Prime Minister’s paradise? (4)

I believe the answer is:

eden

This clue is a double definition.

'prime minister's' is the first definition.
(Anthony Eden, UK PM 1955-57)

'paradise?' is the second definition.
(Garden of Eden)

(Other definitions for eden that I've seen before include "Delightful place" , "The near-perfect garden" , "Someone once seen in Number Ten's" , "Need an odd garden?" , "PM 1955-56" .)

I've seen this clue in The Times.

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