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We present a list of 13 candidate gravitationally lensed submillimetergalaxies (SMGs) from 95 square degrees of the Herschel Multi-tieredExtragalactic Survey, a surface density of 0.14\pm0.04deg^{-2}. The selectedsources have 500um flux densities (S_500) greater than 100mJy. Gravitationallensing is confirmed by follow-up observations in 9 of the 13 systems (70%),and the lensing status of the four remaining sources is undetermined. We alsopresent a supplementary sample of 29 (0.31\pm0.06deg^{-2}) gravitationallylensed SMG candidates with S_500=80--100mJy, which are expected to contain ahigher fraction of interlopers than the primary candidates. The number countsof the candidate lensed galaxies are consistent with a simple statistical modelof the lensing rate, which uses a foreground matter distribution, the intrinsicSMG number counts, and an assumed SMG redshift distribution. The model predictsthat 32--74% of our S_500>100mJy candidates are strongly gravitationally lensed(mu>2), with the brightest sources being the most robust; this is consistentwith the observational data. Our statistical model also predicts that, onaverage, lensed galaxies with S_500=100mJy are magnified by factors of ~9, withapparently brighter galaxies having progressively higher average magnification,due to the shape of the intrinsic number counts. 65% of the sources areexpected to have intrinsic 500micron flux densities less than 30mJy. Thus,samples of strongly gravitationally lensed SMGs, such as those presented here,probe below the nominal Herschel detection limit at 500 micron. They are goodtargets for the detailed study of the physical conditions in distant dusty,star-forming galaxies, due to the lensing magnification, which can lead tospatial resolutions of ~0.01" in the source plane.

HerMES: Candidate Gravitationally Lensed Galaxies and Lensing Statistics at Submillimeter Wavelengths