Why Did Neutrons Decay in the Early Universe?

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bobsmith76
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In the
early universe electrons and protons would combine to form neutrons and few, if
any, protons would remain. If the mass difference were greater than the binding
energies of nuclei, neutrons inside nuclei would decay leaving no nuclei behind.


Does anyone know why the above statement is true?
 
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If the mass difference were greater than the binding
energy of A SPECIFIC NUCLEUS, neutrons inside THAT NUCLEUS would BETA decay leaving no nuclei OF THAT SPECIFIC TYPE behind, unless its lifetime were longer than the age of the universe.
If that were true for ALL nuclei, I woud not be typing this.

If that