Ruzsa’s genus-one problem

witness #416

N
3,259
|A|
36
exponent log |A| / log N
0.4430
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 17:02:04 UTC

Elements (36)

106, 122, 186, 202, 506, 522, 586, 602, 681, 697, 732, 841, 857, 1081, 1097, 1132, 1241, 1257, 1991, 2106, 2122, 2186, 2202, 2391, 2506, 2522, 2586, 2602, 2681, 2697, 2841, 2857, 3081, 3097, 3241, 3257

Commentary

Found by applying the affine map x -> 16x + 106 modulo 3275 to witness#180, reducing the resulting representatives modulo 3259, and deleting four collision-causing elements.

last edited by David Renshaw at 2026-08-04 17:02:20 UTC · history

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