We report the serendipitous detection of two 3 mm continuum sources found in deep ALMA Band 3 observations to study intermediate redshift galaxies in the COSMOS field. One is near a foreground galaxy at 1. 3, but is a previously unknown dust-obscured star-forming galaxy (DSFG) at probable z CO = 3.329, illustrating the risk of misidentifying shorter wavelength counterparts. The optical-tomm spectral energy distribution (SED) favors a grey λ −0.4 attenuation curve and results in significantly larger stellar mass and SFR compared to a Calzetti starburst law, suggesting caution when relating progenitors and descendants based on these quantities. The other source is missing from all previous optical/near-infrared/sub-mm/radio catalogs ("ALMA-only"), and remains undetected even in stacked ultradeep optical (> 29.6 AB) and near-infrared (> 27.9 AB) images. Using the ALMA position as a prior reveals faint SN R ∼ 3 measurements in stacked IRAC 3.6+4.5, ultradeep SCUBA2 850µm, and VLA 3GHz, indicating the source is real. The SED is robustly reproduced by a massive M * = 10 10.8 M and M gas = 10 11 M , highly obscured A V ∼ 4, star forming SF R ∼ 300 M yr −1 galaxy at redshift z = 5.5±1.1. The ultrasmall 8 arcmin 2 survey area implies a large yet uncertain contribution to the cosmic star formation rate density CSFRD(z=5) ∼ 0.9 × 10 −2 M yr −1 Mpc −3 , comparable to all ultraviolet-selected galaxies combined. These results indicate the existence of a prominent population of DSFGs at z > 4, below the typical detection limit of bright galaxies found in single-dish sub-mm surveys, but with larger space densities ∼ 3 × 10 −5 Mpc −3 , higher duty cycles 50 − 100%, contributing more to the CSFRD, and potentially dominating the high-mass galaxy stellar mass function.