witness #2019

N: 3,209
|A|: 31
exponent log |A| / log N: 0.4253

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-09 11:47:55 UTC

Elements (31)

0, 8, 78, 82, 215, 243, 254, 266, 282, 294, 301, 309, 329, 337, 407, 435, 544, 583, 595, 611, 630, 638, 708, 712, 740, 1013, 1865, 1879, 3118, 3123, 3174

Commentary

Further improves witness 2012. Found by breakout-weighted search; independently verified by an exhaustive ordered-quadruple check (31 solutions, all diagonal).

last edited by David Renshaw at 2026-08-09 11:47:55 UTC · history