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Forum: MattcAnderson 2021-06-18, 20:43
Replies: 5
Views: 202
Posted By a1call
Of course what I failed to realize that if set of...

Of course what I failed to realize that if set of coins a & b has a unique solution and b & c another sand a & c yet another, then the more than 2 coins variations can't be unique unless the total...
Forum: MattcAnderson 2021-06-18, 14:34
Replies: 5
Views: 202
Posted By a1call
An interesting question for me is if for the 2...

An interesting question for me is if for the 2 coprime varieties (neither bring 1), all solutions are unique or not.
I assume the answer is yes and a counter example if present should be easy to...
Forum: MattcAnderson 2021-06-18, 04:07
Replies: 5
Views: 202
Posted By a1call
:goodposting:

:goodposting:
Forum: Lounge 2021-06-13, 17:37
Replies: 25
Views: 622
Posted By a1call
Inn order to be able to appreciate abstract art,...

Inn order to be able to appreciate abstract art, you have to stop thinking like a programmer/mathematician and pretend-to-think like an art critic instead. :smile:

You might very well make much...
Forum: Lounge 2021-06-12, 23:55
Replies: 25
Views: 622
Posted By a1call
As dumb as the buyer may (or may not) be, with...

As dumb as the buyer may (or may not) be, with all the worldwide attention, there is a very good chance he can recover his investment many-times-over by selling his Certificate-of-Authenticity (and...
Forum: Lounge 2021-06-12, 23:16
Replies: 25
Views: 622
Posted By a1call
As we have discussed before I am of the advanced...

As we have discussed before I am of the advanced enough age to remember learning and using that command (except it was NOOP in those days) on a computer with 16 registers and occupying a whole...
Forum: Lounge 2021-06-12, 16:55
Replies: 25
Views: 622
Posted By a1call
Here are a few examples/hints to the real-value...

Here are a few examples/hints to the real-value of Money. No doubt there are numerous others.

I still maintain that $18,300 is well below the market-value for such an ingenious work-of-art. :smile:
Forum: Lounge 2021-06-11, 23:05
Replies: 25
Views: 622
Posted By a1call
Here is essentially the same news story from a...

Here is essentially the same news story from a different perspective: :smile:

...
Forum: Lounge 2021-06-11, 22:58
Replies: 25
Views: 622
Posted By a1call
Would you take cash for them? Why? Why...

Would you take cash for them?

Why?

Why do you consider money of any value?

What happens if you take your cash to the store to get some necessities and the store owner decides there and then...
Forum: Lounge 2021-06-11, 21:34
Replies: 25
Views: 622
Posted By a1call
I think it is more alive than you might think. ...

I think it is more alive than you might think.
How different is it, from the concept of getting something as valuable as say a car for something as worthless and artificially-valued piece(s) of...
Forum: Lounge 2021-06-11, 21:27
Replies: 25
Views: 622
Posted By a1call
Am I the only one who thinks this is a bargain?

I am sure I am in a very small minority here.
How much would you pay for similar works-of-art/concepts?
To me it's rewarding the genius. You can not put a price on that.:smile:
...
Forum: Prime Gap Searches 2021-06-03, 22:55
Replies: 18
Views: 1,343
Posted By a1call
https://www.forbes.com/sites/alexknapp/2011/11/17/...

https://www.forbes.com/sites/alexknapp/2011/11/17/the-seduction-of-the-exponential-curve/
Forum: Prime Gap Searches 2021-06-03, 20:59
Replies: 18
Views: 1,343
Posted By a1call
Thank you very much for the correction :smile: ...

Thank you very much for the correction :smile:


2^64*0.3 micrometers = 5534023222112865484.8 micrometers = 5534023222112.8654848 m = 5534023222.1128654848 km =...
Forum: Miscellaneous Math 2021-06-03, 14:16
Replies: 30
Views: 991
Posted By a1call
Acknowledged with many thanks Nick. I was hoping...

Acknowledged with many thanks Nick. I was hoping to get a name for the concept.
Forum: Miscellaneous Math 2021-06-02, 13:33
Replies: 30
Views: 991
Posted By a1call
Tangent but at least partially relevant: x^2...

Tangent but at least partially relevant:

x^2 = x mod n
will only have integer solutions greater than 1 if and only if n is not a Prime or Prime-Power. In other words if n is a...
Forum: Prime Gap Searches 2021-05-31, 04:02
Replies: 18
Views: 1,343
Posted By a1call
If you started drawing 10 short lines/notches...

If you started drawing 10 short lines/notches every second 24/7, it would take you well over 7 billion years to finish drawing 2^64 lines.:smile:
Light travels 0.3 Micrometers (1/1000 of a...
Forum: Lounge 2021-05-27, 16:17
Replies: 16
Views: 589
Posted By a1call
What about the Deep-ET-web.:smile: ...

What about the Deep-ET-web.:smile:

https://en.wikipedia.org/wiki/Starlink

https://www.starlink.com/
...
Forum: Lounge 2021-05-25, 11:19
Replies: 16
Views: 589
Posted By a1call
I think this is relevant: ...

I think this is relevant:



https://www.kevin-indig.com/blog/googles-index-is-smaller-than-we-think-and-might-not-grow-at-all/
Google caches a copy of the pages it indexes and the largest page...
Forum: Miscellaneous Math 2021-05-20, 02:17
Replies: 33
Views: 1,283
Posted By a1call
I don't think things are as gloomy as they seem....

I don't think things are as gloomy as they seem. Probably the only obstacle to faster computers is a lack of market/general-use. 128 bits computing is overdue in my opinion. And we don't have to stop...
Forum: Miscellaneous Math 2021-05-20, 01:21
Replies: 33
Views: 1,283
Posted By a1call
I am reminded of this thread::smile: ...

I am reminded of this thread::smile:

https://www.mersenneforum.org/showpost.php?p=475537&postcount=196

BTW It seems to me that google is not indexing this site in an exhaustive manner.
Forum: Lounge 2021-05-15, 01:57
Replies: 22
Views: 1,114
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: 22
Views: 1,114
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: 229
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: 229
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: 229
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...
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