The invention relates to a
nuclear reactor provided with a nuclear core (6), arranged on a support (6a) in a bottom of a cylindrical vessel (9) oriented along a
vertical axis, filled with a heat-transfer liquid, in particular water, under an upper dome of the vessel, comprising an annular primary exchanger (91) surrounding a
flue (9a) for installing and extracting the core, the exchanger starting above the core, extending along the cylindrical wall of the vessel under the dome, and comprising a primary circuit consisting of the heat-transfer liquid circulating in the core and in the primary exchanger by
convection, for which a first part of the cylindrical wall (94) of the vessel (9) is surrounded by a first annular casing (1a) forming a cold plenum (83) in communication with an inlet (91a) of a
secondary circuit of the exchanger (91) in the lower part of the exchanger and extending from the bottom of the vessel to below an outlet (91b) of the primary exchanger. A second part of the cylindrical wall is surrounded by a second annular casing (1b), above the first annular casing (1a), forming a hot plenum in communication with the outlet (91b) of the
secondary circuit of the exchanger (91) in the upper part of the exchanger, an intermediate heat extraction circuit comprising a first
pipe (81), for the inflow of cold heat-transfer liquid, opening out in the upper part of the first casing (1a), while a second starting
pipe for hot heat-transfer liquid exits in the upper part of the second casing (1b).