Ruzsa’s genus-one problem

witness #985

N
3,187
|A|
34
exponent log |A| / log N
0.4371
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-05 02:19:32 UTC

Elements (34)

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

This is witness #984 transferred unchanged from modulus 3203 to modulus 3187. Direct enumeration at the new modulus gives exactly 34 solutions to a+3b=2c+2d, all diagonal. A 1,500,000-step randomized extension walk did not find a 35th element.

last edited by David Renshaw at 2026-08-05 02:19:43 UTC · history

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