Recent determinations of the deuterium abundance, H-2/H, in high redsh
ift Lyman limit hydrogen clouds challenge the usual picture of primord
ial nucleosynthesis based on ''concordance'' of the calculated light e
lement (H-2, He-3, (4)Ke, Li-7) nucleosynthesis yields with the observ
ationally-inferred abundances of these species. Concordance implies th
at all light element yields can be made to agree with the observationa
lly-inferred abundances (within errors) for single global specificatio
ns of the baryon-to-photon ratio, eta; lepton number; neutron lifetime
; and expansion rate (or equivalently, effective number of light neutr
ino degrees of freedom N-v). Though one group studying Lyman limit sys
tems obtains a high value of H-2/H (similar to 2 x 10(-4)), another gr
oup finds consistently low values (similar to 2 x 10(-5)). In the form
er case, concordance for N-v = 3 is readily attained for the current o
bservationally-inferred abundances of He-4 and Li-7. But if the latter
case represents the primordial deuterium abundance, then concordance
for any N-v is impossible unless the primordial value of Li-7/H is con
siderably larger than the abundance of lithium as measured in old, hot
Pop II halo stars. Furthermore, concordance with N-v = 3 is possible
for low H-2/H only if either (1) the primordial He-4 abundance has bee
n significantly underestimated, or (2) new neutrino sector physics is
invoked. We argue that systematic underestimation of both the Li-7 and
He-4 primordial abundances is the likely resolution of this problem,
a conclusion which is strengthened by new results on He-4.