We have performed a survey of the Kuiper belt covering \sim 1 / 3 a square degree of the sky using Suprime-cam on the Subaru telescope , to a limiting magnitude of m _ { 50 } ( R ) \sim 26.8 and have found 36 new KBOs . We have confirmed that the luminosity function of the Kuiper belt must break as previously observed ( Bernstein et al . 2004 ; Fuentes & Holman 2008 ) . From the luminosity function , we have inferred the underlying size distribution and find that it is consistent with a large object power-law slope q _ { 1 } \sim 4.8 that breaks to a slope q _ { 2 } \sim 1.9 at object diameter D _ { b } \sim 60 km assuming 6 % albedos . We have found no conclusive evidence that the size distribution of KBOs with inclinations i < 5 is different than that of those with i > 5 . We discuss implications of this measurement for early accretion in the outer solar system and Neptune migration scenarios .