Assumptions, declaration  

Title of talk 

Abstract 

Some history: Wilson and Lagrange 

Initial engagement, and seeing the first light 

The alpha question became the alpha conjecture 

The (beautiful) cube-square relationship 

A diary entry, some emails, the inexplicable clarifies 

The Jacobi order 9 primes: two other quadratics 

You like quadratics? Here's 7 more 

Cube-square identities 

Main outstanding problem 

Some remarks about computation times 

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