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Forum: And now for something completely different 2021-04-23, 00:47
Replies: 29
Views: 947
Posted By Dr Sardonicus
I am 10.5 months into certification -- I now...

I am 10.5 months into certification -- I now guess it will be done by Christmas :smile:[/QUOTE]I was wondering whether anyone was trying to prove it prime. I decided getting enough factors of N-1...
Forum: Soap Box 2021-04-23, 00:33
Replies: 45
Views: 5,044
Posted By Dr Sardonicus
This twitter post...

This twitter post (https://twitter.com/trifectablog/status/1384696131226152962) in a thread about Tucker Carlson's unhinged reaction to the verdict in the Derek Chauvin case had me in stitches...
Forum: Lounge 2021-04-22, 16:33
Replies: 230
Views: 24,713
Posted By Dr Sardonicus
April 22, 1970 was the first Earth Day. ...

April 22, 1970 was the first Earth Day.

Happy Earth Day to you...
Forum: Lounge 2021-04-22, 12:43
Replies: 1,363
Views: 87,518
Posted By Dr Sardonicus
Super nit-pick: The contraction "it's" can also...

Super nit-pick: The contraction "it's" can also mean "it has," as in "It's been a long time since I've used a slide rule."

At least the mistaken use of "it's" as a possessive is in line with the...
Forum: Miscellaneous Math 2021-04-22, 12:24
Replies: 22
Views: 437
Posted By Dr Sardonicus
Arnault, F. Rabin-Miller Primality Test:...

Arnault, F. Rabin-Miller Primality Test: Composite Numbers Which Pass It. Math. Comput. 64, 355-361, 1995

gives a method for constructing counterexamples that "fool" Rabin-Miller. He gives a...
Forum: Lounge 2021-04-21, 15:09
Replies: 1,363
Views: 87,518
Posted By Dr Sardonicus
One of my pet peeves is people focusing on some...

One of my pet peeves is people focusing on some bit of grammatical nitpickery, rather than the topic under discussion.

That said, it appears the indicated usage of "criteria" is inconsistent with...
Forum: And now for something completely different 2021-04-21, 14:48
Replies: 29
Views: 947
Posted By Dr Sardonicus
If you click on an interval in the Details...

If you click on an interval in the Details section on the page you link to (https://www.kurtbeschorner.de/#rprimes), you get all the results - factors or PRP test residues.

It appears that there's...
Forum: Lounge 2021-04-21, 13:32
Replies: 1,363
Views: 87,518
Posted By Dr Sardonicus
Is this the new Brexit?[/QUOTE]My (admittedly...

Is this the new Brexit?[/QUOTE]My (admittedly very limited) understanding is that under the current setup, teams are selected for the Champions League based on recent years' performances. However,...
Forum: And now for something completely different 2021-04-21, 00:41
Replies: 29
Views: 947
Posted By Dr Sardonicus
Wow, heck of a find! Not a whole lot of...

Wow, heck of a find! Not a whole lot of more-than-million-decimal-digit PRPs known.

Hmm. OEIS lists Rp exponents as 2, 19, 23, 317, 1031, 49081, 86453, 109297, 270343, ...

and gives 2007 for...
Forum: Lounge 2021-04-21, 00:19
Replies: 1,357
Views: 113,913
Posted By Dr Sardonicus
Not enough...Oh, I thought it was funnier than...

Not enough...Oh, I thought it was funnier than all get-out, a COVID denier getting it. Not to mention ironic.

It seems R's are quite averse to getting vaccinated, despite their Orange God pushing...
Forum: Lounge 2021-04-21, 00:08
Replies: 1,363
Views: 87,518
Posted By Dr Sardonicus
The fans weigh in...

I heard about this recently, and it sounded like a done deal. Apparently not!

Super League near collapse as the 6 English clubs withdraw...
Forum: Soap Box 2021-04-20, 21:09
Replies: 45
Views: 5,044
Posted By Dr Sardonicus
Apparently the jury deliberated a bit over ten...

Apparently the jury deliberated a bit over ten hours over two days. That's not long at all, especially in a murder case with lesser offenses to be considered.

So, as Uncwilly indicates, they...
Forum: Lounge 2021-04-20, 20:15
Replies: 1,357
Views: 113,913
Posted By Dr Sardonicus
Evolution in action.[/QUOTE]I don't understand. ...

Evolution in action.[/QUOTE]I don't understand. In the second place, it doesn't look like he's going to die from it. In the first place, he's already fathered kids - by his first wife, by his...
Forum: Soap Box 2021-04-20, 20:03
Replies: 45
Views: 5,044
Posted By Dr Sardonicus
The jury has reached a verdict in the Derek...

The jury has reached a verdict in the Derek Chauvin case. The verdict is scheduled to be read in half an hour to an hour from now.

:popcorn:
Forum: Lounge 2021-04-20, 18:48
Replies: 198
Views: 33,234
Posted By Dr Sardonicus
Just for my own amusement, I measured the n-th...

Just for my own amusement, I measured the n-th gap between consecutive known Mersenne prime exponents e as (en+1 - en)/en and ranked them from largest to smallest. The gap between 127 and 521 thus...
Forum: Lounge 2021-04-20, 18:06
Replies: 1,357
Views: 113,913
Posted By Dr Sardonicus
Ted Nugent, who once dismissed COVID-19, sickened...

Ted Nugent, who once dismissed COVID-19, sickened by virus (https://apnews.com/article/donald-trump-public-health-race-and-ethnicity-health-coronavirus-pandemic-585b21bb229c0049f2dec94927cc9789)
Forum: Science & Technology 2021-04-20, 16:25
Replies: 2,888
Views: 218,622
Posted By Dr Sardonicus
The lack of a citation is really lame. The...

The lack of a citation is really lame.

The actual paper is in PHYSICS ESSAYS 33, 4 (2020)...
Forum: Lounge 2021-04-20, 11:59
Replies: 1,711
RIP
Views: 151,262
Posted By Dr Sardonicus
Walter Mondale, Carter's vice president, dies at...

Walter Mondale, Carter's vice president, dies at 93 (https://apnews.com/article/top-news-government-and-politics-walter-mondale-d2dd4186374696734c88f60221d345f5)
Forum: Miscellaneous Math 2021-04-19, 15:00
Replies: 9
Views: 317
Posted By Dr Sardonicus
No. In the words of Joe Biden, "Aw, c'mon,...

No.

In the words of Joe Biden, "Aw, c'mon, man!" What is the definition of multiplicative order mod p?

EDIT: Even better, what does the theorem in the thread title tell you if p > 2?
Forum: Lounge 2021-04-19, 12:40
Replies: 1,091
Views: 78,172
Posted By Dr Sardonicus
NASA's Mars helicopter takes flight, 1st for...

NASA's Mars helicopter takes flight, 1st for another planet (https://apnews.com/article/technology-science-planets-mars-1f39e9b9c56ad3bbe3634aeabfa4abaf)
Forum: Soap Box 2021-04-19, 12:00
Replies: 366
Views: 41,755
Posted By Dr Sardonicus
Authorities say no one was driving Tesla before...

Authorities say no one was driving Tesla before deadly crash (https://apnews.com/article/houston-3f5358a51022167735c50bf0f4d74aef)
Forum: Lounge 2021-04-18, 14:04
Replies: 1,711
RIP
Views: 151,262
Posted By Dr Sardonicus
Retired Ohio sheriff and tiny K-9 partner die the...

Retired Ohio sheriff and tiny K-9 partner die the same day (https://apnews.com/article/us-news-police-cleveland-ohio-dogs-f6f5f715231d7928e4f652a3cd46e9ec)
Forum: Miscellaneous Math 2021-04-18, 13:31
Replies: 26
Views: 550
Posted By Dr Sardonicus
Thank you for explaining what the program...

Thank you for explaining what the program actually does.

The usage of "quadratic residue" in the thread title is completely wrong. The residue a (mod n) is a quadratic residue if x^2 == a (mod n)...
Forum: Soap Box 2021-04-17, 13:10
Replies: 45
Views: 5,044
Posted By Dr Sardonicus
I have wondered, from time to time, whether...

I have wondered, from time to time, whether police training manuals have an analogous chapter on "Contact with Black Motorists" or "Contact with Non-White Subjects."
Forum: Lounge 2021-04-17, 02:24
Replies: 61
Views: 11,964
Posted By Dr Sardonicus
On Monday April 12, I saw my first large...

On Monday April 12, I saw my first large butterfly of the year, a Papilio glaucus - Eastern Tiger Swallowtail, a large yellow butterfly with black stripes on its wings.

Today (Friday April 16),...
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