By means of low-temperature scanning tunneling microscopy, we report on the electronic structures of BiO and SrO planes of Bi2Sr2CuO 6+δ (Bi-2201) superconductor prepared by argon-ion bombardment and annealing. Depending on post annealing conditions, the BiO planes exhibit either a pseudogap (PG) with sharp coherence peaks and an anomalously large gap magnitude of 49 meV or van Hove singularity (VHS) near the Fermi level, while the SrO is always characteristic of a PG-like feature. This contrasts with Bi2Sr2CaCu2O 8+δ (Bi-2212) superconductor where VHS occurs solely on the SrO plane. We disclose the interstitial oxygen dopants (δ in the formulas) as a primary cause for the occurrence of VHS, which are located dominantly around the BiO and SrO planes, respectively, in Bi-2201 and Bi-2212. This is supported by the contrasting structural buckling amplitude of BiO and SrO planes in the two superconductors. Our findings provide solid evidence for the irrelevance of PG to the superconductivity in the two superconductors, as well as insights into why Bi-2212 can achieve a higher superconducting transition temperature than Bi-2201, and by implication, the mechanism of cuprate superconductivity.PACS numbers: 74.72. Gh, 68.37.Ef, 74.62.Dh, 74.25.Jb In high-transition temperature (T c ) cuprate superconductors, the maximum T c (T c, max ) varies substantially with the number (n) of CuO 2 planes in one unit cell, and peaks at n = 31 . In bismuth-based cuprates, for example, T c, max is approximately 34 K, 90 K, and 110 K for n = 1, 2, 3, respectively 2 . It has led to numerous competing proposals to explain this intriguing phenomenon, which include interlayer quantum tunneling of Cooper pairs 3-5 , intralayer hopping 6 , the energy level of apical oxygen 7 , magnetic exchange interactions 8,9 , and so on. Thus far, however, a consensus on which factor controls T c in cuprate superconductors has not yet been reached, partially due to a lack of knowledge about the detailed electronic properties outside the superconducting CuO 2 planes, which are anti-ferromagnetic insulators without doping. Indeed, it has long been hypothesized that outof-plane apical oxygen plays a primary role in determining the optimal T c of cuprate superconductors 7,10,11 . Identification of the out-of-plane effects are thus imperative to understanding T c, max and superconductivity mechanism in cuprates 12 , but extremely challenging because technically it demands nonstandard, profile-based preparation and imaging techniques.Cuprate superconductivity develops when the insulating CuO 2 planes are either electron or hole-doped by substitutional or interstitial chemical doping, e.g. excess oxygen dopants in the hole-doped cuprate superconductors. In addition to enabling superconductivity, the doping can lead to startling nanoscale electronic inhomogeneity and disordering 13 . The latter is usually detrimental to superconductivity 14 . However, its effect has been overemphasized over the past two decades 15-17 : the experimental efforts in minimizing thi...