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Forum: Science & Technology 2021-04-10, 20:55
Replies: 2,886
Views: 215,667
Posted By Till
Is it me or is that article completely dumb? No...

Is it me or is that article completely dumb? No reference to any scientfic paper at all if I didn't miss it. (and forget about the "information" delivered by the article itself)
Forum: Factoring 2021-04-05, 09:13
Replies: 13
Views: 2,620
Posted By Till
In a slightly different context, this issue is...

In a slightly different context, this issue is mentioned as well at the end of §3 and start of §4 of https://hal.inria.fr/hal-02098114/document. They switched to another representation that needs...
Forum: YAFU 2021-03-25, 21:23
Replies: 62
Views: 27,654
Posted By Till
Thanks for the links. From...

Thanks for the links. From https://www.mersenneforum.org/showpost.php?p=54147&postcount=33:
"We used a hardware RNG with calls to BSAFE to generate the primes"
The kind of calls to BSAFE would be...
Forum: YAFU 2021-03-24, 21:18
Replies: 62
Views: 27,654
Posted By Till
Maybe "safe" or "strong" primes may have played a...

Maybe "safe" or "strong" primes may have played a role nonetheless? https://en.wikipedia.org/wiki/Safe_and_Sophie_Germain_primes#Cryptography



Admittedly, I did not read many posts where RDS...
Forum: YAFU 2021-03-22, 18:57
Replies: 62
Views: 27,654
Posted By Till
Thanks for the data and congrats, great...

Thanks for the data and congrats, great improvements really!
Forum: YAFU 2021-03-21, 22:04
Replies: 62
Views: 27,654
Posted By Till
Amazing performance (for a C-100, no matter if 2...

Amazing performance (for a C-100, no matter if 2 or 3 large primes). Can you tell how much better your current version is on that number compared to YaFU 1.34.5? Just for fun maybe compare RSA-100,...
Forum: Science & Technology 2021-03-06, 19:49
Replies: 2,886
Views: 215,667
Posted By Till
My pleasure. I wonder if this belongs to a more...

My pleasure. I wonder if this belongs to a more specific thread, since it's not only science but certainly math and seems to be related to number theory. (don't dare to classify it any further)
Forum: Science & Technology 2021-03-06, 19:24
Replies: 2,886
Views: 215,667
Posted By Till
A new paper on the Langlands program by Laurent...

A new paper on the Langlands program by Laurent Fargues and Peter Scholze:
https://arxiv.org/abs/2102.13459

Some comments:

https://www.math.columbia.edu/~woit/wordpress/?p=12207

...
Forum: Science & Technology 2021-02-17, 17:18
Replies: 88
Views: 7,812
Posted By Till
:goodposting:

:goodposting:
Forum: Lounge 2021-02-09, 18:50
Replies: 107
Views: 5,032
Posted By Till
In my region, it all turned out fine. As...

In my region, it all turned out fine.

As predicted we got a nice snow surface of ~20 cm in average (of course because of the wind it is 5cm in some places and 50cm in others). No ice rain except...
Forum: Lounge 2021-02-06, 20:55
Replies: 107
Views: 5,032
Posted By Till
Interestingly, in northern Germany, 1978 featured...

Interestingly, in northern Germany, 1978 featured the hardest winter storm remembered since then, too. See e.g. (german source)
...
Forum: Lounge 2021-02-06, 17:07
Replies: 107
Views: 5,032
Posted By Till
Quite impressive ;-) You meant 6...

Quite impressive ;-)




You meant 6 mm, right?
Forum: Lounge 2021-02-06, 15:46
Replies: 107
Views: 5,032
Posted By Till
Dr. Sardonicus did. The map seems to...

Dr. Sardonicus did.



The map seems to get updated regularly.


Edit: I didn't update before posting, sorry.
Forum: Lounge 2021-02-06, 15:32
Replies: 107
Views: 5,032
Posted By Till
I am living on the northern edge of the "violet...

I am living on the northern edge of the "violet zone". The weather forecast looks interesting but not catastrophical. Probably we'll get around 20 cm snow by tomorrow. The temperatures may drop to...
Forum: ONeil 2021-01-04, 22:17
Replies: 86
Views: 3,115
Posted By Till
Do you remember which type of cancer? I just...

Do you remember which type of cancer?
I just had a friend dying of https://en.wikipedia.org/wiki/Glioblastoma in december. I thought that is the most aggressive brain cancer and didn't hear of any...
Forum: Analysis & Analytic Number Theory 2020-10-11, 18:11
Replies: 8
Views: 7,592
Posted By Till
For completeness I'ld like to add that it's more...

For completeness I'ld like to add that it's more than counting.

For any n>2, we can obtain the values of A004215 (natural numbers representable by 4 squares but no less) < 2^n from the set of...
Forum: Analysis & Analytic Number Theory 2020-09-21, 16:27
Replies: 8
Views: 7,592
Posted By Till
In my opinion, any cross-reference in OEIS is a...

In my opinion, any cross-reference in OEIS is a big help.
Forum: Analysis & Analytic Number Theory 2020-09-21, 14:44
Replies: 8
Views: 7,592
Posted By Till
Thanks for your analysis. I submitted the...

Thanks for your analysis. I submitted the conjecture to OEIS.
Forum: Analysis & Analytic Number Theory 2020-09-20, 16:38
Replies: 8
Views: 7,592
Posted By Till
Sorry, I made a little mistake: It is...

Sorry, I made a little mistake: It is http://oeis.org/A004215, not A004015...
Forum: Analysis & Analytic Number Theory 2020-09-20, 12:23
Replies: 8
Views: 7,592
Posted By Till
Quadratic residue counts related to four squares representation counts

Hi all,
today I found something curious...

Let X(m) be the number of distinct quadratic residues mod m. (A023105 for m=2^n)
Let Y(m) be the number of n < m that can be expressed as a sum of 4...
Forum: Puzzles 2020-09-03, 15:41
Replies: 33
Views: 9,425
Posted By Till
I see... Compare that to...

I see... Compare that to http://www.research.ibm.com/haifa/ponderthis/challenges/September2020.html


Just wondering how long it takes...
Forum: Puzzles 2020-09-03, 15:12
Replies: 33
Views: 9,425
Posted By Till
Guys, you are worrying me... Shouldn't the...

Guys, you are worrying me...
Shouldn't the permutation (0 2) lead to the rules

2 -> 0
1 -> 1
0 -> 2
instead of

2 -> 1
1 -> 0
Forum: Puzzles 2020-08-31, 14:20
Replies: 33
Views: 9,425
Posted By Till
The challenge description is buggy, or not?

The challenge description is buggy, or not?
Forum: Miscellaneous Math 2020-08-27, 16:56
Replies: 57
Views: 14,569
Posted By Till
Yes, one should not name stuff after himself. ...

Yes, one should not name stuff after himself.
You should have one or two friends that do that for you :razz::razz:

Apart from that: I didn't look at the paper but the implementation I got looks...
Forum: Miscellaneous Math 2020-08-26, 19:10
Replies: 57
Views: 14,569
Posted By Till
I have been provided with a Java implementation...

I have been provided with a Java implementation of this sieve a couple of months ago. You can find it here:...
Showing results 1 to 25 of 434

 
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