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Forum: Miscellaneous Math 2021-03-02, 16:50
Replies: 4
Views: 166
Posted By Dr Sardonicus
Let n > 2, and let Q be the largest prime less...

Let n > 2, and let Q be the largest prime less than n!. Let k be the least integer greater than 1 for which n! + k is prime.

Clearly k can be composed only of prime factors greater than n. If p...
Forum: Forum Feedback 2021-03-02, 14:37
Replies: 15
Views: 323
Posted By Dr Sardonicus
Ah, the examples tell the tale. When you shift...

Ah, the examples tell the tale. When you shift the initial value k bits to the left, it is no longer the constant value 2 being subtracted after each squaring. (This is not mentioned in the given...
Forum: Forum Feedback 2021-03-02, 00:53
Replies: 15
Views: 323
Posted By Dr Sardonicus
It's not entirely clear to me how the double...

It's not entirely clear to me how the double checking of an LL test using a left-shifted initial value is supposed to work. From what I have read,

1) The LL left-shifted double-check is only done...
Forum: Soap Box 2021-03-01, 23:44
Replies: 25
Views: 1,514
Posted By Dr Sardonicus
There's a Class action lawsuit...

There's a Class action lawsuit (https://www.truthinadvertising.org/wp-content/uploads/2020/06/Mondigo-v-Epson-America-complaint.pdf) filed against Epson on May 20, 2020. A previous such filing was...
Forum: Soap Box 2021-03-01, 17:38
Replies: 25
Views: 1,514
Posted By Dr Sardonicus
The word "sabotage" comes to mind...

The word "sabotage" comes to mind...
Forum: Lounge 2021-03-01, 17:25
Replies: 1,332
Views: 82,065
Posted By Dr Sardonicus
OK, the story itself isn't that outlandish, but...

OK, the story itself isn't that outlandish, but the headline sure is an attention-getter:

US probing engine fires in nearly 1.9M Toyota RAV4 SUVs...
Forum: FermatSearch 2021-03-01, 16:38
Replies: 332
Views: 54,167
Posted By Dr Sardonicus
This will necessitate another revision besides an...

This will necessitate another revision besides an addition to the list of known factors at http://www.prothsearch.com/fermat.html. The exponent 40 is (soon to be was) on the "Character unknown" list...
Forum: Soap Box 2021-03-01, 14:50
Replies: 25
Views: 1,514
Posted By Dr Sardonicus
Europeans get 'right to repair' for some...

Europeans get 'right to repair' for some electrical goods (https://apnews.com/article/technology-europe-environment-berlin-europe-65168395d1fc7dc0e22792722c93140d)
Forum: Lounge 2021-03-01, 14:32
Replies: 977
Views: 71,425
Posted By Dr Sardonicus
From the context, I read "first post-pandemic...

From the context, I read "first post-pandemic race" as "first race since the pandemic began."

I bet it felt good to be back on a track again! :tu:

Hmm, doesn't look like all the spectators were...
Forum: Lounge 2021-03-01, 13:37
Replies: 1,682
RIP
Views: 138,692
Posted By Dr Sardonicus
Irv Cross...

Irv Cross (https://www.chicagotribune.com/sports/breaking/ct-irv-cross-obit-nfl-today-northwestern-hammond-20210301-xbv6yghkorcwfkszj5ipe6empi-story.html)
Forum: Soap Box 2021-02-28, 00:34
Replies: 17
Views: 369
Posted By Dr Sardonicus
No legal prohibition to a convicted felon...

No legal prohibition to a convicted felon becoming US president AFAIK. IIRC the now late Lyndon Larouche ran for president while incarcerated as a convicted felon (but did not come anywhere close to...
Forum: Lounge 2021-02-28, 00:17
Replies: 1,319
Views: 97,068
Posted By Dr Sardonicus
J&J’s 1-dose shot cleared, giving US 3rd COVID-19...

J&J’s 1-dose shot cleared, giving US 3rd COVID-19 vaccine (https://apnews.com/article/ap-top-news-anthony-fauci-coronavirus-pandemic-f13611719ad8d1655ed7b354af75a9a9)
Forum: Lounge 2021-02-27, 16:17
Replies: 195
Views: 27,416
Posted By Dr Sardonicus
They look like either Common Grackles, or...

They look like either Common Grackles, or possibly some other kind of blackbird. Brewer's Blackbirds and Rusty Blackbirds are not entirely ruled out by coloration, due to unfavorable light...
Forum: Soap Box 2021-02-27, 13:49
Replies: 17
Views: 369
Posted By Dr Sardonicus
This is from a recent AP story about the CPAC...

This is from a recent AP story about the CPAC shindig (https://apnews.com/article/donald-trump-ted-cruz-elections-c5273f2cf5e1c478dd0d9b11b902bdf9).

Never mind the election, let's make him an...
Forum: Reading 2021-02-26, 13:26
Replies: 15
Views: 2,784
Posted By Dr Sardonicus
I tried to find out how much power a slug of...

I tried to find out how much power a slug of corium produces, without much success. I read that a lot of the heat is produced by the radioactive decay of short-lived isotopes. When the stuff hits...
Forum: Lounge 2021-02-26, 12:13
Replies: 56
Views: 9,402
Posted By Dr Sardonicus
Monarch butterflies down 26% in Mexico wintering...

Monarch butterflies down 26% in Mexico wintering grounds (https://apnews.com/article/monarch-butterflies-down-mexico-9eb0e1e1b09e289428e55f78b3236c4b)
Forum: Miscellaneous Math 2021-02-24, 17:19
Replies: 2
Views: 150
Posted By Dr Sardonicus
The Lucas identity follows immediately from (x^3...

The Lucas identity follows immediately from (x^3 + y^3)/(x + y) = x^2 - x*y + y^2.

The Fibonacci identity follows immediately from (x^3 - y^3)/(x - y) = x^2 + x*y + y^2.

Clearly the same...
Forum: Reading 2021-02-24, 16:32
Replies: 15
Views: 2,784
Posted By Dr Sardonicus
I have to wonder at the multi-megaton estimate of...

I have to wonder at the multi-megaton estimate of the steam explosion that would have resulted if the slug of radioactive core material had hit the full tanks of water. I just don't think it would...
Forum: Soap Box 2021-02-24, 14:07
Replies: 17
Views: 369
Posted By Dr Sardonicus
It's quite simple, really. The election is over,...

It's quite simple, really. The election is over, the winners have taken office, and with the Supreme Court's latest decisions, the last (AFAIK) pending legal disputes of the results have been...
Forum: Soap Box 2021-02-24, 01:47
Replies: 684
Views: 52,446
Posted By Dr Sardonicus
I invite all and sundry to view the title of my...

I invite all and sundry to view the title of my 2021-02-23, 21:04 post to this thread, whose topic was the 2020 US general election. I thought the news item marked a fitting end to the subject. I...
Forum: Lounge 2021-02-23, 23:02
Replies: 1,072
Views: 69,033
Posted By Dr Sardonicus
It seems that systems engineer Ian Clark used the...

It seems that systems engineer Ian Clark used the pattern of red and white in the rover's parachute to encode a message and the location of JPL...
Forum: Soap Box 2021-02-23, 21:04
Replies: 684
Views: 52,446
Posted By Dr Sardonicus
And so it ends...

Supreme Court rejects Trump election challenge cases (https://apnews.com/article/joe-biden-donald-trump-pennsylvania-elections-us-supreme-court-5cc6aee8c328c7bb1d423244b979bcec)
Forum: Miscellaneous Math 2021-02-23, 15:18
Replies: 32
Views: 1,377
Posted By Dr Sardonicus
Heh-heh. This means that each of the 25 primes...

Heh-heh. This means that each of the 25 primes less than 100 is a quadratic residue (mod p) and (mod q). We know that the smaller factor (say p) is less than 10^50 which is about 2^166. There are...
Forum: Miscellaneous Math 2021-02-22, 21:52
Replies: 10
Views: 327
Posted By Dr Sardonicus
MODERATOR NOTE: Thread closed.

MODERATOR NOTE: Thread closed.
Forum: Soap Box 2021-02-22, 15:05
Replies: 9
Views: 365
Posted By Dr Sardonicus
I am reminded of a long-ago next door neighbor...

I am reminded of a long-ago next door neighbor of mine who had come from Texas. Not a bad guy by any stretch, and if there were a Sweetest Gal on God's Green Earth contest his wife would have been...
Showing results 1 to 25 of 1000

 
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