witness #683

N: 4,943
|A|: 37
exponent log |A| / log N: 0.4245

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-04 20:54:16 UTC

Elements (37)

0, 20, 52, 54, 120, 130, 172, 386, 398, 430, 450, 456, 464, 528, 536, 546, 558, 2054, 2066, 2100, 2114, 2126, 2158, 2160, 2182, 2218, 2242, 2344, 2356, 2390, 2404, 2416, 2448, 2450, 2472, 2508, 2532

Commentary

This is witness#285 (N = 5009) with residue 74 removed. Modulo 4943, the original set's five ordered nontrivial solutions all contain 74, so the remaining 37-element set is valid.

last edited by David Renshaw at 2026-08-04 20:54:35 UTC · history