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Forum: Number Theory Discussion Group 2022-05-20, 00:54
Replies: 14
Views: 812
Posted By Dr Sardonicus
Drop the exclusion of primes. Say...

Drop the exclusion of primes. Say "representations" rather than "compositions". The meaning of "different" may be different from what you think it is.Happy googling!
Forum: Lounge 2022-05-20, 00:43
Replies: 1,173
Views: 115,619
Posted By Dr Sardonicus
Boeing's Starliner capsule successfully launched...

Boeing's Starliner capsule successfully launched at 6:54 EDT (2254 GMT) May 19.

Starliner is scheduled to dock with the ISS around 7 p.m. EDT (2300 GMT) on Friday, May 20.
Forum: Soap Box 2022-05-19, 00:54
Replies: 107
Views: 12,514
Posted By Dr Sardonicus
"A marketing term." That's the problem right...

"A marketing term." That's the problem right there.

Bill Hicks had the right idea about advertising and marketing...
Forum: Lounge 2022-05-18, 13:26
Replies: 1,689
Views: 192,386
Posted By Dr Sardonicus
The BBC has an article on excess deaths, etc....

The BBC has an article on excess deaths, etc. since COVID showed up here (https://www.bbc.com/news/61333847).
Forum: Soap Box 2022-05-18, 12:02
Replies: 905
Views: 85,478
Posted By Dr Sardonicus
That lends itself to 2 different ways to win a...

That lends itself to 2 different ways to win a Darwin Award.[/QUOTE]Heck of a way to top off a dinner party...
Forum: Lounge 2022-05-18, 11:25
Replies: 1,689
Views: 192,386
Posted By Dr Sardonicus
The Great Successor convened an emergency meeting...

The Great Successor convened an emergency meeting of the Politburo. He screamed at them all for bungling the situation, and ordered them to do better.

But they were unable to comply, because they...
Forum: Miscellaneous Math 2022-05-18, 02:31
Replies: 3
Views: 282
Posted By Dr Sardonicus
It occurred to me to wonder whether there is a k...

It occurred to me to wonder whether there is a k for which all k-digit endings of 2^n (with k > 9 and 2^n > 10^(k-1) of course) contain all 10 decimal digits.

I suspect there is, but don't have a...
Forum: Lounge 2022-05-17, 14:26
Replies: 1,689
Views: 192,386
Posted By Dr Sardonicus
COVID has killed a million people here in the...

COVID has killed a million people here in the good ol' USA (official cause of death as listed on death certificates).

How many may have died of other things, with COVID as a contributing factor,...
Forum: Soap Box 2022-05-17, 13:12
Replies: 905
Views: 85,478
Posted By Dr Sardonicus
It wasn't a good guy with a gun who stopped the...

It wasn't a good guy with a gun who stopped the shooter. It was a hero.
Forum: Soap Box 2022-05-15, 12:46
Replies: 905
Views: 85,478
Posted By Dr Sardonicus
Another racist with a manifesto. Tucker...

Another racist with a manifesto.

Tucker Carlson must be so happy.
Forum: Miscellaneous Math 2022-05-14, 16:50
Replies: 557
Views: 64,380
Posted By Dr Sardonicus
For PRP make that a 100% chance - at least, until...

For PRP make that a 100% chance - at least, until your pet ranges are in the wavefront. I reckon that's going to be a while. If you want to do a PRP on an exponent of your choice (after first doing...
Forum: Factoring 2022-05-14, 13:28
Replies: 17
Views: 595
Posted By Dr Sardonicus
If I understand the problem correctly, you could...

If I understand the problem correctly, you could (in theory) form your "permuted" integers as follows: Form a vector of length n whose i-th entry is i. Convert the entries to strings (of decimal...
Forum: Astronomy 2022-05-13, 01:33
Replies: 92
Views: 12,945
Posted By Dr Sardonicus
I noticed the following image comparison of the...

I noticed the following image comparison of the Large Magellanic Cloud in recent news reports. I leave it to interested readers to track down official accounts.
Forum: chalsall 2022-05-12, 02:05
Replies: 24
Views: 821
Posted By Dr Sardonicus
To many R's in the good ol' USA, the answer to...

To many R's in the good ol' USA, the answer to that last question is "Yes." Their Party. As I have said before, Soviet-style "democracy."
Forum: chalsall 2022-05-11, 11:41
Replies: 24
Views: 821
Posted By Dr Sardonicus
I have mentioned before, e.g. here...

I have mentioned before, e.g. here (https://www.mersenneforum.org/showpost.php?p=568827&postcount=1414) that people have been getting brainwashed for decades. I would add Rush Limbaugh and other...
Forum: And now for something completely different 2022-05-10, 11:59
Replies: 4
Views: 94
Posted By Dr Sardonicus
If I understand correctly, your k-tuplets aren't...

If I understand correctly, your k-tuplets aren't just any admissible patterns (k-tuples), but are "maximally dense."
Forum: chalsall 2022-05-09, 12:07
Replies: 24
Views: 821
Posted By Dr Sardonicus
If I were making out a death certificate for the...

If I were making out a death certificate for the good ol' USA, I would put November 8, 2016 as the date of death. Manner of death, suicide.

On a number of occasions since then, I have said that...
Forum: Lounge 2022-05-09, 01:05
Replies: 1
Views: 79
Posted By Dr Sardonicus
Happy Mother's Day

On the first Mother's Day without her, I put a small portion of her ashes in a neighbor's garden she was fond of (with their approval). My sisters and I scattered small portions of her ashes in...
Forum: Number Theory Discussion Group 2022-05-08, 02:26
Replies: 14
Views: 812
Posted By Dr Sardonicus
A representation of a cofactor of a sum of two...

A representation of a cofactor of a sum of two squares can be found by finding the representations of the known factors and dividing out.

I find this easiest to do using the complex factors a +...
Forum: Number Theory Discussion Group 2022-05-07, 12:05
Replies: 14
Views: 812
Posted By Dr Sardonicus
If you want to know the decomposition(s) of a...

If you want to know the decomposition(s) of a composite number into a sum of two squares, in general you need to factor the number. You certainly need the factorization if you want to be sure of...
Forum: Miscellaneous Math 2022-05-06, 15:06
Replies: 11
Views: 517
Posted By Dr Sardonicus
Assuming a multinomial distribution with 32...

Assuming a multinomial distribution with 32 random variates X1, ... X32, each with probability 1/32, we have (https://mathworld.wolfram.com/MultinomialDistribution.html) for 46 trials that the mean...
Forum: Miscellaneous Math 2022-05-06, 13:40
Replies: 29
Views: 1,021
Posted By Dr Sardonicus
Well, my article...

Well, my article (https://docs.google.com/document/d/e/2PACX-1vQct6Hx-IkJd5-iIuDuOKkKdw2teGmmHW-P75MPaxqBXB37u0odFBml5rx0PoLa0odTyuW67N_vn96J/pub) has many examples of algebraic factorization...
Forum: Lounge 2022-05-06, 12:08
Replies: 18
Views: 3,193
Posted By Dr Sardonicus
"Really desperate" might be more accurate. ...

"Really desperate" might be more accurate.

It is commonly said of such situations, "If they're going to treat you this way when you're applying, just think how they'll treat you if you take the...
Forum: Miscellaneous Math 2022-05-06, 12:03
Replies: 29
Views: 1,021
Posted By Dr Sardonicus
Algebraic factorization can also prove...

Algebraic factorization can also prove compositeness.

If p and q are prime, 2^(p*q) - 1 has 2^p - 1 and 2^q - 1 as proper factors, regardless of whether these factors are prime. If p > 10^8 and q...
Forum: Miscellaneous Math 2022-05-06, 02:01
Replies: 11
Views: 517
Posted By Dr Sardonicus
Actually, the question hasn't even been asked...

Actually, the question hasn't even been asked yet. You haven't explained what the 32 options are.

You've apparently got some "random variable" which assumes the values 1 to 32. You seem to want...
Showing results 1 to 25 of 1000

 
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