# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/29519/text
# Catalogue record: 29519 — Mathemat. Aufzeichnungen
# Incipit: Sit numerus n, erit n_2e = sum. imparium inde ab unitate continue sum
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=29519&katnr=56090
# Work: https://leibnizlegible.com/work/DE-611-HS-861255
# Title: LBr. 705 · Overbeck
# Folios: Bl. 133r (from the shelfmark LBr 705 Bl. 133r°): 1 page, canvas 265, page ids DE-611-HS-861255:0265 to DE-611-HS-861255:0265
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=265
# Lines: 101 recognised on 1 of 1 pages, mean confidence 0.76
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 133r — DE-611-HS-861255:0265
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000265.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine
continue
sit numerus M, erit ne sum. imparium inde ab unitate suntorum
quorum multitudo est ne
64
68
84
6
109b
. . . . . . 3 = 143+5+7 +9+ 11+ 13+15 = 162.
6= omn. emp. numero P=
6
L
a
=
3 = . - - - - . . 3 =
- - ... L
Ultimus impar est 2nE - 1
impres quaeritur
-
exponentis e
summa potentiarum parium numero 4,
2 +5, ad 15 vicibus q- 1, seu 18, 18. =, vicibus J. Y.
(3.+15)
8
4840
-
(451153
seu (2. P. 1) +2 + 2. 3- 1 = 21+22
-3 + 4 vicibus 9- 2
64- 1= 63 per quise per 13l
2, vicibus 9-1
6
26+ 8
+, vicibus q- 3
61=  (4-665, per 9. 1 se 3 dat 1945 189
E 4096 72g - 9367, per G. 2 seu 2 dat
36-7 = 729-64 = 665; per 9-2 seu per 2 da l 130
6-3 = 4096-729 = 3367, per 9- 3 seu per 1 dat 3367
1+ 3+547 +9 + 1+ 13115 =2
1 =  1
6 =
56 =
erit
-2
1- - - - - . . . . - -  17 ad 53 =
. . . . . - - - . . . . . . (+55 usque ad 127 = 4-
Erit 16+ 2+ 3 ete usque ad 9 = (1- 5, 9) + (2 1, 9 . 1) + (35. 6, 9. 2) + (46. 5, 9. 3) + ex
16=
4
l
17 = 2. 2-1 +2 53 = 2.3-1 Ergo 17453 = 2 (2+3) -70, 3 -2,  213, 3-221
129
resumendo quia
6 -
2(1+23) 3- P = p12 Zi
17, 5, 1g etc, ad 53, vicibus 9- 2, seu (17+53 2) 70, Z, 9- 2 = 35.19, 9.2
1 vicibus 9 est 4
16= 729 -64
d
t
inquad q= (vicibus q) (2 - 1, vibus q. 1) 1 (3. 2, 9. 2) ,(2. 5, 9. 3)
Ergo  1+ E+ 3+ 4 +et, viciles 4,
erit 1 vicibus q
4 sit 4
734
+17r9 Lutus cste Egt ZIthtSChG, 
addendorum vigs P +2 + 3 + 4, et.
409 b Reperitur 1, vicibus 4
e
4e-
654
- 16, 3
36-
6
2 =
4-30,
4d
sd hoc non nisi exemplum est trectematis geveralis
quod difficrentiae multiplicatae partes axis
 inferiores reddunt figulam
1d
42
+89
o
64
4096
e
367
in unum
3b 3
993
67
27 729
lig
21G
e
265
1-0, quater
66, ter
5-E, bis
4- F pmet