Skip to content

Commit

Permalink
Part of claim 2 (#11)
Browse files Browse the repository at this point in the history
* Part of claim 2

* Fix escape
  • Loading branch information
metakunt authored Aug 27, 2024
1 parent 4c23080 commit 0e32fdb
Showing 1 changed file with 17 additions and 0 deletions.
17 changes: 17 additions & 0 deletions AKS (PRIMES is in P)/claim2p1.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,17 @@
+++
reference = "Part of Claim 2 from ~ https://www3.nd.edu/%7eandyp/notes/AKS.pdf"
state = "Draft"
statement = """
$e |- ( ph -> P e. Prime ) $.
$e |- X = ( GFoo ` P ) $.
$e |- B = ( Base ` X ) $.
$e |- ( ph -> R e. PrimRoot ) $.
$e |- ( ph -> CurlyPbar = { y e. B | E. f e. CurlyP y = ( f ` R ) } ) $.
$e |- ( ph -> T = ( ( X ^ M ) - ( X ^ N ) ) ) $.
$e |- ( ( ph /\\ x e. CurlyPbar ) -> ( T ` x ) = 0 ) $.
$p |- ( ph -> ( # ` CurlyPBar ) <_ ( ( deg1 ` R ) ` T ) ) $.
"""
dependencies = ["fta1g"]
+++
If every element of CurlyPBar is a root of T, then the elements of CurlyPBar are bound by the degree of T.
Also, not as a statement, but the degree of T is greater equal than $N^{\sqrt{\bar \mathcal{R}\bar}}$

0 comments on commit 0e32fdb

Please sign in to comment.