This market resolves YES if, before 12:00 AM ET on January 1, 2027, someone publicly identifies a valid new term of A390875 greater than 137724785: an integer k for which the 3-node triangle parity-routing process modulo k, starting from (1,1,1), does not halt for at least one of the 8 routing rules.

Known terms: 59, 107821, 3899141, 137724785

A valid claim should include enough information to independently verify it (k, the rule set, cycle entry step, and cycle length). The k does not need to be proven to be the smallest such value above 137724785 — any verifiable non-halting k above it counts.

The market resolves NO if no valid term is publicly identified by the deadline.

OEIS entry: https://oeis.org/A390875