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Old 2010-06-01, 17:52   #463
blob100
 
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Quote:
Originally Posted by R.D. Silverman View Post
I gave an example.



OK. So, if this is your notation, you need to express 'a' as a function of
m. a depends on m.
For m natural numbers.
a equals to 1 or m-1.
Further more: if m=4n or 5n we have a=1.
For n>1, natural number.
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Old 2010-06-01, 18:11   #464
R.D. Silverman
 
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Quote:
Originally Posted by blob100 View Post
For m natural numbers.
a equals to 1 or m-1.
Further more: if m=4n or 5n we have a=1.
No. Not quite.

e.g. let m = 8. The units are 1,3,5,7. Their product mod 8 is 7. This
clearly isn't 1.

let m = 10, the units are 1,3,7,9. Their product mod 10 is 9. This clearly
isn't 1.
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Old 2010-06-01, 18:28   #465
blob100
 
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Quote:
Originally Posted by R.D. Silverman View Post
No. Not quite.

e.g. let m = 8. The units are 1,3,5,7. Their product mod 8 is 7. This
clearly isn't 1.

let m = 10, the units are 1,3,7,9. Their product mod 10 is 9. This clearly
isn't 1.
Keyboard writing mistake, I wanted to write n>2.
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Old 2010-06-01, 19:25   #466
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Quote:
Originally Posted by blob100 View Post
Keyboard writing mistake, I wanted to write n>2.
Now you are getting ridiculous. You are grossly incorrect.

Don't you bother checking your answers by simple example???
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Old 2010-06-02, 16:44   #467
blob100
 
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Quote:
Originally Posted by R.D. Silverman View Post
Now you are getting ridiculous. You are grossly incorrect.

Don't you bother checking your answers by simple example???
Every natural number m, have a number a equals 1 or m-1 (for a, d(m) defined before).
For evey m with a residue class m-1, a=m-1.

Example:
m=16.
3*5=b(mod 16)
b=3*5=16-1.
And further more:
d(m)=a(mod 16)
a=16-1.

Where b is the residue class of (3,5).

Last fiddled with by blob100 on 2010-06-02 at 16:46
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Old 2010-06-02, 16:57   #468
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Quote:
Originally Posted by blob100 View Post
Every natural number m, have a number a equals 1 or m-1 (for a, d(m) defined before).
This is correct. Either a = 1 or a = -1 = m-1 mod m However:

(1) You need to justify your answer. How did you get it?
Show your work. It is not sufficient to simply assert the answer.

(2) You need to determine which m give the answer 1,
and which m give the answer -1.

Hint: This is closely related to a problem we already looked at. Think
about the units that are their own inverse.
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Old 2010-06-02, 18:20   #469
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Quote:
Originally Posted by R.D. Silverman View Post
Now you are getting ridiculous. You are grossly incorrect.

Don't you bother checking your answers by simple example???
Sometimes people just make mistakes. It isn't always a sign that they're feeble-minded. For example:

Quote:
Originally Posted by R.D. Silverman View Post
e.g. let m = 8. The units are 1,3,5,7. Their product mod 8 is 7. This
clearly isn't 1.
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Old 2010-06-02, 19:47   #470
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Quote:
Originally Posted by jyb View Post
Sometimes people just make mistakes. It isn't always a sign that they're feeble-minded. For example:
Students of mathematics need it drilled into them that they need to
check their answers.
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Old 2010-06-02, 23:41   #471
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Quote:
Originally Posted by bsquared View Post
Assuming the poster is ESL (english as a second language), I would hold them to what you say for formal publication. Even then, it does not always happen: I've read numerous journal articles in which ESL authors didn't quite hit the mark but nonetheless were understandable and were published.

Discussion here should be a little more relaxed than formal publication standards, IMO.
He attacks anyone, even kids apparently. LOL. Having the moron on the ignore list is the best decision that I ever made. The sad guy even goes after children.. how tragic...

Last fiddled with by 3.14159 on 2010-06-02 at 23:43
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Old 2010-06-02, 23:44   #472
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Quote:
Originally Posted by 3.14159 View Post
He attacks anyone, even kids apparently. LOL. Having the moron on the ignore list is the best decision that I ever made. The sad guy even goes after children.. how tragic...
I like your humor.
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Old 2010-06-02, 23:48   #473
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Quote:
Originally Posted by blob100 View Post
The number 431is a good example for a non p (as I explained),
it is like putting 4 as a prime number because it is a natural number as a prime number is.
The number I told to put were prime numbers that are the factors of mersenne numbers with an odd exponential.
(I think you tought these are just prime numbers).
p isn't a normal prime number, it is a number as:
7,23,31,83...
You can see that 23's smallest odd factor that agrees 2e(p-1)>p is 11 because 23's factors are 2,11.
83 and 7 are the same as 23.
31 is a more interesting,
31-1=30, and the smallest odd factor that agrees 2e(p-1)>p is 5.
17 isn't a p number as I explained it is, because it's smallest factor that agrees 2e(p-1)>p isn't an odd number (8 isn't an odd number).
Please read what I write before saying things are false.
431 is prime. Point debunked.

Proofs:
431/2 =/= Integer
431/3 =/= Integer
431/5 =/= Integer
431/7 =/= Integer
431/11 =/= Integer
431/13 =/= Integer
431/17 =/= Integer
431/19 = Integer
sqrt(431) = 20
431 is prime
QED

Last fiddled with by 3.14159 on 2010-06-02 at 23:51
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