20130206, 19:52  #1 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
1257_{10} 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 20130206 at 19:53 
20130206, 20:00  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
13×773 Posts 
Just post another one.

20130206, 20:07  #3 
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. 
20130206, 20:14  #4 
If I May
"Chris Halsall"
Sep 2002
Barbados
2B36_{16} Posts 

20130206, 20:18  #5 
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. 
20130206, 20:20  #6 
If I May
"Chris Halsall"
Sep 2002
Barbados
10101100110110_{2} Posts 

20130206, 20:29  #7 
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 
20130206, 20:39  #8 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
What they're saying is just make another post saying that "lines x, y, and z for k = i and j in post a and b are incorrect due to a bug; instead here's the correct info: ...".
Perhaps they would consider posting a note in your message pointing to separate correction post if you were to make one. (I'm not quite sure I agree with their methodology, but this is how you'd deal with it.) 
20130206, 20:40  #9  
If I May
"Chris Halsall"
Sep 2002
Barbados
2×5,531 Posts 
You are barking up the wrong tree here.
You might find Dr. Andrew Lyne's experience worth noting. Quote:


20130206, 20:47  #10 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1C35_{16} Posts 
This is hardly a scientific method sort of thing though; this is just a bug found in code, that is now fixed. It's not like he's retracting a major claim or study or anything. (Also note this is mathematics, not science; it is logical and provably correct, as opposed to scientific empiricism which is not.)

20130206, 20:52  #11 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
1257_{10} 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 supermod right now please remove with those incorrect versions, from old post? I can't believe I need to fight / argue very much with supermods in order to correct with my own errors, by me itself, from within my own post, by itself Last fiddled with by Raman on 20130206 at 20:55 
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