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Search: Posts Made By: jchein1
Forum: Factoring 2009-05-20, 10:55
Replies: 632
Views: 66,007
Posted By jchein1
Pascal, I would express my sincere thanks...

Pascal,

I would express my sincere thanks to you for your helps.


Joseph
Forum: Factoring 2009-05-19, 10:07
Replies: 632
Views: 66,007
Posted By jchein1
42) 9386: s(P88^2) =...

42) 9386: s(P88^2) =...
Forum: Factoring 2009-05-15, 20:03
Replies: 632
Views: 66,007
Posted By jchein1
Hi CRGreathouse, Pascal Ochem, and Wblipp , ...

Hi CRGreathouse, Pascal Ochem, and Wblipp ,

Thank you very much for your help.


Joseph
Forum: Factoring 2009-05-12, 17:40
Replies: 632
Views: 66,007
Posted By jchein1
Alex, Pace and fivemack, What a great...

Alex, Pace and fivemack,


What a great pleasure it is to have Alex’s results on c162, c165, c477, Pace and fivemack’s results on c861. Your results saved me a great deal of computation and...
Forum: Factoring 2009-05-12, 17:04
Replies: 632
Views: 66,007
Posted By jchein1
Gerbicz & ATH, Thanks a lot. Please...

Gerbicz & ATH,


Thanks a lot. Please drop 35), that’s an entire mistake. Thank you for your correction.

The correct 21) is

21) σ(8511100827067585048127507893^6) = ...
Forum: Factoring 2009-05-12, 12:38
Replies: 632
Views: 66,007
Posted By jchein1
Thanks a lot. Applying your new factored results...

Thanks a lot. Applying your new factored results together with some additional refinement and I finally show that

N2 > 10^500 (15920 lines proof),
N3 > 10^500 ( 9380 lines),
N4 > 10^300...
Forum: Factoring 2009-05-12, 12:36
Replies: 632
Views: 66,007
Posted By jchein1
Thanks a lot. Applying your new factored results...

Thanks a lot. Applying your new factored results together with some additional refinement and I finally show that

N2 > 10^500 (15920 lines proof),
N3 > 10^500 ( 9380 lines),
N4 > 10^300...
Forum: Factoring 2009-05-09, 01:18
Replies: 632
Views: 66,007
Posted By jchein1
Alex, The following example may help us to...

Alex,

The following example may help us to further study the resultant of f(x) and
g(x), hopefully :

Let f_5(x) = (x^5-1)/(x-1).

Let h(x) = \frac{f_5(x)^5-5^5} {f_5(x)-5}

Let g(x) =...
Forum: Factoring 2009-05-08, 15:44
Replies: 632
Views: 66,007
Posted By jchein1
Pace and CRGreathouse, Thank you very...

Pace and CRGreathouse,


Thank you very much for your answers and suggestion.


Joseph
Forum: Factoring 2009-05-08, 14:14
Replies: 632
Views: 66,007
Posted By jchein1
Alex, Incredible results indeed, thanks. ...

Alex,

Incredible results indeed, thanks. Please let me know

1) What are the complex roots of f(x) = x^4 + 2x^3 + 6x^2 + 5x + 13 = 0.

2) Is there any easy way to figure out weather...
Forum: Factoring 2009-05-07, 15:40
Replies: 632
Views: 66,007
Posted By jchein1
Alex, The next smallest roadblock is c477...

Alex,

The next smallest roadblock is c477 (for our research purpose only and I am not expecting anything) :


f(x)=\frac{\left(\left(x^2+x+1\right)^3 - 3^3\right)}{\left( x^2+x+1) - 3\right)}...
Forum: Math 2009-05-07, 13:10
Replies: 24
Views: 1,339
Posted By jchein1
The value of M for the case m is even and n = m/2...

The value of M for the case m is even and n = m/2 is

n(5n+3)/6.

These results are barely enough to carry my paper. The whole analysis is quite complicated. Let us close this thread...
Forum: Math 2009-05-06, 17:04
Replies: 24
Views: 1,339
Posted By jchein1
The problem is much more difficult than I...

The problem is much more difficult than I originally hoped. Pace made a good observation.

Let’s now consider only one important special case when m is even and n = m/2. This is concerning an...
Forum: Math 2009-05-06, 00:48
Replies: 24
Views: 1,339
Posted By jchein1
maxal, Closed enough except for example, ...

maxal,

Closed enough except for example,

for the case n = m = 4, the factor Q1Q2Q3^2 or (1,1,2,0) is allowed, this is not a perfect square but the summand of all components 1+1+2+0 = 4 is...
Forum: Factoring 2009-05-06, 00:27
Replies: 632
Views: 66,007
Posted By jchein1
mklasson, 11 completions so far and I would...

mklasson,

11 completions so far and I would like to congratulate your nice work. Thanks a lot.


Joseph
Forum: Factoring 2009-05-06, 00:14
Replies: 632
Views: 66,007
Posted By jchein1
William, I sincerely believe that your...

William,

I sincerely believe that your research work may be much more difficult and complicated than most people think.

However, I would like to add a short sentence something like “...
Forum: Math 2009-05-05, 22:13
Replies: 24
Views: 1,339
Posted By jchein1
Let me restate our problem as follows: Let...

Let me restate our problem as follows:

Let S be the maximal collection of distinct non-square factors of

(Q1 Q2 Q3 … Qn)^m.

Note: S is a maximal...
Forum: Math 2009-05-05, 17:15
Replies: 24
Views: 1,339
Posted By jchein1
Kevin, Two examples should look like ...

Kevin,

Two examples should look like

for n = m = 3, we have {Q1,Q2,Q3,Q1Q2,Q1Q3,Q2Q3} and M = 3 * 4 / 2.

For n = m = 4, we have {Q1,Q2,Q3,Q4,Q1Q2,Q1Q3,Q1Q4,Q2Q3,Q2Q4,Q3Q4} ant M = 4 * 5 /...
Forum: Math 2009-05-05, 14:46
Replies: 24
Views: 1,339
Posted By jchein1
A combinatory problem

Let M be the maximal ways that (Q1 Q2 Q3 … Qn)^m can be split into different non-square sub-products. For example,

for n = m = 3, we have {Q1,Q2,Q3,Q12,Q13,Q23}.

For n = m = 4, we have...
Forum: Factoring 2009-05-05, 14:07
Replies: 632
Views: 66,007
Posted By jchein1
Alex, Thank you very much for your valuable...

Alex,

Thank you very much for your valuable contributions very professional to me in deed. Many thanks.


Regards

Joseph
Forum: Factoring 2009-05-05, 14:04
Replies: 632
Views: 66,007
Posted By jchein1
William, I would like to congratulate...

William,


I would like to congratulate your excellent work on odd perfect numbers search and thank you for your another 6 contributions. Now we have 10 completions. It’s saved me a great deal...
Forum: Factoring 2009-05-05, 00:57
Replies: 632
Views: 66,007
Posted By jchein1
Thanks to mklasson and fivemack, four completion,...

Thanks to mklasson and fivemack, four completion, that’s great. What a great pleasure it is to see Alex’s result on the c162. Very impressive and congratulations. Thanks a lot.

Regards
...
Forum: Factoring 2009-05-04, 20:13
Replies: 632
Views: 66,007
Posted By jchein1
Alex, mklasson, 10metreh and Andi HB, ...

Alex, mklasson, 10metreh and Andi HB,


Thank you very much for your quick response. Three completion, that’s great.

Alex made a good observation. I just check my notes. I have

Case ...
Forum: Factoring 2009-05-04, 16:16
Replies: 632
Views: 66,007
Posted By jchein1
Odd perfect related road blocks II

Alex, fivemack, ATH, Andi47, Andi HB & all other factoring specialists,


Let M be a smallest product of odd primes such that

square free of ( gcd ( f(x) ,g(x)) ) | M
...
Forum: Factoring 2009-04-29, 15:18
Replies: 31
Views: 2,397
Posted By jchein1
Hi ATH, Thank you very much for your...

Hi ATH,

Thank you very much for your excellent work. I enjoyed the fact

469193, 2798651, 127118029 | (1823756515806872599237^223-1)

very much. Currently, I got 54 distinct primes =...
Showing results 1 to 25 of 60

 
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