Threaded connector for oil well casing string

A threaded tubular connection for a casing of an oil and gas well obtained by assembling male and female tool joints comprises, in order from a free edge (19) of the male tool joint: an inner metal-metal seal (25, 26), a first threaded portion (16a, 18a), an intermediate shoulder (22, 24), an intermediate metal-metal seal (27, 28), a second threaded portion (16b, 18b), the free edge (19) being at a non-zero axial distance (d) from the female tool joint, the thread portions each comprise a helix having a bearing flank, a thread crest, a clamping flank, and a thread root such that the bearing flank pitch (LFLp1, LFLb1) and the clamping flank pitch (SFLp1, SFLb1) of the first thread portion, respectively, the bearing flank pitch (LFLp2, LFLb2) and the clamping flank pitch (SFLp2, SFLb2) of the second thread portion, respectively, satisfy the condition: [mathematical formula 12] SFLb1 = LFLb1 = SFLb2 = LFLp1 = SFLp1 = LFLp2. 装配公和母工具接头获得的用于油气井套管的螺纹管状连接件，从公工具接头自由边缘(19)依次包括：内金属-金属密封(25、26)、第一螺纹部分(16a、18a)、中间肩台(22、24