Ruzsa’s genus-one problem

witness #983

N
2,677
|A|
29
exponent log |A| / log N
0.4266
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-05 02:08:10 UTC

Elements (29)

41, 69, 86, 107, 160, 163, 188, 217, 245, 278, 287, 315, 328, 401, 422, 450, 475, 504, 532, 537, 565, 574, 602, 643, 660, 688, 709, 824, 2550

Commentary

At modulus 2677, start from witness#972, remove residue 41 to hit all four nontrivial ordered solutions, and add 287 and 615 to obtain a valid 28-set. A subsequent valid-set walk produced this 29-element set.

last edited by David Renshaw at 2026-08-05 02:08:24 UTC · history

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