Elements are defined by the number of protons in the nucleus, and aren't considered to be different when you change the number of neutrons on the nucleus. The opposite is true for atoms. All elements and their isotopes, elements with different numbers of neutrons, are considered different types of atoms.
There are about 118 different elements, each defined by the number of protons in their nuclei. Atoms of the same element can have different numbers of neutrons, forming isotopes, which increases the total number of distinct atoms to over 1,000. This variation allows many types of atoms to exist due to the isotopic differences among the elements.
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