We report the pressure effect in Bi 2 Sr 2 Ca 2 Cu 3 O 10+δ (Bi-2223) single crystal with a small amount of intergrowth of Bi 2 Sr 2 CaCu 2 O 8+δ (Bi-2212). Their superconducting transition temperatures T c s showed a domelike shape as a function of pressure, which showed a good agreement with the general relation between the carrier concentration and T c . Our experimental results indicate that high pressure can induce effective carrier doping into the multilayered high-T c cuprate superconductor.Several studies reported that the superconducting transition temperature (T c ) of cuprate superconductors can be enhanced by applying pressure. 1-9) The highest T c above 160 K among cuprates has been observed in HgBa 2 Ca 2 Cu 3 O 8+δ (Hg-1223) under 20-30 GPa. [1][2][3] According to recent results investigating the pressure effect up to about 20 GPa in Hg-1223 4) and YBa 2 Cu 4 O 8 (Y-124), 5) T c shows a dome-like shape as a function of applied pressure P, which is similar to the general relationship between the carrier concentration and T c . The pressure dependence of the Hall coefficient in YBa 2 Cu 3 O 7−δ , Y-124, Bi 2 Sr 2 CaCu 2 O 8+δ and Tl 2 Ba 2 CuO 6+δ , also indicates that effective carrier doping can be induced by pressure. 6) The structure of cuprates alternately stacks a superconducting CuO 2 plane and insulating charge reservoir layer (CRL). It is empirically known that the T c of cuprate superconductors enhances with increasing the number of CuO 2 planes (n) per unit cell from 1 to 3 and decreases with further increasing n from 4. [10][11][12][13][14][15][16][17] It should be noted that the number of CRLs does not change even when n increases. The homologous series of the high-T c cuprates are described by two universal composition ratios, M-12(n-1)n or M-22(n-1)n, where M is an element forming the CRL. As the distance between the CRLs and inner CuO 2 planes increases, the doping level of inner CuO 2 planes decreases. 16) The nuclear magnetic resonance measurements in * ADACHI.Shintaro@nims.go.jp arXiv:1810.08981v2 [cond-mat.supr-con]