
I learned something. The mathologger video...

I learned something.
The mathologger video about irrationals was helpful.
Wolfram Alpha has a command called MinimumPolynomial().
You input an expression, which can have square roots, and it will...
Forum: Math 2020-07-18, 09:04
Replies: 10
Views: 926
Posted By MattcAnderson
A google search of "Is square root of 2 plus...

A google search of
"Is square root of 2 plus square root of 3 rational"
helped me find a webpage at proofsfromthebook.com...
Forum: Math 2020-07-18, 07:58
Replies: 10
Views: 926
Posted By MattcAnderson
k=0 is an excellent choice. From the rational...

k=0 is an excellent choice.
From the rational root theorem, we have that the square root of any positive integer that is not itself a perfect square, is irrational.

Consider an example with k=1....
Forum: Lounge 2020-07-18, 07:21
Replies: 296
Views: 18,020
Posted By MattcAnderson
occupy Our Current Curriculum Usually Points...

occupy

Our Current Curriculum Usually Points Yourself

usually

:bounce:
Forum: Math 2020-07-18, 07:15
Replies: 10
Views: 926
Posted By MattcAnderson
Smile a question regarding irrational numbers

Hi again all,

Please look at the following conjecture.
Note that in mathematics, conjecture means 'probably true'.

Conjecture about irrational numbers
Forum: Math 2020-06-16, 17:45
Replies: 0
Views: 939
Posted By MattcAnderson
Post prime k-tuples

Hi again,

A good reference for k-tuples (https://primes.utm.edu/glossary/page.php?sort=ktuple) is at web-page at University of Tennessee Martin.

Many prime k-tuples are enumerated a Online...
Forum: Lounge 2020-05-29, 03:14
Replies: 296
Views: 18,020
Posted By MattcAnderson
codgers Computers Often Decry Getting...

codgers

Computers Often Decry Getting Everything Return Stop

returns
Forum: Lounge 2020-04-23, 19:38
Replies: 2,058
Views: 67,649
Posted By MattcAnderson
muscle Men Use Such Clean Learning...

muscle

Men Use Such Clean Learning Everywhere

cheers
Forum: Lounge 2020-04-22, 02:13
Replies: 42
Views: 1,358
Posted By MattcAnderson
If you are feeling sad or depressed, maybe some...

If you are feeling sad or depressed, maybe some Bible verses can be helpful.

https://www.biblestudytools.com/topical-verses/encouraging-bible-verses/

Hope this helps.

Matt
Forum: Miscellaneous Math 2020-02-09, 07:32
Replies: 17
Views: 1,839
Posted By MattcAnderson
It is great to see that there is interest in...

It is great to see that there is interest in Collatz Conjecture.

Some of you may also have seen the Numberphile Video.

Here (https://www.youtube.com/watch?v=5mFpVDpKX70)


For what its worth
Forum: Miscellaneous Math 2020-02-09, 02:36
Replies: 17
Views: 1,839
Posted By MattcAnderson
Here is an interesting article with an animated...

Here is an interesting article with an animated gif file regarding Collatz Conjecture.

Quanta magazine...
Forum: Lounge 2020-02-08, 08:09
Replies: 1,638
Views: 54,145
Posted By MattcAnderson
yetis Yesterday Even Time Is Sympathetic ...

yetis

Yesterday Even Time Is Sympathetic

times
Forum: Math 2020-02-08, 05:47
Replies: 6
Views: 3,538
Posted By MattcAnderson
primes separated by eight

Hi Mersenneforum and all,

Contributed to Encyclopedia -

see link to Online Encyclopedia of Integer Sequences (oeis.org/A023202)

Regards,

Matt
Forum: Lounge 2020-02-05, 17:25
Replies: 2,058
Views: 67,649
Posted By MattcAnderson
counts Chat Or Upside-down Nod Try Smith ...

counts

Chat Or Upside-down Nod Try Smith

chatter
Forum: Lounge 2020-02-05, 15:26
Replies: 1
Views: 431
Posted By MattcAnderson
oops

see attachment link

here (https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxtY2FzYW5kYm94fGd4OjdlNmRiMzFmYTlhOTA1NTY)

Existing .b file goes to 1000 integers in the sequence....
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