I’ve been writing up my work to make it more accessible to general readers – mathematically literate but not specialists. This has expanded it from 5 pages to more than 30, has clarified and corrected some arguments, and has also led to more discoveries. In particular, the theorem now seems proved for all square-free *n*, and (if a particular continued-fraction argument can be made rigorous) for all *n*<10^76 – this is only a finite number but it’s not small.

I’m going to give the draft to some friends to read, and if it survives their scrutiny then I’ll see about posting it here, either as a single PDF or as a series of blog articles like the excellent Fermat’s Last Theorem series.

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