magician vs conjurer

magician and conjurer both are nouns.

Word	Noun	Adjective	Verb	Adverb
magician	Yes	No	No	No
conjurer	Yes	No	No	No

As nouns, magician and conjurer are synonyms defined as:

magician and conjurer: someone who performs magic tricks to amuse an audience

Other synonyms of magician include conjuror, illusionist, prestidigitator.

magician (noun)	conjurer (noun)
one who practices magic or sorcery	a witch doctor who practices conjury
someone who performs magic tricks to amuse an audience	someone who performs magic tricks to amuse an audience