To　search　for　proper　alternatives　to　improve　the　magnetic　properties　of　Nd2Fe14B,　using　first-principles　density　functional　theory　calculations　we　have　systematically　studied　the　R2M14B　(R　=　lanthanides　from　La　to　Lu;　M　=　Mn,　Fe,　Co,　and　Ni)　compounds　with　the　isomorphic　structure　of　Nd2Fe14B.　The　results　show　that　for　rare-earth　elements,　Pr　is　the　most　suitable　choice　for　considering　as　an　alternative　of　Nd.　As　for　the　substitution　of　Fe　in　Nd2Fe14B　by　other　transition-metal　elements,　Co　is　much　more　suitable　than　Mn　and　Ni　because　the　latter　two　result　in　too　significant　reduction　of　the　magnetic　moment.