mersenneforum.org @ Supermods: Error Correction please
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 2013-02-06, 19:52 #1 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 125710 Posts @ Supermods: Error Correction please Due to an error in my own code, I posted wrongly, verified correctly by now. Major Corrections Please In this thread, http://mersenneforum.org/showthread.php?t=17736 post #3 For k = 16 Is it possible to change with the last paragraph so that it looks like N can be written as a²+16b² if and only if - N is not congruent to 2 (mod 4) or 8 (mod 16). - N has no prime factors congruent to {3, 7} mod 8 to an odd power. - If N is odd, then the sum of exponents of {5} mod 8 prime factors of N is even. Similarly, for k = 28 please change with the last paragraph so that it looks like N can be written as a²+28b² if and only if - N is not congruent to 2 (mod 4) or 8 (mod 16). - N has no prime factors congruent to {3, 5, 13, 17, 19, 27} mod 28 to an odd power. - If N is odd, then the sum of exponents of {7, 11, 15, 23} mod 28 prime factors of N is even. After these corrections have been made, please delete with this thread completely. Thanks for your own time. Minor Corrections Please It is also being good to delete the lines saying k = 96 k = 107 from post #9. They are being false statements. I verified again to check that they are not being the case, but my own code showed them up incorrectly, due to an use of arbitrary limit down that way Last fiddled with by Raman on 2013-02-06 at 19:53
 2013-02-06, 20:00 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 13×773 Posts Just post another one.
 2013-02-06, 20:07 #3 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 3·419 Posts Why? I don't want false statements to be present in inside the thread, by itself. At least please correct with those last paragraphs for k = 16, k = 28 k = 16 N can be written as a²+16b² if and only if - N is not congruent to 2 (mod 4) or 8 (mod 16). - N has no prime factors congruent to {3, 7} mod 8 to an odd power. - If N is odd, then the sum of exponents of {5} mod 8 prime factors of N is even. k = 28 N can be written as a²+28b² if and only if - N is not congruent to 2 (mod 4) or 8 (mod 16). - N has no prime factors congruent to {3, 5, 13, 17, 19, 27} mod 28 to an odd power. - If N is odd, then the sum of exponents of {7, 11, 15, 23} mod 28 prime factors of N is even.
2013-02-06, 20:14   #4
chalsall
If I May

"Chris Halsall"
Sep 2002

2B3616 Posts

Quote:
 Originally Posted by Raman Why? I don't want false statements to be present in inside the thread, by itself.
It is a tenet of the Sciences that participates admit their mistakes.

A self-correction is always welcome, but post-editing of published errors never is.

 2013-02-06, 20:18 #5 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 3×419 Posts I hope you don't understand me. Instead of chatting with me, you could take a moment to correct them for k = 16, k = 28 cases. If in case that someone refers to it into the future time, then it's being impolite to convey with false information to other people.
2013-02-06, 20:20   #6
chalsall
If I May

"Chris Halsall"
Sep 2002

101011001101102 Posts

Quote:
 Originally Posted by Raman Instead of chatting with me, you could take a moment to correct them for k = 16, k = 28 cases.
I could. I won't.

I hope you don't misunderstand us.

 2013-02-06, 20:29 #7 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 3·419 Posts Someone please correct them with, sincerely. I do not want a false statement to be sandwiched between the true statements. It's not being fair to misguide with other people. It will take with a moment's time. But, for this reason, the users / members can be allowed to edit with their own posts indefinitely, by itself. Sincerely, trusting with faith
 2013-02-06, 20:39 #8 Dubslow Basketry That Evening!     "Bunslow the Bold" Jun 2011 40
2013-02-06, 20:40   #9
chalsall
If I May

"Chris Halsall"
Sep 2002

2×5,531 Posts

Quote:
 Originally Posted by Raman Someone please correct them with, sincerely.
You are barking up the wrong tree here.

You might find Dr. Andrew Lyne's experience worth noting.

Quote:
 When Lyne announced the retraction of his results at a meeting of the American Astronomical Society, he received a standing ovation from his scientific colleagues for having the intellectual integrity and the courage to admit this error publicly.
This *IS* the Scientific Method in its best form.

 2013-02-06, 20:47 #10 Dubslow Basketry That Evening!     "Bunslow the Bold" Jun 2011 40
 2013-02-06, 20:52 #11 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 125710 Posts I have posted again with the corrected versions for k = 16, k = 28 cases, inside in that same thread, by me itself. Can a super-mod right now please remove with those incorrect versions, from old post? I can't believe I need to fight / argue very much with super-mods in order to correct with my own errors, by me itself, from within my own post, by itself Last fiddled with by Raman on 2013-02-06 at 20:55

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