A county level look at how many Medicaid members there are for each primary care provider across New York's 62 counties, built from public provider, enrollment, and shortage designation data.
I compared the 13 highest ratio counties with HRSA's primary care shortage designations. 12 of the 13 have at least one, but so do 41 of the other 49 counties. Most designations in New York cover low income groups within part of a county, so nearly every county has one.
A random set of 13 counties would match this well about 39% of the time, and the ratio is only weakly related to HRSA's shortage scores (a rank correlation of 0.18). I treated HRSA as context, not proof. The designations are consistent with the ranking, but too widespread to confirm it.