# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/827662491:0013
# Permalink to this reading: https://leibnizlegible.com/page/827662491:0013?run=74
# 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)
# Folio - , page id 827662491:0013
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827662491&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/827662491/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

S. XVII.
ACg. tactenus licet Pertecti non minus, ac iptarum ejusdem
partium inrencionem perlustrarerimus, jurabic enmen pOrro a
Ham qrogi riam Perfectos inveniendi, ex eodem Euelidis Conce
promanancem, explorare. Communicat eam nobis Michact
(OtraUCh WV icceberea h. 1. P P. Mathem. Infer. FXCellenissimus, Prace-
pior mems perperim devenerandus, suam de Numero perfecto Medi-
cationem publice ibid. A. 51. reneilacam, hôc concludens axio-
mate: Pariter paribus a quaternario in continuo ordine combina-
iis, s unitale a majore incer duos combinatos subtracta, residuoqe
(Primus (i fueric) per minorem numerum mulsiplicaio factus nu-
moru eris perfectus. Cujus cercicudinem dicta parcim, parcim di-
cenda adhue una cum exemplis subministrabune, Facileqi consta-
bic, quam obserracu diena illa de Primo Numero Limitatio (iC, axi-
omati ipsi omnine inserenda. 4 Sc.
4.
16.
ec
e
64. ee
256.
e
1024. et
4096. 8
16384. ec
65536. e
262144. 8
1048776. e
4. 194304. e
1C777216. &
67108864. ee
268435456. e
8. danCPersectum NumeruM 28.
.
8.
512. 2.
20+8. b.
8102.
32768. C.
31072.
524288.
2097152. d.
8388608. c.
33554432. F.
134217728. 6.
536870012. 144 175087807420126.
2073741824. ee 2147483648. 230, 843008139952128.
4294967296,1 d 85899315921 H.
Ora ratione Numerorum Pertectorum. Penario cnmen ceu prims
Praetupposico, ordo (qui d nemine non ulcerius concinuari pro lu-
Bic Pocerie) perspicicur simulq; hunc indasandi Perfectos mo-
dum priore Ruclideo breviorem ene, apparet. Ipsa siquidem.
in numeris addendis prolixicas hac ria evieatur, nihiloqre minus