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# Title: Disputatione Mathematica Numerum Perfectum Perfectissimi Favente Gratia Nec non Benevole Inclyta Facultate Philosophica Indulgente A.C. MDCLXXVIII. ad d. XXI. Sept. P.P. M. Johann Wilhelmus Pauli, Lipsiens. Philiater, Responsuro Johann-Luca Rhiem/ Coburgo-Franco, Medicinae Studioso (shelfmarks Leibn. Marg. 88, Stück 2; Leibn. Marg. 88)
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eujuS SI exAMinANEE ParCeS, Peater unitacem, tanquam commu.
nem mensuram, dirilores erune 2. &7. diriso enim 14. per Bina-
rium prodic sepcenarius, in grem binarius ductus iptum 14. resti-
evie docence Fuclide Axiom. 9. L. VII. Si numerus numorum meriens,
mulciplicet cum, per quem meritur, vel ab eo mulsiplicetur, illum quem
meritur producet. Ex qVo conone patet, 2. esse partens rq. uti pari
qroqi ratione, 7. eundem diridere numerum, AXiOm. 8. RuCI. VII.
5. 9. allesacum manifestac. ACq: SIC omnes 14. partes (UNCL. 2. 7.
gribus plures haud dantur; addicxe vero hae ipla sibi inricem,
danc 10. numerum numero proposico penicus inagralem, quond
gratuor scilicet unitates ipso minorem.
5. X1.
Seqritur itagi hunc numorum i4. esse impersectum, a qui
dem, cum duas imperfectus aenoseat species, Abundancem nem-
De acqi Deliciencem. ad hunc ipsum reterendum. Detinic siqui
demRamus ibid. diminurum, quod sic, cujns divisores sunt minores
roto: C diverso Redundans ip(i est, cujus diritores (unc majoresto.
10. Sic 18. eA numerus superAuus, cum partes ejuS 1. 2. 9. 3. 6.
omnes in unum Faciane, 2r. qui numerus cribus dacum unicaci.
Bus superac. Suncgi plerigi ejusmodi redundances numeri ex se-
narii mulciplicacione orti; sicuci e concraris deficiences func o-
mnes numeri paricer pares, qui a binario in procrestione dup12
Bignuncur: aliis camen verusqi imperfecti speciei numeris haud
exclu(IS.
5. XII.
Medium ereo abundantem inter e desicientem obcinet Jocum
vertectus, cujus jam rireors ipsa veniret exploranda, nisi priis Pri
enus Numerus, vepoco in quo momencum hic situm est maxi
mum, essec excuciendus. Apud Euclidem 11. def. VII. Primus nu-
moru est. quem unicas sola morieur; quem vero numerm quispiam
merieur, composisus est. 13. def. III. Orapropeer solus Impar POst
binarium, licee non omnis, erie Primus, grales TunC 2. 3, 5. 7. bi-
nario semper a se invicem distances, eoque vel semet, ut hace-
nus; vel Expius etiam (uPCB, C. 8. 17. 19. 23, 29. _C. Onicum (alem
mulcum necorii facessens est. quod, numerus ubi impar mulcis
constans characteribus prOPOnaTUT, PrimuS in siC, MatIM C08t. O.
(cere