1A number which is not a fraction; a whole number:[as modifier]:integer values...
What about those integers in the continued fraction forms of the powers?
Whole numbers or integers are often the subject of such pursuits.
When talking about modular arithmetic it is important to remember that we are only allowed to use integers, that is whole numbers.
2A thing complete in itself.
Origin
Early 16th century (as an adjective meaning 'entire, whole'): from Latin, 'intact, whole', from in- (expressing negation) + the root of tangere 'to touch'. Compare with entire, also with integral, integrate, and integrity.