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Forum: Number Theory Discussion Group 2021-06-20, 00:24
Replies: 10
Views: 636
Posted By bhelmes
A peaceful and pleasant night for you, For...

A peaceful and pleasant night for you,

For people who like php-scripts I added a calculator which decline from the pyth. trippel to the gaussian integer modulo f:
...
Forum: Number Theory Discussion Group 2021-06-11, 02:32
Replies: 10
Views: 636
Posted By bhelmes
Thanks a lot for all replies. :hello: Is...

Thanks a lot for all replies. :hello:

Is this a mathematical correct way:

1. Choose a,b with a>0 and b>0 and a=/=b and a²+b² =/=0 mod f
(the trivial solutions are not important for me)

2....
Forum: Number Theory Discussion Group 2021-06-10, 00:44
Replies: 10
Views: 636
Posted By bhelmes
how do I find a and b with a²+b²=1 mod f

A peaceful and pleasant night for you,

how do I find (fast ?) a gaussian number a+bi with a²+b²=1 mod f
where f is an odd number.

Perhaps this question might be interesting also for others. ...
Forum: Miscellaneous Math 2021-06-07, 00:43
Replies: 0
Views: 44
Posted By bhelmes
was: a deterministic test for primes p=1 or p=7 mod 8 with 2 Selfridges

A peaceful and pleasant night for you,

the counter example of the last test was wrong.

There is a difference in the complex calculation:
If you use a factor=gcd (a,b) from a+bi and define...
Forum: Hardware 2021-06-06, 18:50
Replies: 20
Views: 1,093
Posted By bhelmes
I tried several possibilities in the Bios. All in...

I tried several possibilities in the Bios. All in all there is not much progress.
I think, I will run 200 DCs this year and switch off the computer in the hot season.
Thanks for your replys.

...
Forum: Miscellaneous Math 2021-06-02, 20:25
Replies: 10
Views: 2,094
Posted By bhelmes
You can visualize gaussian numers in two...

You can visualize gaussian numers in two different ways:

1. Reducing it to the unit circle, so that the norm (a,b)=a²+b²= 1 mod p
http://devalco.de/unit_circle/system_unit_circle.php?prim=127
...
Forum: Miscellaneous Math 2021-05-29, 20:31
Replies: 3
Views: 403
Posted By bhelmes
trial factoring for Mps

"The GIMPS factoring code creates a modified sieve of Eratosthenes (http://primes.utm.edu/glossary/page.php?sort=SieveOfEratosthenes) with each bit representing a potential 2kp+1 factor. The...
Forum: Hardware 2021-05-28, 18:25
Replies: 14
Views: 706
Posted By bhelmes
Linux mint needs 12 Gbyte space on the disk,...

Linux mint needs 12 Gbyte space on the disk, without any optimations.

I think you can add a pci-card for 2 or 4 M.2 cards for every pci-slot.

It may be interesting how long the M.2 card holds....
Forum: Science & Technology 2021-05-27, 16:06
Replies: 227
Views: 14,298
Posted By bhelmes
"First there comes all the important persons for...

"First there comes all the important persons for the vaccination,
then there comes all the older generation,
and you not!"

"It is only a number theorist."

Nevertheless I got my first...
Forum: Hardware 2021-05-26, 20:11
Replies: 14
Views: 706
Posted By bhelmes
I bought a 128 Gbyte M.2 card for 20,- Euro, made...

I bought a 128 Gbyte M.2 card for 20,- Euro, made a linux system on it.
I do not note any difference to a ssd card, but it does not need a cable.

Writing on a M.2 for mprime is faster than...
Forum: Miscellaneous Math 2021-05-23, 01:22
Replies: 10
Views: 2,094
Posted By bhelmes
A peaceful and pleasant night, I have added...

A peaceful and pleasant night,

I have added a pyramid like webapplication for primes, regarding gaussian numbers on the unit circle:

http://devalco.de/unit_circle/system_unit_circle.php
...
Forum: Hardware 2021-05-09, 23:27
Replies: 20
Views: 1,093
Posted By bhelmes
I set in the Bios the OCR on, and installed...

I set in the Bios the OCR on, and installed ryzenadj (Version 0.81),
but the program did not support my Cpu (Ryzen 3600)


Any other possibility ?
Forum: Hardware 2021-05-06, 19:14
Replies: 20
Views: 1,093
Posted By bhelmes
= 20 Watt saved. :rolleyes: I prefer Linux...

= 20 Watt saved. :rolleyes:

I prefer Linux Mint - "from freedom comes elegance " and pay 29 cent/kWh in Germany.

Thanks for the "realistic" suggestions.

I can feel it, the next Mersenne...
Forum: Hardware 2021-05-06, 01:29
Replies: 20
Views: 1,093
Posted By bhelmes
Reducing electric power ?

A peaceful night for you,

I have a small computer:
Processor : AMD Ryzen 5 - 6300 Six-Core Processor, 65 Watt
4*16 GB Ram DDR4 3200
Motherboard Asus B-450 Plus, Prime
M.2. 128gb,
no graphic,...
Forum: Miscellaneous Math 2021-04-09, 17:31
Replies: 35
Views: 1,165
Posted By bhelmes
What about an adding pretest like q^((f-1)/2)=f-1...

What about an adding pretest like q^((f-1)/2)=f-1 mod f.
This costs only one Selfridge and should exclude the counterexamples.





Thanks a lot of your amazing work, I get a bit jealous of...
Forum: Miscellaneous Math 2021-04-08, 23:32
Replies: 35
Views: 1,165
Posted By bhelmes
13361 is the smallest counterexample for this...

13361 is the smallest counterexample for this test.
http://devalco.de/unit_circle/system_unit_circle.php?prim=13361
1+10i was the base. :redface: :unsure: :loco:
Forum: Miscellaneous Math 2021-04-07, 15:11
Replies: 35
Views: 1,165
Posted By bhelmes
The last program version had some errors, which I...

The last program version had some errors, which I fixed in the new attached version. You have to substitute .c with .php

I think the program is easy to understand.

I run up to 8000 and there...
Forum: Miscellaneous Math 2021-04-06, 23:57
Replies: 35
Views: 1,165
Posted By bhelmes
A peaceful and pleasant night for you, Batalov ...

A peaceful and pleasant night for you, Batalov

First changing the title of this thread and then asking ?

Nevertheless I gave a mathematical explication and some arguments just some messages...
Forum: Miscellaneous Math 2021-04-06, 14:48
Replies: 35
Views: 1,165
Posted By bhelmes
I can offer (soon) a program in C or php, a...

I can offer (soon) a program in C or php, a (fast) exponention with complex numbers is needed, with some regards to symmetrics in addition and that is all.


I did not get familar with Pari/GP.
...
Forum: Miscellaneous Math 2021-04-06, 13:35
Replies: 35
Views: 1,165
Posted By bhelmes
My description is not perfect, I know, therefore...

My description is not perfect, I know, therefore I called it "discussion paper",
On the indicated website there is a sentence which explains it, and I tried to emphasize that I am regarding the...
Forum: Miscellaneous Math 2021-04-06, 13:15
Replies: 35
Views: 1,165
Posted By bhelmes
tan (alpha)=a/b=4/4=1/1 better ?

tan (alpha)=a/b=4/4=1/1 better ?
Forum: Miscellaneous Math 2021-04-06, 12:58
Replies: 35
Views: 1,165
Posted By bhelmes
I use some symmetric calculation: -3 = 4 mod 7...

I use some symmetric calculation:
-3 = 4 mod 7 therefore:
(1+2i)² = -3 +4i = 4+4i = 1+i (mod 7)


I regard the tangens (alpha)= a/b
if res:=gcd (a, b)>1 I replace it by a:=a/res; b:=b/res;

...
Forum: Miscellaneous Math 2021-04-06, 12:49
Replies: 35
Views: 1,165
Posted By bhelmes
A peaceful day for you, I will give a short...

A peaceful day for you,

I will give a short explication, why I think, that the test is deterministic:

I regard an angle resp. a+bi with the described proporties,
if I make an addition of the...
Forum: Miscellaneous Math 2021-04-06, 11:57
Replies: 35
Views: 1,165
Posted By bhelmes
A peaceful day for you, Batalov it would be...

A peaceful day for you, Batalov

it would be gentle from you to give a counterexample for the test
before you delete the "deterministic" word in the title.

There was a lot of joy in the...
Forum: Miscellaneous Math 2021-04-05, 04:07
Replies: 35
Views: 1,165
Posted By bhelmes
I think you have to add one condition: 1. b)...

I think you have to add one condition:
1. b) (a+bi)^(exp/8)=/=1+i mod f


:brian-e: :geek: :redface: :rolleyes:
Showing results 1 to 25 of 336

 
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