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We argue that it may be possible to exploit neutrinos from the CN cycle andpp chain to determine the primordial solar core abundances of C and N at aninteresting level of precision. Such a measurement would allow a comparison ofthe Sun's deep interior composition with it surface, testing a key assumptionof the standard solar model (SSM), a homogeneous zero-age Sun. It would alsoprovide a cross-check on recent photospheric abundance determinations that havealtered the once excellent agreement between the SSM and helioseismology. Asfurther motivation, we discuss a speculative possibility in which photosphericabundance/helioseismology puzzle is connected with the solar-system metaldifferentiation that accompanied formation of the gaseous giant planets.  The theoretical relationship between core C and N and the 13N and 15O solarneutrino fluxes can be made more precise (and more general) by making use ofthe Super-Kamiokande and SNO 8B neutrino capture rates, which calibrate thetemperature of the solar core. The primordial C and N abundances can then beobtained from these neutrino fluxes and from a product of nuclear rates, withlittle residual solar model dependence. We describe some of the recentexperimental advances that could allow this comparison to be made(theoretically) at about the 9% level, and note that this uncertainty may bereduced further due to ongoing work on the S-factor for 14N(p,gamma). Theenvisioned measurement might be possible in deep, large-volume detectors usingorganic scintillator, e.g., Borexino or SNO+

CN-Cycle Solar Neutrinos and Sun's Primordial Core Metalicity