Though k=30 had been ruled out, it's now time to rule out k=31.
@wjblanke and I were able to get a k=31 phase 1 to complete in about 16 minutes on $4,000.00 equivalent hardware. That means that in two Moore's Law cycles of 18 months, a k=31 phase 1 arguably can be completed in 4 minutes. Since it's theoretically possible to farm at the end of phase 1, that's cutting it too close.
Someday the minimum k will go up from 32. However we'd like that to be more like 10 years from now rather than the 2-3 years that making k=31 minimum would have caused.
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