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factoring request...

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master1729...
Posted: Sun Nov 01, 2009 6:26 am
Guest
Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729
 
master1729...
Posted: Sun Nov 01, 2009 10:42 am
Guest
[quote]Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729
[/quote]
I said PLZ.
 
master1729...
Posted: Sun Nov 01, 2009 12:01 pm
Guest
Virgil wrote :

[quote]In article
1699063352.149909.1257108152590.JavaMail.root at (no spam) gallium
.mathforum.org>,
master1729 <tommy1729 at (no spam) gmail.com> wrote:

Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729

I said PLZ.

(46^46 - 1) /( (46+1)*(46-1)) factors into

[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 +
3 + 1)]

And similarly for the others.
[/quote]
sigh.

im tired of these jokes.

you people know darn well that

1) i was aware of the above trivial factorization

or should i say : " what is intended " since the above is actually wrong :

quote :

(46^46 - 1) /( (46+1)*(46-1)) factors into

[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]

/

wow a number factors into a smaller number !!??!!

yes smaller because (46^23 + 1) / (46^23 + 1) = 1

so that joke is even wrong and pathetic.

2) im not a beginner at factoring , otherwise i could not have known that (46^46 - 1) /( (46+1)*(46-1)) is actually an integer.

3) thus i wanted - as you darn well know - a full factorization. and a correct one !

4) if you will reply with jokes , mistakes , nonsense and irrelevant stuff , i will too and say here : axiom of choice is wrong.


regards - assuming and hoping you will give a better reply now -

tommy1729


since this reply of virgil was rediculous ( didnt say virgil is ) , i feel the urge to quote an idiot :)

" sd354fq35f13e4f115fsd search the people " musatov.
 
master1729...
Posted: Sun Nov 01, 2009 12:28 pm
Guest
in the meanwhile i computed that
(46^23 + 1) / 47 = prime.

tommy1729
 
Pubkeybreaker...
Posted: Sun Nov 01, 2009 12:35 pm
Guest
On Nov 1, 11:26�am, master1729 <tommy1... at (no spam) gmail.com> wrote:
[quote]Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))
[/quote]
(1) Each of the numerators is the difference of two
squares.
Their factorization is trivial.

(2) You can find the full facorizations at Richard
Brent's website.
 
master1729...
Posted: Sun Nov 01, 2009 1:17 pm
Guest
[quote]Blow me, you impotent puke.



[/quote]
shut up musatov , you retarded son of a german whore who married a bad smelling pokemon.

go ' search the people '
 
master1729...
Posted: Sun Nov 01, 2009 1:19 pm
Guest
pubkeybreaker wrote :

[quote]On Nov 1, 11:26�am, master1729 <tommy1... at (no spam) gmail.com
wrote:
Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))

(1) Each of the numerators is the difference of two
squares.
Their factorization is trivial.

(2) You can find the full facorizations at Richard
Brent's website.
[/quote]
thanks.

i will look at R Brents website.

i already factored 3 out of 4.

but that last one is tricky , better use his website.

maybe it will lead to a nice conjecture.


regards

tommy1729
 
master1729...
Posted: Sun Nov 01, 2009 1:48 pm
Guest
[quote]pubkeybreaker wrote :

On Nov 1, 11:26�am, master1729
tommy1... at (no spam) gmail.com
wrote:
Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))

(1) Each of the numerators is the difference of
two
squares.
Their factorization is trivial.

(2) You can find the full facorizations at Richard
Brent's website.

thanks.

i will look at R Brents website.

i already factored 3 out of 4.

but that last one is tricky , better use his
website.

maybe it will lead to a nice conjecture.


regards

tommy1729
[/quote]
i have trouble with .gz files for some reason.

didnt find an online program to factor , did i overlook ?
 
master1729...
Posted: Sun Nov 01, 2009 1:52 pm
Guest
http://www.alpertron.com.ar/ECM.HTM

did it Smile
 
Virgil...
Posted: Sun Nov 01, 2009 3:04 pm
Guest
In article
<1699063352.149909.1257108152590.JavaMail.root at (no spam) gallium.mathforum.org>,
master1729 <tommy1729 at (no spam) gmail.com> wrote:

[quote]Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729

I said PLZ.
[/quote]
(46^46 - 1) /( (46+1)*(46-1)) factors into

[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]

And similarly for the others.
 
Martin M. Musatov...
Posted: Sun Nov 01, 2009 5:36 pm
Guest
Blow me, you impotent puke.
 
Virgil...
Posted: Sun Nov 01, 2009 6:22 pm
Guest
In article
<968439331.150126.1257112893522.JavaMail.root at (no spam) gallium.mathforum.org>,
master1729 <tommy1729 at (no spam) gmail.com> wrote:

[quote]Virgil wrote :

In article
1699063352.149909.1257108152590.JavaMail.root at (no spam) gallium
.mathforum.org>,
master1729 <tommy1729 at (no spam) gmail.com> wrote:

Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729

I said PLZ.

(46^46 - 1) /( (46+1)*(46-1)) factors into

[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 +
3 + 1)]

And similarly for the others.

sigh.

im tired of these jokes.

you people know darn well that

1) i was aware of the above trivial factorization

or should i say : " what is intended " since the above is actually wrong :

quote :

(46^46 - 1) /( (46+1)*(46-1)) factors into

[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]

My poor proof reading, sorry.[/quote]
Should have been
[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46+ 1)]

Which is a factorization. though apparently not the COMPLETE
factorization that OP did not actually specify he wanted.
[quote]
wow a number factors into a smaller number !!??!!

yes smaller because (46^23 + 1) / (46^23 + 1) = 1

so that joke is even wrong and pathetic.

2) im not a beginner at factoring , otherwise i could not have known that
(46^46 - 1) /( (46+1)*(46-1)) is actually an integer.

3) thus i wanted - as you darn well know - a full factorization. and a
correct one !
[/quote]
If you want a FULL (or more properly, a complete) factorization, it is
not that much more difficult to say so.
[quote]
4) if you will reply with jokes , mistakes , nonsense and irrelevant stuff ,
i will too and say here : axiom of choice is wrong.


regards - assuming and hoping you will give a better reply now -

tommy1729


since this reply of virgil was rediculous ( didnt say virgil is ) , i feel
the urge to quote an idiot :)

" sd354fq35f13e4f115fsd search the people " musatov.[/quote]
 
dan73...
Posted: Mon Nov 02, 2009 12:25 am
Guest
[quote]Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))


thank you.


regards

tommy1729
[/quote]
More of a challenge --
The 3 + the first 111 decimal digits of pi changed
to an integer.

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513e+111.

Dan
 
Martin M. Musatov...
Posted: Mon Nov 02, 2009 2:01 am
Guest
Blow me a second time, you impotent puke.
 
Pubkeybreaker...
Posted: Mon Nov 02, 2009 3:12 am
Guest
On Nov 2, 5:25 am, dan73 <fasttrac... at (no spam) att.net> wrote:
[quote]Plz factor the following 4 numbers :

(46^46 - 1) /( (46+1)*(46-1))

(58^58 - 1) /( (58+1)*(58-1))

(82^82 - 1) /( (82+1)*(82-1))

(106^106 - 1) /( (106+1)*(106-1))

thank you.

regards

tommy1729

More of a challenge --
The 3 + the first 111 decimal digits of pi changed
to an integer.

3.1415926535897932384626433832795028841971693993751058209749445923078164062­86208998628034825342117067982148086513e+111.

Dan- Hide quoted text -

- Show quoted text -
[/quote]
Not much of a challenge. A few days computing on a single PC using
GNFS. Even less if one can
pull out a small factor or two with ECM.
 
 
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