I understand that Bose Einstein condensate is:
A Bose–Einstein condensate (BEC) is a state of matter of a dilute gas of bosons cooled to temperatures very close to absolute zero. Under such conditions, a large fraction of bosons occupy the lowest quantum state, at which point microscopic quantum phenomena, particularly wavefunction interference, become apparent.
I understand that all the particles in the condensate will be described by the same wavefunction.
Now entanglement is:
Quantum entanglement is a physical phenomenon which occurs when pairs or groups of particles are generated, interact, or share spatial proximity in ways such that the quantum state of each particle cannot be described independently of the state of the other(s), even when the particles are separated by a large distance—instead, a quantum state must be described for the system as a whole.
I understand that entangled particles can be described by the same wavefunction too.
So in both cases the particles can be described by the same wavefunction.
Is BEC the same as entanglement for a larger (macroscale) number of particles?
What is the real difference between BEC and entanglement, other then the number of particles?