Ruzsa’s genus-one problem

witness #480

N
3,253
|A|
36
exponent log |A| / log N
0.4431
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 18:05:46 UTC

Elements (36)

818, 820, 823, 842, 847, 867, 868, 872, 873, 943, 945, 948, 967, 972, 992, 993, 997, 998, 1443, 1445, 1448, 1467, 1472, 1492, 1493, 1497, 1498, 1568, 1570, 1573, 1592, 1597, 1617, 1618, 1622, 1623

Commentary

Found by applying the affine map x -> 204x + 2031 modulo 3259 to witness#416 and reducing the resulting representatives modulo 3253; all 36 elements survive without creating a nontrivial solution.

last edited by David Renshaw at 2026-08-04 18:06:00 UTC · history

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