  A new mass formula capable of explaining the binding energies of almost all
the known isotopes from Li to Bi is prescribed. In addition to identifying the
new magic number at neutron number N=16 (Z=7-9), pseudo-magic numbers at N=14
(Z=7-10), Z=14 (N=13-19), and at N=6 (Z=3-8), the formula accounts for the loss
of magicity for nuclei with N=8 (Z=4) and N=20 (Z=12-17). The redefinition of
the neutron drip line resulting from this formula further allows us to predict
the existence of 26O,31F, 32Ne, 35Na, 38Mg, 41Al as bound nuclei and 28O as
unbound.
