Cuales son los nombres que puede tener el primer numero cuántico

Principal quantum number (official) Energy level (also used)

Explanation:

Translation:

What names can the first quantum number have?

Solution

Electrons in an atom are identified by four quantum numbers. Two electrons in one atom cannot have the same set of four quantum numbers.

This first quantum number is identified by the letter n and is named Principal quantum number. It can have only positive integer values: 1, 2,3, 4, 5, 6, 7, ...

Thus, the official name of the first quantum number is Principal quantum number.

The first quantum number indicates the main energy level which is related with the size of the orbitals: the larger the principal quantum number the farther the electron cloud is from the atomic nucleus. Thus, it is also used the name energy level to refer to the first quantum number.

Notice that the principal quantum number is also the number of the period of the element in the periodic table.