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BLAST (Balloon-borne Large-Aperture Submillimeter Telescope) performed thefirst deep and wide extragalactic survey at 250, 350 and 500 um. Theextragalactic number counts at these wavelengths are important constraints formodeling the infrared galaxies evolution. [...] We use three methods toidentify the submillimeter sources. 1) Blind extraction. [...] The photometryis computed with a new simple and quick PSF fitting routine (FASTPHOT). [...]2) Extraction with prior. [...] 3) A stacking analysis. [...] With the blindextraction, we reach 97, 83 and 76 mJy at resp. 250, 350 and 500 um with a 95%completeness. With the prior extraction, we reach 76 mJy (resp. 63 and 49 mJy)at 250 um (resp. 350 and 500 um). With the stacking analysis, we reach 6.2 mJy(resp. 5.2 and 3.5 mJy) at 250 um (resp. 350 and 500 um). The differentialsubmillimeter number counts are derived, and start showing a turnover at fluxdensities decreasing with increasing wavelength. There is a very good agreementwith the P(D) analysis of Patanchon et al. (2009). At bright fluxes (>100 mJy),the Lagache et al. (2004) and Le Borgne et al. (2009) models slightlyoverestimate the observed counts, but there is a very good agreement near thepeak of differential number counts. [...] Counts are available at:http://www.ias.u-psud.fr/irgalaxies/downloads.php

Submillimeter Number Counts at 250, 350 and 500 microns in BLAST data