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We use the SCUBA-2 submillimeter camera mounted on the JCMT to obtainextremely deep number counts at 450 and 850um. We combine data on two clusterlensing fields, A1689 and A370, and three blank fields, CDF-N, CDF-S, andCOSMOS, to measure the counts over a wide flux range at each wavelength. We usestatistical fits to broken power law representations to determine the numbercounts. This allows us to probe to the deepest possible level in the data. Atboth wavelengths our results agree well with the literature in the flux rangeover which they have been measured, with the exception of the 850um counts inCDF-S, where we do not observe the counts deficit found by previous single-dishobservations. At 450um, we detect significant counts down to ~1mJy, anunprecedented depth at this wavelength. By integrating the number counts abovethis flux limit, we measure 113.9^{+49.7}_{-28.4} Jydeg^{-2} of the 450umextragalactic background light (EBL). The majority of this contribution is fromsources with S_450um between 1-10mJy, and these sources are likely to be theones that are analogous to the local luminous infrared galaxies (LIRGs). At850um, we measure 37.3^{+21.1}_{-12.9} Jydeg^{-2} of the EBL. Because of thelarge systematic uncertainties on the COBE measurements, the percentage of theEBL we resolve could range from 48%-153% (44%-178%) at 450 (850)um. Based onhigh-resolution SMA observations of around half of the 4sigma 850um sample inCDF-N, we find that 12.5^{+12.1}_{-6.8}% of the sources are blends of multiplefainter sources. This is a low multiple fraction, and we find no significantdifference between our original SCUBA-2 850um counts and the multiplicitycorrected counts.

Resolving the Cosmic Far-Infrared Background at 450 and 850 Microns with SCUBA-2