witness #3177

N: 47,525
|A|: 150
exponent log |A| / log N: 0.4653

status: current record for this modulus
submitted by: David Renshaw
submitted at: 2026-08-17 17:48:56 UTC

Elements (150)

0, 5, 50, 55, 125, 130, 325, 330, 400, 405, 450, 455, 1901, 1924, 1951, 1974, 2026, 2049, 2226, 2249, 2301, 2324, 2351, 2374, 5706, 5721, 5756, 5771, 5831, 5846, 6031, 6046, 6106, 6121, 6156, 6171, 9505, 9520, 9524, 9529, 9555, 9570, 9574, 9579, 9630, 9645, 9649, 9654, 9830, 9845, 9849, 9854, 9905, 9920, 9924, 9929, 9955, 9970, 9974, 9979, 11411, 11419, 11461, 11469, 11536, 11544, 11736, 11744, 11811, 11819, 11861, 11869, 19014, 19064, 19139, 19339, 19414, 19464, 20926, 20934, 20976, 20984, 21051, 21059, 21251, 21259, 21326, 21334, 21376, 21384, 28519, 28520, 28534, 28569, 28570, 28584, 28644, 28645, 28659, 28844, 28845, 28859, 28919, 28920, 28934, 28969, 28970, 28984, 30419, 30421, 30469, 30471, 30544, 30546, 30744, 30746, 30819, 30821, 30869, 30871, 34236, 34241, 34286, 34291, 34361, 34366, 34561, 34566, 34636, 34641, 34686, 34691, 39921, 39924, 39971, 39974, 40046, 40049, 40246, 40249, 40321, 40324, 40371, 40374, 43726, 43776, 43851, 44051, 44126, 44176

Commentary

Base-slide of witness 2004 (N=47425): write x = q*1897 + e with small signed offsets e (25 blocks) and re-map to x = q*1901 + e mod 47525.

last edited by David Renshaw at 2026-08-17 17:48:56 UTC · history