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Forum: And now for something completely different 2021-05-12, 13:02
Replies: 6
Views: 62
Posted By Dr Sardonicus
As I understand it, "PRP" is used for a number...

As I understand it, "PRP" is used for a number which does not test as composite by a given compositeness test (Fermat, Euler, Miller-Rabin, Lucas, BPSW, what have you) but whose nature (prime or...
Forum: Lounge 2021-05-12, 12:38
Replies: 5
Views: 181
Posted By Dr Sardonicus
I note your query does not specify a country. ...

I note your query does not specify a country. I'm not sure what "bears the exact full name" means. There are people on Facebook who go by that name.

Similar first names Marion, Marvin, Martin. ...
Forum: And now for something completely different 2021-05-12, 12:02
Replies: 60
Views: 2,826
Posted By Dr Sardonicus
As previously mentioned in this post...

As previously mentioned in this post (https://www.mersenneforum.org/showpost.php?p=576356&postcount=11), the Details section on this page (https://www.kurtbeschorner.de/#rprimes), which Batalov...
Forum: Soap Box 2021-05-12, 00:07
Replies: 708
Views: 54,782
Posted By Dr Sardonicus
Following up on this post...

Following up on this post (https://www.mersenneforum.org/showpost.php?p=569414&postcount=706)...

Judge dismisses NRA bankruptcy case in blow to gun group...
Forum: Lounge 2021-05-11, 23:50
Replies: 1,722
RIP
Views: 156,281
Posted By Dr Sardonicus
Norman Lloyd...

Norman Lloyd (https://apnews.com/article/tv-norman-lloyd-entertainment-arts-and-entertainment-92e186becb7446dde5615bef2f900411)
Forum: Miscellaneous Math 2021-05-11, 14:57
Replies: 15
Views: 566
Posted By Dr Sardonicus
You're not a crackpot in my book. For one thing,...

You're not a crackpot in my book. For one thing, your method is theoretically sound. More importantly, from the crackpottery standpoint, you accept the fact that the method you used is already...
Forum: Soap Box 2021-05-10, 00:32
Replies: 48
Views: 5,822
Posted By Dr Sardonicus
The reference to "good apples" and "bad apples"...

The reference to "good apples" and "bad apples" brought to mind a turn of phrase by Mike Royko in his 1971 book BOSS Richard J. Daley of Chicago. It suddenly occurred to me that I actually had a...
Forum: Soap Box 2021-05-09, 23:08
Replies: 22
Views: 1,070
Posted By Dr Sardonicus
Similar theme in the episode Je Souhaite...

Similar theme in the episode Je Souhaite (https://www.imdb.com/title/tt0751145/) of The X-files.

The Fisherman and His Wife (https://www.pitt.edu/~dash/grimm019.html) by the Brothers Grimm deals...
Forum: Lounge 2021-05-09, 21:42
Replies: 1,722
RIP
Views: 156,281
Posted By Dr Sardonicus
Helmut Jahn...

Helmut Jahn (https://apnews.com/article/dc-wire-europe-illinois-accidents-c328988ac2a4b60ab863c9c588aea05d)Oof. Bicyclists, here's a safety tip: Don't run stop signs. It really PO's motorists. ...
Forum: Miscellaneous Math 2021-05-09, 19:21
Replies: 15
Views: 566
Posted By Dr Sardonicus
Looks like a sieve to me. Sieving is useful to...

Looks like a sieve to me. Sieving is useful to eliminate composites with small prime factors from a candidate list, but as a standalone prime-proving method you would have to sieve out by all the...
Forum: Soap Box 2021-05-09, 16:27
Replies: 22
Views: 1,070
Posted By Dr Sardonicus
Taking "this" to mean a personality cult for a...

Taking "this" to mean a personality cult for a head of state, we are still seeing it today. Turkmenistan and the DPRK (North Korea) come immediately to mind. Here in the good ol' USA, the cult...
Forum: And now for something completely different 2021-05-09, 16:07
Replies: 60
Views: 2,826
Posted By Dr Sardonicus
I see that OEIS A004023 has been updated...

I see that OEIS A004023 has been updated accordingly.

Congratulations on a new record PRP!

:bow:

:beer2: :beer2: :beer2: :beer2:

:party:
Forum: Soap Box 2021-05-09, 13:30
Replies: 22
Views: 1,070
Posted By Dr Sardonicus
Trump's 'Big Lie' imperils Republicans who don't...

Trump's 'Big Lie' imperils Republicans who don't embrace it (https://apnews.com/article/elections-michael-pence-donald-trump-election-2020-government-and-politics-0c07947f9fd2b9911b3006f0fc128ffd)We...
Forum: Number Theory Discussion Group 2021-05-08, 13:37
Replies: 6
Views: 421
Posted By Dr Sardonicus
I forgot to point out that the thing is also...

I forgot to point out that the thing is also trivial when n = 1, y^2 = 0 (mod 1).

What I proved was that your given hypotheses imply that

2*n - 1 divides 4*y^2 + 1 if n > 1

2*|n| + 1 divides...
Forum: Soap Box 2021-05-08, 02:45
Replies: 48
Views: 5,822
Posted By Dr Sardonicus
He gave the gun to the kid and ran. The...

He gave the gun to the kid and ran. The following is from the Chicago Tribune, which I believe qualifies as "mainstream media."

Prosecutors detail the night police shot Adam Toledo, 13, during...
Forum: Number Theory Discussion Group 2021-05-08, 02:18
Replies: 6
Views: 421
Posted By Dr Sardonicus
(y^2 - (n^2 - n))/(2*n - 1) is an integer when ...

(y^2 - (n^2 - n))/(2*n - 1) is an integer when

n^2 - n == y^2 (mod 2*n-1)

4*n^2 - 4*n == 4*y^2 (mod 2*n - 1) †

(2*n - 1)^2 == 4*y^2 +1 (mod 2*n - 1)

4*y^2 + 1 == 0 (mod 2*n - 1); that is,
Forum: Soap Box 2021-05-07, 15:43
Replies: 338
Views: 38,676
Posted By Dr Sardonicus
Meanwhile, back in the real world... UK...

Meanwhile, back in the real world...

UK ships prepare to leave Jersey after dispute over fishing rights (https://www.bbc.com/news/uk-57016222)
Forum: Soap Box 2021-05-07, 13:29
Replies: 182
Views: 30,106
Posted By Dr Sardonicus
Hmm, sounds like the Ukrainian authorities are...

Hmm, sounds like the Ukrainian authorities are engaging in what we in the good ol' USA call a "shakedown."

I imagine the officials responsible could simply claim they "mistook" valid UK excise...
Forum: Lounge 2021-05-07, 13:12
Replies: 221
Views: 36,001
Posted By Dr Sardonicus
Flock of giant California condors trashes woman's...

Flock of giant California condors trashes woman's home (https://apnews.com/article/california-condors-10c57295075a7ca1d33a88d759bfcc52)
Forum: Soap Box 2021-05-07, 12:06
Replies: 338
Views: 38,676
Posted By Dr Sardonicus
Yes, even in the good ol' USA it was called the...

Yes, even in the good ol' USA it was called the "Norman conquest" in history classes when I went to school.

Even so, the context of your "We still haven't forgotten 1066 and all that" clearly...
Forum: Lounge 2021-05-07, 01:40
Replies: 67
Views: 12,895
Posted By Dr Sardonicus
You might want to look at The 2021 Periodical...

You might want to look at The 2021 Periodical Cicada Emergence (Brood X) (https://cicadas.uconn.edu/) (which also has links to "stragglers"). The striking thing about periodical cicadas is the...
Forum: Lounge 2021-05-06, 22:26
Replies: 277
Views: 36,820
Posted By Dr Sardonicus
An AP news story from Maine, possibly related to...

An AP news story from Maine, possibly related to the subject of this thread, may be found here (https://apnews.com/article/maine-government-and-politics-c05ec4fc0b20368537d9657b9128234a).
Forum: Soap Box 2021-05-06, 20:29
Replies: 338
Views: 38,676
Posted By Dr Sardonicus
You checked here...

You checked here (https://www.mersenneforum.org/showpost.php?p=577800&postcount=316), no doubt.
Forum: Soap Box 2021-05-06, 13:43
Replies: 338
Views: 38,676
Posted By Dr Sardonicus
:missingteeth: :missingteeth: :missingteeth:...

:missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth: :missingteeth:...
Forum: Lounge 2021-05-06, 12:45
Replies: 221
Views: 36,001
Posted By Dr Sardonicus
Rare hummingbird's stop in LaBagh Woods is a...

Rare hummingbird's stop in LaBagh Woods is a once-in-a-lifetime sight for Chicago birders...
Showing results 1 to 25 of 1000

 
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