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When would the atomic number not equal the proton number?

I had assumed they were interchangeable terms, but on wikipedia I just read:

‘The atomic number or nuclear charge number (symbol Z) of a chemical element is the charge number of an atomic nucleus. **For ordinary nuclei composed of protons and neutrons**, this is equal to the proton number (np) or the number of protons found in the nucleus of every atom of that element.’

What kind of unordinary nucleus would make these different? Is there something else in the nucleus included in the atomic but not the proton number?
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