Nearby stars from the LSPM-North Proper-Motion catalog.: I.: Main-sequence dwarfs and giants within 33 parsecs of the Sun

A list of 4131 dwarfs, subgiants, and giants located or suspected to be located within 33 pc of the Sun is presented. All the stars are drawn from the new Lepine Shara Proper Motion (LSPM)-North catalog of 61,976 stars with annual proper motions larger than 0.'' 15 yr(-1). Trigonometric parallax measurements are found in the literature for 1676 of the stars in the sample; photometric and spectroscopic distance moduli are found for another 783 objects. The remaining 1672 objects are reported here as nearby star candidates for the first time. Photometric distance moduli are calculated for the new stars based on the (M-V, V - J) relationship, calibrated with the subsample of stars that have trigonometric parallaxes. The list of new candidates includes 539 stars that are suspected to be within 25 pc of the Sun, including 63 stars estimated to be within only 15 pc. The current completeness of the census of nearby stars in the northern sky is discussed in light of the new candidates presented here. It is estimated that approximate to 32% (approximate to 18%) of nuclear-burning stars within 33 pc (25 pc) of the Sun remain to be located. The missing systems are expected to have proper motions below the 0.'' 15 yr(-1) limit of the LSPM-North catalog.