104 L. EULERl OPERA POSTHUMA. Arithmetica. 



elicieturque r = \mn et s = mm-+'nn, unde numeris m et n arbitrio nostro relictis, consequimur 

 sequentes numerorum a, b, c valores r^^/^T;^ 



•m^ ^*' '*-^^ _ 2jj^^ "^3^,^ __ „,j) (3^^„ __ ^^^ , ;Kt£-) wti8 



6 = Smn (mm — nn) {mm -+- nn) , 



c = (mm — nn) (mm — kmn -+• nn) {mm -h kmn -i- nn). 



55. Ilinc simplicissima solutio eruitur sumendo w = 2 et /i = 1 , unde resultant hi numcri: 

 a = U aa=1936 aa-4-66 = 59536 = 2^^* 



6 = 24^0 66 = 57600 aa -f- cc = 15625= 125^ 



e04\=r c=117 cc= 13689 66 -i- cc = 71289 = 267^ 



.B)uflffls eicaifqr/b finfirti 



/^nniiutt -f-V 



