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Search: Posts Made By: Dr Sardonicus
Forum: Programming 2020-09-29, 16:02
Replies: 15
Views: 2,233
Posted By Dr Sardonicus
Try factoring the polynomial x^5 - 5.

Try factoring the polynomial x^5 - 5.
Forum: Soap Box 2020-09-29, 13:02
Replies: 1,284
Views: 53,110
Posted By Dr Sardonicus
So far, anyhow. Wait -- he actually paid his...

So far, anyhow. Wait -- he actually paid his lawyers?

I vaguely recall reading/hearing some time ago that he owed hundreds of millions to Deutsche Bank. And that Deutsche Bank was about the only...
Forum: enzocreti 2020-09-29, 12:12
Replies: 3
Views: 58
Posted By Dr Sardonicus
If x is a positive integer and f(x) = x*(x+1)^3...

If x is a positive integer and f(x) = x*(x+1)^3 - 1 is a prime p, then sigma(p) = p+1 = x*(x+1)^3.

Everyone knows there are infinitely many x for which f(x) is prime (Bunyakovsky and Bateman-Horn...
Forum: Factoring 2020-09-29, 11:33
Replies: 6
Views: 184
Posted By Dr Sardonicus
:missingteeth: For prime exponents p ending...

:missingteeth:

For prime exponents p ending in 1277 up to 2991277, the following Mp are known to be composite but no factors are known.

1277 No factors below 267
451277 No factors below 266...
Forum: Soap Box 2020-09-29, 02:23
Replies: 1,284
Views: 53,110
Posted By Dr Sardonicus
Tax avoidance isn't a crime, though it may...

Tax avoidance isn't a crime, though it may illustrate the maxim that the real scandal is what's legal. Tax evasion (e.g. knowingly failing to report income) is a crime. It's what put Al Capone in...
Forum: Lounge 2020-09-28, 18:53
Replies: 16
Views: 303
Posted By Dr Sardonicus
My guess is a missile facility of some sort. ...

My guess is a missile facility of some sort.

I did find some news articles like this one...
Forum: Lounge 2020-09-28, 12:47
Replies: 4,059
Views: 244,999
Posted By Dr Sardonicus
It seems you have to eat an awful lot of licorice...

It seems you have to eat an awful lot of licorice to ingest enough glycyrrhizic acid to cause trouble. Even my most alarmist book on poison plants doesn't mention licorice as a potentially poisonous...
Forum: Lounge 2020-09-27, 14:22
Replies: 69
Views: 4,583
Posted By Dr Sardonicus
Annabelle seems to be paying close attention to...

Annabelle seems to be paying close attention to what the photographer is doing.

FWIW I ran across what appears to be a better comparison between dog age and human age:

1) The first year of a...
Forum: Lounge 2020-09-27, 00:03
Replies: 921
Views: 48,087
Posted By Dr Sardonicus
Fair enough....maybe I was too harsh with...

Fair enough....maybe I was too harsh with Xilman[/QUOTE]To my mind, the reading glasses contraindicated blindness. They wouldn't serve any functional purpose, and glasses worn for cosmetic purposes...
Forum: Lounge 2020-09-26, 23:16
Replies: 1,095
Views: 47,607
Posted By Dr Sardonicus
Thanks for the link to the current CNN story. ...

Thanks for the link to the current CNN story.

However, you were obviously previously referring to something Fauci said earlier, since you said

The current story doesn't appear to be a joke. It...
Forum: Soap Box 2020-09-26, 12:54
Replies: 76
Views: 5,973
Posted By Dr Sardonicus
I don't see what this has to do with the XKCD on...

I don't see what this has to do with the XKCD on "evidence of alien life," which was prompted by the discovery of phosphine in the atmosphere of Venus. There is no truth to the rumor that the...
Forum: Analysis & Analytic Number Theory 2020-09-26, 12:11
Replies: 7
Views: 255
Posted By Dr Sardonicus
FWIW, the odd quadratic residues (mod 2^n) are...

FWIW, the odd quadratic residues (mod 2^n) are represented by the numbers congruent to 1 (mod 8) in [1, 2^n). This would appear to allow a counting of all quadratic residues similar to that for sums...
Forum: Soap Box 2020-09-26, 11:52
Replies: 330
Views: 18,308
Posted By Dr Sardonicus
If your coffee pot starts talking back, I would...

If your coffee pot starts talking back, I would say it's time to cut down a bit.

:paul: Back when Joe Dimaggio was shilling for "Mr. Coffee," there was a skit, on Saturday Night Live IIRC , with...
Forum: Lounge 2020-09-26, 11:28
Replies: 1,095
Views: 47,607
Posted By Dr Sardonicus
Could you please cite a source for "Will be...

Could you please cite a source for "Will be ready?"

As far as I can tell, what he actually said (back in April) was, (according to this report...
Forum: Soap Box 2020-09-25, 13:37
Replies: 168
Views: 11,247
Posted By Dr Sardonicus
Yet another reason to avoid food items with palm oil...

Not sure this is the right thread for this, but here goes:

Palm oil labor abuses linked to world's top brands, banks...
Forum: Lounge 2020-09-25, 11:49
Replies: 921
Views: 48,087
Posted By Dr Sardonicus
I would guess reshaping of the cornea (e.g....

I would guess reshaping of the cornea (e.g. LASIK), with cataract surgery a backup nominee. Whichever, I'm glad it went well!
Forum: Lounge 2020-09-25, 01:04
Replies: 69
Views: 4,583
Posted By Dr Sardonicus
When I was very young, we had a cat, likely a...

When I was very young, we had a cat, likely a "ginger" (the current photos of "ginger cats" match my hazy recollection). My parents had named him Rover. When I mentioned we had a cat named Rover, it...
Forum: Soap Box 2020-09-25, 00:47
Replies: 46
Views: 1,721
Posted By Dr Sardonicus
With Certified Mail (return receipt requested),...

With Certified Mail (return receipt requested), you can prove you sent a piece of mail to such-and-such an address on a specific date. This used to be a common way for people to document the fact...
Forum: Lounge 2020-09-25, 00:13
Replies: 46
Views: 1,976
Posted By Dr Sardonicus
This Monarch caterpillar looked to be almost...

This Monarch caterpillar looked to be almost ready to pupate. Then it fell victim to another insect, the Wheel Bug (Arilus cristatus), which gets its common name from the distinctive serrated ridge...
Forum: Miscellaneous Math 2020-09-24, 14:25
Replies: 55
Views: 1,684
Posted By Dr Sardonicus
I don't think you know what you're talking about.

I don't think you know what you're talking about.
Forum: Miscellaneous Math 2020-09-24, 14:10
Replies: 55
Views: 1,684
Posted By Dr Sardonicus
I don't know what the heck you're trying to say. ...

I don't know what the heck you're trying to say.

If you mean that (Δ/p) = -1 and (Δ/p) = +1 never occur simultaneously for a given Δ and p > 2, that is trivial.
Forum: Soap Box 2020-09-24, 13:51
Replies: 46
Views: 1,721
Posted By Dr Sardonicus
Breonna Taylor's ex-boyfriend was the target of...

Breonna Taylor's ex-boyfriend was the target of the investigation that led to the warrant. They claimed he was using her address to receive illegal drugs through the mail. "No-knock" search...
Forum: Miscellaneous Math 2020-09-24, 13:02
Replies: 55
Views: 1,684
Posted By Dr Sardonicus
I don't understand what you're asking. You are...

I don't understand what you're asking. You are looking at det(Ap), which is (det(A))p = (u-1)p.

We have A = [1,1;1,u], An = [an(u), bn(u); bn(u), cn(u)] for integer n. The polynomials a, b, c...
Forum: Lounge 2020-09-24, 00:31
Replies: 1,494
RIP
Views: 98,324
Posted By Dr Sardonicus
Gale Sayers...

Gale Sayers (https://www.chicagotribune.com/sports/bears/ct-gale-sayers-chicago-bears-died-20200923-4lv2wfxcangajgbcaiyiwbcnna-story.html)
Forum: Miscellaneous Math 2020-09-23, 12:04
Replies: 55
Views: 1,684
Posted By Dr Sardonicus
Of course it's a pseudoprime test. It involves a...

Of course it's a pseudoprime test. It involves a 2x2 matrix A, which has characteristic polynomial x^2 - (u+1)*x + u-1. The "if p is prime" results are easily proven using this polynomial, without...
Showing results 1 to 25 of 1000

 
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