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Search: Posts Made By: a1call
Forum: Lounge 2021-05-15, 01:57
Replies: 20
Views: 607
Posted By a1call
Well, posts number 18 & 19, and the current...

Well, posts number 18 & 19, and the current result of the pole are the reasons why Science is not a democratic process. I think everything relates.
Forum: Lounge 2021-05-14, 21:02
Replies: 20
Views: 607
Posted By a1call
Aren't all Mersenne-numbers with Prime-exponents,...

Aren't all Mersenne-numbers with Prime-exponents, Fermat's-Probable-Prime in base 2^n?:smile:

Pari-GP:

forprime(n=1,19^1,{
Mn=2^n-1;
print(Mod(2,Mn)^(Mn-1););
...
Forum: And now for something completely different 2021-05-12, 19:56
Replies: 6
Views: 98
Posted By a1call
No such implications was implied. I am very much...

No such implications was implied. I am very much aware of how awesome these achievements are. I was only pointing out a lack in the definition's preciseness. It is a shame to have the meaning not...
Forum: And now for something completely different 2021-05-12, 14:31
Replies: 6
Views: 98
Posted By a1call
@Dr Sardonicus, I agree with your assessment...

@Dr Sardonicus,

I agree with your assessment that a probable prime should be defined clearly as an integer which passes some probable-primality-test such as the Fermat test and is not known to be...
Forum: And now for something completely different 2021-05-12, 10:40
Replies: 6
Views: 98
Posted By a1call
It is semantics and the intention is obvious here...

It is semantics and the intention is obvious here but:



https://en.m.wikipedia.org/wiki/Probable_prime

Accordingly, a pseudoprime (composite) can be categorized as a PRP with that...
Forum: And now for something completely different 2021-05-12, 09:57
Replies: 6
Views: 98
Posted By a1call
Discussion of definitions

I think it is important to distinguish (here) between known pseudoprime PRP's and Probably-Prime PRP's. There is a known Carmichael numbers with much greater digits count.
...
Forum: Number Theory Discussion Group 2021-05-08, 15:52
Replies: 6
Views: 583
Posted By a1call
Nice. A numeric example for 2n-1 = 65: ...

Nice.
A numeric example for 2n-1 = 65:

https://www.wolframalpha.com/input/?i=y%3D%28x%5E2-%28%28%2865%2B1%29%2F2%29%5E2-%28%2865%2B1%29%2F2%29%29%29%2F65+solve+for+over+the+integer

ETA:
No...
Forum: Hardware 2021-05-06, 12:11
Replies: 18
Views: 644
Posted By a1call
My Ryzen 9 system behaves quite differently from...

My Ryzen 9 system behaves quite differently from any/many quad Intel/AMD systems I have owned throughout the years. In my experience the quads would heat up more, the more load/cores/threads are...
Forum: Lounge 2021-05-04, 13:50
Replies: 40
Views: 2,841
Posted By a1call
Yes, what's that all about? Why not chose the...

Yes, what's that all about? Why not chose the sorted/logical format like the rest of the world. AFAIK this is not a matter of Metric vs. Imperial and the Brits/Canadians used the sorted format even...
Forum: Cloud Computing 2021-04-30, 14:32
Replies: 14
Views: 462
Posted By a1call
IIRC I bought a windows pro for $200 and change....

IIRC I bought a windows pro for $200 and change. Granted it is not a server version but you can RDP to it and is for some reason lacking from any available instances anywhere.
I wouldn't be so...
Forum: Cloud Computing 2021-04-30, 12:38
Replies: 14
Views: 462
Posted By a1call
I haven't used cloud computing for number...

I haven't used cloud computing for number crunching for a long time, so I might be wrong, but the last time I checked it was more cost effective to buy equivalent hardware than rent it from the main...
Forum: Hardware 2021-04-28, 16:07
Replies: 77
Views: 9,121
Posted By a1call
Precisely so, I have used a CPU-less FPGA in a...

Precisely so,
I have used a CPU-less FPGA in a past job to design a NDT module.
I have this way-on-the-backburner/dream project to create a module that would perform arbitrary-precision...
Forum: Miscellaneous Math 2021-04-19, 03:10
Replies: 26
Views: 670
Posted By a1call
Here is an update to the output in Post number 4:...

Here is an update to the output in Post number 4:


M2
M3
M5
M7
M13
M17
M19
Forum: Miscellaneous Math 2021-04-18, 11:43
Replies: 26
Views: 670
Posted By a1call
You will get the same results from Wolfram Alpha:...

You will get the same results from Wolfram Alpha:


https://www.wolframalpha.com/input/?i=X%5E2+%3D+19+mod+9

https://www.wolframalpha.com/input/?i=X%5E2+%3D+35+mod+9
Forum: Miscellaneous Math 2021-04-18, 07:21
Replies: 26
Views: 670
Posted By a1call
25 is coprime to 9 but it does not pass the...

25 is coprime to 9 but it does not pass the test::smile:


qfbprimeform(9, 25)
*** at top-level: qfbprimeform(9,25)
*** ^------------------
*** qfbprimeform: not a prime...
Forum: Miscellaneous Math 2021-04-18, 06:41
Replies: 26
Views: 670
Posted By a1call
Do you mean every Prime-Number? ...

Do you mean every Prime-Number?

qfbprimeform(9, 19)
%3 = Qfb(19, 3, 0, 0.E-38)
(02:38) gp >
(02:38) gp >
(02:38) gp > qfbprimeform(9, 15)
*** at top-level: qfbprimeform(9,15)
*** ...
Forum: Miscellaneous Math 2021-04-18, 05:47
Replies: 26
Views: 670
Posted By a1call
ETA IV, Please ignore ETA III, M11 passes with...

ETA IV, Please ignore ETA III, M11 passes with 121, but not with 9.:smile:
Forum: Miscellaneous Math 2021-04-18, 04:43
Replies: 26
Views: 670
Posted By a1call
A PARI-GP version. I find it quite...

A PARI-GP version.

I find it quite interesting. Well done, LarsNet!





\\DXT-100-A
Forum: Lounge 2021-04-13, 16:13
Replies: 1,364
Views: 121,432
Posted By a1call
You are correct, it does not compute....

You are correct, it does not compute. Blood-thinners usually cause bleeding which is the opposite of a blood-clot. They are generally given to people at risk of getting blood-clots. it is...
Forum: Software 2021-04-11, 20:33
Replies: 12
Views: 396
Posted By a1call
Could throttling due to excessive heat be the...

Could throttling due to excessive heat be the reason for significant increased timings per iterations?
Do the CPU'S maintain their temperature when all cores are utilized?
Forum: Software 2021-04-11, 18:58
Replies: 12
Views: 396
Posted By a1call
This may or may not work, but I would setup a...

This may or may not work, but I would setup a virtual machine and run the program in there. I assume you will be able to pool all the cores into a single virtual CPU that way.
Others might correct...
Forum: Homework Help 2021-04-11, 16:43
Replies: 37
Views: 1,904
Posted By a1call
I'm afraid you are giving me too much credit for...

I'm afraid you are giving me too much credit for being able to do arithmetic in my head. I actually used Pari and specifically remember getting 2 as the valuation. I can only assume that it must have...
Forum: Homework Help 2021-04-10, 02:02
Replies: 37
Views: 1,904
Posted By a1call
Thank you for the correcting my mistake...

Thank you for the correcting my mistake charybdis.


Somehow I erred at computing the valuation(OP-Number-1,2) as 2 rather than 3.
In the integer field if valuation(n-1,2) =n' for any positive...
Forum: Homework Help 2021-04-09, 22:50
Replies: 37
Views: 1,904
Posted By a1call
ETA III You can also be sure that at least one of...

ETA III You can also be sure that at least one of the prime factors of OP-Number will be of the form 4*n+1 where n is an odd integer.
Forum: Homework Help 2021-04-09, 21:44
Replies: 37
Views: 1,904
Posted By a1call
33765749444723236975938383549571694531728722961303...

33765749444723236975938383549571694531728722961303548619829414070181324100^2+1
= 6811381392746490569 x ...
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