contemporary vs modern

contemporary and modern both are nouns.

Word	Noun	Adjective	Verb	Adverb
contemporary	Yes	Yes	No	No
modern	Yes	Yes	No	No

contemporary (noun)	modern (noun)
a person of nearly the same age as another	a typeface (based on an 18th century design by Gianbattista Bodoni) distinguished by regular shape and hairline serifs and heavy downstrokes
	a contemporary person

contemporary (adjective)	modern (adjective)
belonging to the present time	belonging to the modern era; since the Middle Ages
characteristic of the present	relating to a recently developed fashion or style
occurring in the same period of time	characteristic of present-day art and music and literature and architecture
	ahead of the times