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Forum: Lounge 2022-05-22, 13:51
Replies: 36
Views: 2,956
Posted By Dr Sardonicus
After mainly cloudy, dreary, chilly weather more...

After mainly cloudy, dreary, chilly weather more like late Winter than early to mid-Spring lasting through the first week of May, we went straight to Summer - temperatures in the upper 80's to over...
Forum: sweety439 2022-05-22, 02:57
Replies: 417
Views: 33,510
Posted By Dr Sardonicus
Assuming that n = X1X1 is a positive integer...

Assuming that n = X1X1 is a positive integer congruent to 1 (mod 12), then

12^{\varphi(n)}\;-\;1

is a base twelve palindromic number divisible by n. It may not be the smallest such.

Nil...
Forum: Lounge 2022-05-21, 16:40
Replies: 1,178
Views: 116,023
Posted By Dr Sardonicus
Return trip? I'm more worried about something...

Return trip? I'm more worried about something like the following:The Starliner craft has crashed into ISS. The station and Starliner have been destroyed. All crew lost.

The whole point of...
Forum: Miscellaneous Math 2022-05-21, 13:58
Replies: 8
Views: 452
Posted By Dr Sardonicus
No. The number of k-digit blocks of decimal...

No. The number of k-digit blocks of decimal digits is 10^k. The number of k-digit endings of 2^n, n ≥ k, is 4*5^(k-1). (4*5^(k-1))/10^k is a tiny, tiny fraction if k is at all large. For k = 40,...
Forum: Lounge 2022-05-21, 03:02
Replies: 1,178
Views: 116,023
Posted By Dr Sardonicus
Boeing's contract for this project [Starliner] is...

Boeing's contract for this project [Starliner] is fixed-price. The company has lost hundreds of millions of dollars due to the delays in meeting objectives.

Even so, I haven't heard of any Boeing...
Forum: Number Theory Discussion Group 2022-05-20, 00:54
Replies: 14
Views: 881
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: 1,178
Views: 116,023
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: 12,618
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: 1,691
Views: 193,061
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: 85,767
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: 1,691
Views: 193,061
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: 8
Views: 452
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: 1,691
Views: 193,061
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: 85,767
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: 85,767
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: 64,694
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: 657
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: 13,067
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: 873
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: 873
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: 98
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: 873
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: 84
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: 881
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: 881
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...
Showing results 1 to 25 of 1000

 
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