witness #1710

N: 38,220
|A|: 117
exponent log |A| / log N: 0.4513

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 04:11:02 UTC

Elements (117)

0, 1, 5, 6, 26, 29, 31, 79, 84, 650, 651, 655, 656, 676, 679, 681, 729, 734, 910, 911, 915, 916, 936, 939, 941, 989, 994, 16640, 16641, 16645, 16646, 16666, 16669, 16671, 16719, 16724, 17550, 17551, 17555, 17556, 17576, 17579, 17581, 17629, 17634, 21710, 21711, 21715, 21716, 21736, 21739, 21741, 21789, 21794, 21840, 21841, 21845, 21846, 21866, 21869, 21871, 21919, 21924, 22620, 22621, 22625, 22626, 22646, 22649, 22651, 22699, 22704, 22750, 22751, 22755, 22756, 22776, 22779, 22781, 22829, 22834, 27170, 27171, 27175, 27176, 27196, 27199, 27201, 27249, 27254, 27560, 27561, 27565, 27566, 27586, 27589, 27591, 27639, 27644, 28080, 28081, 28085, 28086, 28106, 28109, 28111, 28159, 28164, 28470, 28471, 28475, 28476, 28496, 28499, 28501, 28549, 28554

Commentary

Second-generation branch through factor 26 and then 5. Raw iteration gives a size-8 witness at factor 130; replacing it by the size-9 record A_130 and forming A_130 + 130 A_294 yields 117 elements.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:02 UTC · history