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Search: Posts Made By: Dr Sardonicus
Forum: Lounge 2022-05-18, 02:31
Replies: 1
Views: 164
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: 1,686
Views: 191,788
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: 904
Views: 84,855
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: 904
Views: 84,855
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: 64,143
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: 16
Views: 507
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: 12,801
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: 785
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: 785
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: 87
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: 785
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: 70
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: 12
Views: 758
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: 12
Views: 758
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: 498
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: 994
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: 3,178
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: 994
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: 498
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...
Forum: Miscellaneous Math 2022-05-06, 01:26
Replies: 11
Views: 498
Posted By Dr Sardonicus
32 options for what, exactly?

32 options for what, exactly?
Forum: Lounge 2022-05-05, 14:59
Replies: 361
Views: 44,279
Posted By Dr Sardonicus
See this post...

See this post (https://www.mersenneforum.org/showpost.php?p=515825&postcount=128) for May 5 events.

I will add that the fact that Napoleon III decided to abandon Emperor Maximilian of Mexico soon...
Forum: Miscellaneous Math 2022-05-05, 14:30
Replies: 557
Views: 64,143
Posted By Dr Sardonicus
In other words, you don't really know that you...

In other words, you don't really know that you mistyped an exponent at all.

In any case, you now know how to avoid that problem in future.
Forum: Soap Box 2022-05-05, 14:19
Replies: 137
Views: 11,154
Posted By Dr Sardonicus
I wonder if that would apply to Greyhound,...

I wonder if that would apply to Greyhound, Amtrak, Delta, KCATA, St. Louis Missouri's Metrolink, MegaBus, etc.?[/QUOTE]Possibly, but I doubt it. However, it would apply to any person or organization...
Forum: Soap Box 2022-05-05, 12:52
Replies: 137
Views: 11,154
Posted By Dr Sardonicus
A State Representative in Missouri has introduced...

A State Representative in Missouri has introduced legislation allowing anyone to file suit against anyone (they suspect of) providing assistance to a Missouri resident seeking to leave the State in...
Forum: Miscellaneous Math 2022-05-04, 15:56
Replies: 557
Views: 64,143
Posted By Dr Sardonicus
I was intrigued by the OP's specificity in...

I was intrigued by the OP's specificity in claiming to have mistyped a single digit. Why only one - and how did he know? And, the OP has expressed interest in digit patterns (both in decimal and...
Showing results 1 to 25 of 1000

 
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