ARTi
Birch and Swinnerton-Dyer Conjecture Game

The million-dollar mystery of elliptic curves

Chapter 1

The playground of elliptic curves

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Answer

Chapter 2

The million-dollar guess at Cambridge

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Answer

Chapter 3

The infinite hunt and the prize

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YOUR GOAL

Master of The million-dollar mystery of elliptic curves

Ch 3 · The infinite hunt and the prize
diego

diego The brilliant minds closing in

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diego Birch and Swinnerton-Dyer conjecture

Hit a zero at one, / the points go infinite, / a million-dollar win!

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diego Why the universe cares about the rank

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The brilliant minds closing in

diego While still unsolved, mathematicians have made major breakthroughs in proving parts of the conjecture.

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Guarding your digital secrets

diego Elliptic curves are the silent guardians of your online privacy and text messages.

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Birch's Infinite Chase
BETA

diego Birch's Infinite Chase

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Fun Fact

Only one solved: Out of the seven Millennium Prize Problems, only one has been solved so far—the Poincaré Conjecture, solved by Grigori Perelman in 2003.

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Glossary
rational point (noun)
A point on a mathematical curve whose coordinates are all rational numbers. In 2000, a million-dollar bounty was established to prove if certain curves have infinitely many of them.

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Gossip

If you won the $1 million prize, what would you do first?

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Quiz

What two major fields of mathematics does the Birch and Swinnerton-Dyer conjecture bridge together?

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diego

diego The million-dollar math bounty

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Quiz

Which mathematician won a Fields Medal and proved the Birch and Swinnerton-Dyer conjecture is true for at least 66% of curves?

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diego

diego Guarding your digital secrets

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Quiz

What is the total cash prize offered for solving the Birch and Swinnerton-Dyer conjecture?

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Quiz

What practical technology relies heavily on elliptic curves today?

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Quiz

Which organization established the $1 million Millennium Prize Problems in 2000?

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Quiz

How many Millennium Prize Problems have been successfully solved so far?

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Quiz

In what year did the Clay Mathematics Institute announce the Millennium Prize Problems?

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Quiz

Why does Elliptic Curve Cryptography prefer elliptic curves over standard multiplication?

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