FA-15524 / Numerics / Member archive
Lucas binomial residue: remaining digit termination · case 04
The exact lucas binomial residue result violates the stated contract at remaining digit termination.
Case contract
Input [n,k,p], n,k>=0 p prime; return binomial(n,k) modulo p, zero when k>n. Bounds: n,k<2^30.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | 1 | 0 | Failed |
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