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### On Prufer domains

Are there any Prufer domains that have an infinity of prime ideals but only one of those primes is not finitely generated?

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### Is the ring of all cyclotomic integers a Bezout domain?

My previous question about the theorem (apparently due to Dedekind -- thanks, Arturo Magidin!) that the ring $\overline{\mathbb{Z}}$ of all algebraic integers is a Bezout domain got me thinking about ...