integer vs modulus

integer and modulus both are nouns.

Word	Noun	Adjective	Verb	Adverb
integer	Yes	No	No	No
modulus	Yes	No	No	No

As nouns, modulus is a hyponym of integer; that is, modulus is a word with a more specific, narrower meaning than integer:

integer: any of the natural numbers (positive or negative) or zero
modulus: an integer that can be divided without remainder into the difference between two other integers

integer (noun)	modulus (noun)
any of the natural numbers (positive or negative) or zero	(physics) a coefficient that expresses how much of a specified property is possessed by a specified substance
	the absolute value of a complex number
	an integer that can be divided without remainder into the difference between two other integers