101676212714831355694575888206966874363336396275720105226052232701^4+20231*31727598748197473345885343123659502881847365053474421760771870169^4=151489843798193521932246795314946702639250276149119816910596323243^4+20231*31563915380058746060820327756818891368799303052735558773390268817^4

#numbertheory

519702189034876115603471809211407097922819605777820562623^4+20231*38735808792741727559149267698986929393568549478533044516^4=586683368807946325528865223708079403373031260914345992449^4+20231*5918311055971745724446341965461274239905887279150575368^4

#math #numbertheory #diophantineequation

206245351^4+20249*21875257^4=276369315^4+20249*13186725^4

767012416799120217089838921887104^4+20249*38728997967614329313665892755303^4=779320601197025466291336222161820^4+20249*32574905768661704712917242617945^4

#math #numbertheory #diophantineequation

The key difference between a drifting bound and a 7/8 wall

Classical zero-free boundaries for ζ(s) generally bend toward Re(s) = 1 as the imaginary height grows.

#riemannzeta #numbertheory #complexanalysis #riemannhypothesis

How Prime Factorization Turns Zeta Into a Product

The zeta function begins as a sum over every positive integer.

#zetafunction #primefactorization #numbertheory #eulerproduct

25930550347^4+20119*2001475767^4=29547511677^4+20119*892093297^4

#math #numbertheory #diophantineequation

Why a Fixed 7/8 Zero-Free Wall Is Different

A zero-free region that drifts toward 1 at higher heights is qualitatively different from a fixed vertical wall at real part 7/8.

#riemannzeta #numbertheory #riemannhypothesis #complexanalysis

55385851919478448938434590102341411^4+20119*8034342478771132839189344104523674^4=61762875094966608026155667282886319^4+20119*7908215459949264880113348846838596^4

#math #numbertheory #diophantineequation

75407654207812486^4+20119*65917364667891361^4=559990064916623384^4+20119*61162179156995813^4

#math #numbertheory #diophantineequation

146907634089113013718509823689018660940289606385^4+20107*63077678485527046718529157186717222996678544638^4=456673308289391872092093881543336552076615018895^4+20107*60828591194584496630904465955009933457851620366^4

#math #numbertheory #diophantineequation

A 7/8 Wall Is Not the Riemann Hypothesis

#riemannhypothesis #numbertheory #zetafunction #mathematics

326646532263012904^4+18311*114702051298947271^4=696313211630008382^4+18311*112622336232835237^4

#math #numbertheory #diophantinequation

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

#postdoc #mathsky #numbertheory

Cracking Diophantine equations with Simon's Favorite Factoring Trick! 🎯

👉 https://mysovi.ai/ask-sovi?u=sct

#AMC #NumberTheory #SFFT #Diophantine #SoviAI

13588707733918725932095023^4+20107*1977659850665487752471563^4=23264715203884583389168089^4+20107*1247675972656464733219459^4

#math #numbertheory #diophantineequation

372 Result Families, and More Proofs Than Humans Can Read

#mathematics #proofs #numbertheory #formalmathematics

How Elliptic Curves Could Encode Integers Inside Rationals

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#ellipticcurves #numbertheory #undecidability #hilbertstenth

OpenAI Claims Hilbert’s 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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#numbertheory #riemannzeta #lfunctions #mathematics

Why 7/8 Matters in OpenAI’s Zeta-Function Claim

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#numbertheory #riemannzeta #lfunctions #lean