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3

I offer no proof, but some evidence: An 87-clue Pencilmark Sudoku: +=====+=====+=====+=====+=====+=====+=====+=====+=====+ | 1.. | 123 | 123 | 123 | 123 | 123 | 123 | 123 | ..3 | | ..6 | 4.6 | .56 | 456 | 45. | 456 | 456 | .5. | ... | | 789 | 789 | 789 | 789 | 789 | 789 | 789 | .89 | ..9 | +-----+-----+-----+-----+-----+-----+-----+-----+-----+ | 123 | ...


-2

I don't have a lot of calculations, but here is my answer. My reasoning: Update based on comment feedback:


4

(Very) partial answer (just a bit too long for a comment): Proof:


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