University of Bath (@uniofbath.bsky.social) is hiring:
Research Associate in Number Theory

University of Bath (@uniofbath.bsky.social) is hiring:
Research Associate in Number Theory
Cracking Diophantine equations with Simon's Favorite Factoring Trick! ๐ฏ
13588707733918725932095023^4+20107*1977659850665487752471563^4=23264715203884583389168089^4+20107*1247675972656464733219459^4
372 Result Families, and More Proofs Than Humans Can Read
How Elliptic Curves Could Encode Integers Inside Rationals
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#ellipticcurves #numbertheory #undecidability #hilbertstenth
OpenAI Claims Hilbertโs Tenth Problem Over Q Is Undecidable
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#hilbertstenthproblem #undecidability #numbertheory #rationals
How One Arithmetic Sum Creates a 7/8 Zero-Free Wall
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Why 7/8 Matters in OpenAIโs Zeta-Function Claim
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OpenAI Did Not Solve the Riemann Hypothesis
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#riemannhypothesis #zetafunction #numbertheory #complexanalysis
The Chicken McNugget Theorem makes the Frobenius coin problem a 10-second mental calculation!
๐ https://mysovi.ai/apps/cheatsheet/?u=sct
#AMC10 #NumberTheory #FrobeniusProblem #CompetitionMath #SoviAI
223742512918749346609786179752161653286102353690960690697^4+20078*231046710546790758111592438948397244294413610762334214839^4=2573548143736256985655031537873968142562445249429601322913^4+20078*160587561256127181729281787405237170584976871860772557197^4
203583754762327689^4+20078*13433929914150867^4=208383223414477079^4+20078*12474036183720989^4
718901034532286548723430458587047903777397151289239^4+12391*57451008357573276494993444645137467164876367078809^4=727061994739772229807032044735698076441939872261067^4+12391*56090848322992329647726513620362438387452580250171^4
Can the Rational Root Theorem prove that โ2 is irrational? ๐ค
I explore the proof step by step, reducing the problem to just four possible rational roots.
Read the full article ๐
939545399350466362874634035776158804500991903^4+20017*7478429564758197225736145727973388978234581^4=939562148532465410546065653604046948957466009^4+20017*4330915695646954397039401839963083333974397^4
-99301031^3-124782785^3+142966264^3=8328
Are 14 rules of modular arithmetic really just 4 simple ideas ? ๐ค
I explore the connections in my latest article. ๐ข
17893724824354646825889560745309294^4+9562*2010207756049763822382973139363269^4=19817971106851382726167226474524114^4+9562*1817783127800090232355206566441787^4