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#2075901  05/02/13 01:15 PM
Re: Favorite piano work ....
[Re: pianoloverus]

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Registered: 04/14/13
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#2075928  05/02/13 02:18 PM
Re: Favorite piano work ....
[Re: JoelW]

Registered: 11/27/02
Posts: 13837
Loc: Iowa City, IA

Just because you don't like novel threads doesn't mean you have to mock them. Yes he does. This is the *internet*
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#2075995  05/02/13 03:39 PM
Re: Favorite piano work ....
[Re: Goomer Piles]

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#2076006  05/02/13 03:57 PM
Re: Favorite piano work ....
[Re: pianoloverus]

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Registered: 10/14/10
Posts: 8235

Answers:
1) Måî V∫âst by Bøhislâv Smétinä
2) øbviously a mîshtakë by PL, as any even number greater than two is divisible by 2 (= 'two'). So, let's correct it to the prime number after 2, i.e., 3. It will have to be Rachmaninoff's Morceaux de fantaisie.
3) Deux kazooræ, Op.2 by A. Kangarøö (1913  2013)
4) Prélude à l'aprèsmidi d'un Göldfisch
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"I don't play accurately  anyone can play accurately  but I play with wonderful expression. As far as the piano is concerned, sentiment is my forte. I keep science for Life."

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#2076011  05/02/13 04:07 PM
Re: Favorite piano work ....
[Re: bennevis]

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Answers:2) øbviously a mishtake by PL, as any even number greater than two is divisible by 2 (=two). So, let's correct it to the prime number after 2, i.e., 3. It will have to be Rachmaninoff's Morceaux de fantaisie. Can I switch to a prime number less than two? I don't care if it's even or odd or... anything???
Edited by pianoloverus (05/02/13 04:19 PM)

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#2076013  05/02/13 04:09 PM
Re: Favorite piano work ....
[Re: pianoloverus]

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Registered: 02/08/13
Posts: 121

1. Mussorgsky's Moustache: A Romantic Tour by Chabrier
2. I am not sure that there are even prime numbers greater than two
3. I'm going to say the piano transcription of Mozart's Bassoon Concerto, as the bassoon is clearly the instrument which most imitates the kazoo aurally. Especially the French "grande kazoo" which is nearly identical to the bassoon for all practical purposes.
4. There's actually a lesser known Bach Variations on the Debussy Variations on the Reger Bach Variations. Then Busoni actually did a variation on that. It just sounded like beeping noises after everyone was done. Then John Cage performed it.

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#2076021  05/02/13 04:20 PM
Re: Favorite piano work ....
[Re: mermilylumpkin]

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Registered: 04/04/12
Posts: 782
Loc: Michigan, USA

2. I am not sure that there are even prime numbers greater than two
There aren't. I almost made the mistake of correcting him too, until I realized he's a retired math teacher. So it's no mistake. He's simply having fun with us. Since he has nothing but contempt for emoticons, Plover will never "lead" you to his humor. You either tumble upon it yourself, or you don't. And the many who "don't" have gotten unjustifiably PO'd at him.

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#2076045  05/02/13 04:56 PM
Re: Favorite piano work ....
[Re: pianoloverus]

500 Post Club Member
Registered: 04/04/12
Posts: 782
Loc: Michigan, USA

Can I switch to a prime number less than two? I don't care if it's even or odd or... anything??? More bait, folks. Don't bite. "Prime numbers greater than 5, ending in 5" may well be next on the menu.

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#2076060  05/02/13 05:18 PM
Re: Favorite piano work ....
[Re: Old Man]

8000 Post Club Member
Registered: 10/14/10
Posts: 8235

3.141592653589793238462643383279502884197169399375105820974944... (sorry, just been watching Life of π  great movie! )
_________________________
"I don't play accurately  anyone can play accurately  but I play with wonderful expression. As far as the piano is concerned, sentiment is my forte. I keep science for Life."

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#2076089  05/02/13 06:28 PM
Re: Favorite piano work ....
[Re: pianoloverus]

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Registered: 10/14/10
Posts: 8235

Who knows why 1 is not a prime even though its only divisors are itself and 1(the basic idea of a prime number)? (Seems like a perfectly good question on a piano forum) Because one can arbitrarily include any number of copies of 1 in any factorization  e.g. 5, 5x1, 5x1x1, 5x1x1x1 etc are all valid factorizations of 5. Therefore, 1 has to be uniquely excluded as a prime number.
_________________________
"I don't play accurately  anyone can play accurately  but I play with wonderful expression. As far as the piano is concerned, sentiment is my forte. I keep science for Life."

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#2076097  05/02/13 06:46 PM
Re: Favorite piano work ....
[Re: bennevis]

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Who knows why 1 is not a prime even though its only divisors are itself and 1(the basic idea of a prime number)? (Seems like a perfectly good question on a piano forum) Because one can arbitrarily include any number of copies of 1 in any factorization  e.g. 5, 5x1, 5x1x1, 5x1x1x1 etc are all valid factorizations of 5. Therefore, 1 has to be uniquely excluded as a prime number. That is not my understanding of the correct answer although I am only going by what one professor told me a long time ago. (I don't see how it's related to my point about the main idea of a prime number.)

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#2076103  05/02/13 06:58 PM
Re: Favorite piano work ....
[Re: pianoloverus]

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Registered: 06/12/09
Posts: 4162
Loc: Bay Area, CA

Who knows why 1 is not a prime even though its only divisors are itself and 1(the basic idea of a prime number)? (Seems like a perfectly good question on a piano forum) Because one can arbitrarily include any number of copies of 1 in any factorization  e.g. 5, 5x1, 5x1x1, 5x1x1x1 etc are all valid factorizations of 5. Therefore, 1 has to be uniquely excluded as a prime number. That is not my understanding of the correct answer although I am only going by what one professor told me a long time ago. (I don't see how it's related to my point about the main idea of a prime number.) bennevis's response is basically exactly right. The question of whether to consider 1 a prime is, in once sense, arbitrary. If we define a prime to be "any integer > 0 whose factors are 1 and itself", then 1 is a prime. If we define a prime to be "any integer > 1 whose factors are 1 and itself", then 1 is not a prime. Mathematicians have chosen the second definition. Why did they do that? The answer is that if 1 were a prime, then the Fundamental Theorem of Arithmetic, which states that any positive number can be uniquely decomposed into a product of primes, wouldn't be true. The "unique" part would break. The corrected statement of that theorem would become less elegant. And the Fundamental Theorem of Arithmetic is so important that mathematicians decided it should have a simple and elegant statement! (Source: I'm a mathematician! ) Jason p.s. the first three google hits under "why isn't 1 a prime number" corroborate this reason; two of them mention the Fundamental Theorem of Arithmetic by name!
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#2076113  05/02/13 07:14 PM
Re: Favorite piano work ....
[Re: beet31425]

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Registered: 05/29/01
Posts: 21614
Loc: New York City

bennevis's response is basically exactly right. The question of whether to consider 1 a prime is, in once sense, arbitrary. If we define a prime to be "any integer > 0 whose factors are 1 and itself", then 1 is a prime. If we define a prime to be "any integer > 1 whose factors are 1 and itself", then 1 is not a prime. Mathematicians have chosen the second definition. Why did they do that? The answer is that if 1 were a prime, then the Fundamental Theorem of Arithmetic, which states that any positive number can be uniquely decomposed into a product of primes, wouldn't be true. The "unique" part would break. The corrected statement of that theorem would become less elegant. And the Fundamental Theorem of Arithmetic is so important that mathematicians decided it should have a simple and elegant statement! (Source: I'm a mathematician! ) Jason p.s. the first three google hits under "why isn't 1 a prime number" corroborate this reason; two of them mention the Fundamental Theorem of Arithmetic by name! This sounds much more like(or exactly like) what the professor told me. He said that if 1 was included in the primes than many theorems from number theory(like the one you mentioned, for example)would have to say this is true for all prime numbers except 1. Are there other relatively basic number theory theorems besides the one you mentioned that would need a disclaimer if 1 was a prime?
Edited by pianoloverus (05/02/13 07:18 PM)

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#2076158  05/02/13 08:45 PM
Re: Favorite piano work ....
[Re: pianoloverus]

8000 Post Club Member
Registered: 03/03/13
Posts: 8867
Loc: New York City

Who knows why 1 is not a prime even though its only divisors are itself and 1(the basic idea of a prime number)? (Seems like a perfectly good question on a piano forum) Because one can arbitrarily include any number of copies of 1 in any factorization  e.g. 5, 5x1, 5x1x1, 5x1x1x1 etc are all valid factorizations of 5. Therefore, 1 has to be uniquely excluded as a prime number. That is not my understanding of the correct answer although I am only going by what one professor told me a long time ago. (I don't see how it's related to my point about the main idea of a prime number.) It's correct  at least that's how I learned it.
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#2076179  05/02/13 09:07 PM
Re: Favorite piano work ....
[Re: Polyphonist]

Yikes! 10000 Post Club Member
Registered: 05/29/01
Posts: 21614
Loc: New York City

Who knows why 1 is not a prime even though its only divisors are itself and 1(the basic idea of a prime number)? (Seems like a perfectly good question on a piano forum) Because one can arbitrarily include any number of copies of 1 in any factorization  e.g. 5, 5x1, 5x1x1, 5x1x1x1 etc are all valid factorizations of 5. Therefore, 1 has to be uniquely excluded as a prime number. That is not my understanding of the correct answer although I am only going by what one professor told me a long time ago. (I don't see how it's related to my point about the main idea of a prime number.) It's correct  at least that's how I learned it. Apparently you didn't even read my previous post. Without mentioning that the different factorizations of 5 given would contradict to the Fundamental Theorem of Algebra the example is not particularly relevant or at best unclear.

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#2076778  05/03/13 05:33 PM
Re: Favorite piano work ....
[Re: pianoloverus]

500 Post Club Member
Registered: 03/09/13
Posts: 721
Loc: Germany

Favorite piano composition with an opus number that is an even prime number greater than 2? I have another: Favorite piano composition by a composer who owned a Yamaha piano built in 1886?
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Everything is possible, and nothing is sure.

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#2076784  05/03/13 05:43 PM
Re: Favorite piano work ....
[Re: pianoloverus]

8000 Post Club Member
Registered: 03/03/13
Posts: 8867
Loc: New York City

Or, favorite piano composition by a Yamaha piano who owned a composer built in 1886.
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Polyphonist

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#2076787  05/03/13 05:49 PM
Re: Favorite piano work ....
[Re: Polyphonist]

500 Post Club Member
Registered: 03/09/13
Posts: 721
Loc: Germany

OR: Favorite piano composition without piano?
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Everything is possible, and nothing is sure.

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#2076793  05/03/13 05:56 PM
Re: Favorite piano work ....
[Re: patH]

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Registered: 03/03/13
Posts: 8867
Loc: New York City

OR: Favorite piano composition without piano, only forte?
Chopin 40/1. (I don't know of any others. )
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Polyphonist

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#2076853  05/03/13 08:42 PM
Re: Favorite piano work ....
[Re: btb]

Full Member
Registered: 02/08/13
Posts: 121

Didn't John Cleese do a gag about a parrot ... as I remember he nailed the dead bird to the perch in it's cage ... a bit of chicanery to be able to sell the smelly thing.
Alkan came later. Hahaha, I would LOVE if those two things were related. http://www.youtube.com/watch?v=npjOSLCR2hE

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#2076856  05/03/13 08:47 PM
Re: Favorite piano work ....
[Re: Orange Soda King]

6000 Post Club Member
Registered: 09/22/06
Posts: 6543
Loc: St. Louis area


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