JDE NVMmS ?ERFECTIS. g^ 



§. 9. His pracmilTis haiid difficile cxit- pronnntlflre , 

 qnid (btucndum fit de Michaclis Go^tlieb Hi, (chii s. Gics. 

 ct Ciuh. Maj. Confiliarii, Tiiecna Arithmeticc; nouis n le 

 inuentis audii , quam in cpilloid quAdam nnte v,ouem nn- 

 nos, fcil. Gilend. Sept. 1^39. Vindobonae nd Mutjiema- 

 ticos data expofuit , qune non nifi Ao. 174.8. m^nfc 

 feptembri nobiscum communicatn eft. 



§. 10. Continet nutem prned.'<Sa epiftola trindem 

 '7r(50(3X'V]|xaT'ajv Trset rwv reXsiuv ajiS-jxojt' , qunm fpeci- 

 minis loco exnmini intelligentium fujmittit vir Cel. vt exa- 

 inde conftet qunle iudicium de iis ferendum fit, qune Cl. 

 Autore circa genefin , nnnlyfin , putes atqne fnmmnm nn- 

 merorum integrorum riitionnlium .entnuerit et qune noua 

 fua Arithmeticnc theoria vberiuf declnrnbit , qune vernm 

 continebit methodum detegendi .umerorum mylleria. 

 Sunt autem problemata fequejtja : 



lum Inuenire numeros prim > perfe^florum produdo- 

 res ex data eorum a numerorun: primorum in ordine pri- 

 mo dilhntia. 



^dum Inuenire numeros p rfedos in infinitum ex da- 

 ta eorum a perfedo primo ditnntin. 



gum Inuenire fcricm numc:orum pnriiim, qune conti- 

 nent terminos , qui , per termiium Icriei primum diuifi , 

 dcnt numcros perfedos omnes . excepto perfedlo primcv 

 His tribus problemntibus tn)ulas tres adiecit fequcntes : 



i""^ Numeros primos 20. perfeclorum produdorcs 

 cxhibet p. 8. 



2.'^^ Numeros perfedos ipos a mimeris primis antecc- 

 dentibus produdos filtir. Qii; is p. 10. N^merorum pcr- 

 fcdorum autecedentium notns , partes aliquoas et difFercn- 



L 3 tiam. 



