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Timeline for Factoring ideals into prime ideals

Current License: CC BY-SA 4.0

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Jun 6 at 5:10 comment added Aseel .A @ViktorVaughn Thank you so much, I do...
Jun 6 at 5:09 comment added Aseel .A @KCd got it , thanks
Jun 6 at 5:07 history edited Aseel .A CC BY-SA 4.0
added 12 characters in body
Jun 6 at 4:38 comment added Viktor Vaughn Your answer is correct, but since I don't have the book, I have no idea what Theorem 10.2.1 states. Reducing $X^2 - 366$ mod $2$ and $3$ will tell you the factorization of these ideals by Dedekind-Kummer (assuming you know that the ring of integers is $\mathbb{Z}[\sqrt{366}]$).
Jun 6 at 3:20 comment added KCd Please use LaTeX properly: your \sqrt366 comes out like $\sqrt{3}66$, which looks terrible. Put the entire number in braces, as \sqrt{366}. Then you get $\sqrt{366}$, which is what you want.
S Jun 5 at 21:26 review First questions
Jun 5 at 21:40
S Jun 5 at 21:26 history asked Aseel .A CC BY-SA 4.0