Intrigued by The latter sounds a little awkward. The first is what I usually hear.|"I was intrigued"- I was interested/curious "I was intrigued with the book" I was interested/curious because of the book. Although it's better to use "intrigued by" instead of "intrigued with" |Oh my goodness I read the question wrong! Well basically intrigued by and intrigued with are the same but it's better ... More @Wikipedia
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