Ruzsa’s genus-one problem

witness #222263

N
33,455
|A|
112
exponent log |A| / log N
0.452920
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 17:12:51 UTC

Elements (112)

0, 14, 35, 172, 173, 179, 180, 207, 208, 214, 215, 354, 357, 361, 364, 389, 392, 396, 399, 717, 719, 724, 726, 752, 754, 759, 761, 1260, 1267, 1295, 1302, 1439, 1440, 1446, 1447, 1474, 1475, 1481, 1482, 1621, 1624, 1628, 1631, 1656, 1659, 1663, 1666, 1984, 1986, 1991, 1993, 2019, 2021, 2026, 2028, 3794, 3829, 6335, 6349, 6370, 6507, 6508, 6514, 6515, 6542, 6543, 6549, 6550, 6689, 6692, 6696, 6699, 6724, 6727, 6731, 6734, 7052, 7054, 7059, 7061, 7087, 7089, 7094, 7096, 7595, 7602, 7630, 7637, 7774, 7775, 7781, 7782, 7809, 7810, 7816, 7817, 7956, 7959, 7963, 7966, 7991, 7994, 7998, 8001, 8319, 8321, 8326, 8328, 8354, 8356, 8361, 8363

Commentary

Compact integer witness obtained from witness #210885, with diameter 8363. Independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 17:12:51 UTC · history

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