Problem 556 (View Problem)
The Factorization of 1+3i seams to be wrong:
It should be (1+i)*(2+i)
Problem 556
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Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
- mpiotte
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Re: Problem 556
Thanks, corrected.v6ph1 wrote:Problem 556 (View Problem)
The Factorization of 1+3i seams to be wrong:
It should be (1+i)*(2+i)
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Swistakk
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Re: Problem 556
Well, not really...mpiotte wrote: Sun Apr 17, 2016 3:28 pmThanks, corrected.v6ph1 wrote:Problem 556 (View Problem)
The Factorization of 1+3i seams to be wrong:
It should be (1+i)*(2+i)

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echip
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Re: Problem 556
You say it's corrected, But I see (1+i)*(1+2*i)mpiotte wrote: Sun Apr 17, 2016 3:28 pmThanks, corrected.v6ph1 wrote:Problem 556 (View Problem)
The Factorization of 1+3i seams to be wrong:
It should be (1+i)*(2+i)
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skoczian
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- Joined: Sat May 25, 2013 4:43 pm
Re: Problem 556
This factorization occurs twice in the problem text. Only once it's corrected:mpiotte wrote: Sun Apr 17, 2016 3:28 pmThanks, corrected.v6ph1 wrote:Problem 556 (View Problem)
The Factorization of 1+3i seams to be wrong:
It should be (1+i)*(2+i)
Here it's correct.A Gaussian integer can be uniquely factored as the product of a unit and proper Gaussian primes.
For example 2 = -i(1 + i)2 and 1 + 3i = (1 + i)(2 + i).
And in the next paragraph:
Still wrong.For example f(10) = 7 because 1, 1 + i, 1 + 2i, 1 + 3i = (1 + i)(1 + 2i), ...
- RobertStanforth
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Re: Problem 556
Thank you everyone for flagging this. The second occurrence has now been corrected to read (1+3i)=(1+i)(2+i).
