magician vs conjuror

magician and conjuror both are nouns.

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

As nouns, magician and conjuror are synonyms defined as:

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

Other synonyms of magician include conjurer, illusionist, prestidigitator.

magician (noun)	conjuror (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