Ruzsa’s genus-one problem

witness #2325

N
5,537
|A|
48
exponent log |A| / log N
0.4491
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 19:40:37 UTC

Elements (48)

15, 18, 242, 244, 581, 692, 693, 2395, 2398, 2402, 2405, 2622, 2624, 2629, 2631, 2961, 2968, 3072, 3073, 3079, 3080, 3959, 3970, 3973, 4183, 4185, 4197, 4199, 4522, 4536, 4633, 4634, 4647, 4648, 4747, 4750, 4768, 4771, 4974, 4976, 4995, 4997, 5313, 5334, 5424, 5425, 5445, 5446

Commentary

N=336-derived exact 7-adic self-lift. At q=113 a low-width GL2(7) orientation concentrates all wraparound conflicts on one vertex; deleting that point gives this valid 48-set.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:37 UTC · history

Log in to add commentary.