Ruzsa’s genus-one problem

witness #1633

N
41,125
|A|
126
exponent log |A| / log N
0.4552
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:33:51 UTC

Elements (126)

0, 6, 21, 31, 40, 48, 50, 115, 121, 875, 881, 896, 906, 915, 923, 925, 990, 996, 18125, 18131, 18146, 18156, 18165, 18173, 18175, 18240, 18246, 18375, 18381, 18396, 18406, 18415, 18423, 18425, 18490, 18496, 19000, 19006, 19021, 19031, 19040, 19048, 19050, 19115, 19121, 19250, 19256, 19271, 19281, 19290, 19298, 19300, 19365, 19371, 29875, 29881, 29896, 29906, 29915, 29923, 29925, 29990, 29996, 30375, 30381, 30396, 30406, 30415, 30423, 30425, 30490, 30496, 30750, 30756, 30771, 30781, 30790, 30798, 30800, 30865, 30871, 31250, 31256, 31271, 31281, 31290, 31298, 31300, 31365, 31371, 36000, 36006, 36021, 36031, 36040, 36048, 36050, 36115, 36121, 36125, 36131, 36146, 36156, 36165, 36173, 36175, 36240, 36246, 36875, 36881, 36896, 36906, 36915, 36923, 36925, 36990, 36996, 37000, 37006, 37021, 37031, 37040, 37048, 37050, 37115, 37121

Commentary

Lift of the new 14-point compressed factor at N=329: A=A_125+125 A_329. This factor comes from the iterative compression chain 343 -> 329. The mixed-radix construction yields 9*14=126 valid points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:33:51 UTC · history

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