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# Piece: https://leibnizlegible.com/api/records/9950/text
# Catalogue record: 9950 — Numerorum Genesis
# Incipit: Qvaerantur omnes modi possibiles positivi
# Date: 1693
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=9950&katnr=39179
# Work: https://leibnizlegible.com/work/00068255
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folios: Bl. 53 (from the shelfmark LH 35, 3 B 5 Bl. 53): 2 pages, canvases 105–106, page ids 00068255:0105 to 00068255:0106
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=105
# Lines: 117 recognised on 2 of 2 pages, mean confidence 0.83
# 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.
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# 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 53r — 00068255:0105
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000105.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
Numerorum Genesis
Vaerantur omnes modi possibiles positior
quibus numerus caliquis ex omnibus numeris
primis radice sua quadratica 
non majoribus componi potest Modus
sid investius audi hic est. dividatur
per numerum ildum primum primu
manimum minimum maximum, quotiente
sumcto nane maximo possibili nunc
minori continue et quotiescunque fit divisio
toties quotiens tractetur similiter per
squentes. ita samen udt omnes illi
numeri, primi compositionem ejus ingrediam
sed jam video nimis nagnam inde
tur
loriri varietatem
qu’aerendi tantum illi modi ex quibus
est (1442
dsemon trari potest numerum esse primum
quod fit cum quaelibet litera est
primitioum rephaesentans est in quolibet
termino excepto cuni. e
Methodi
optima resoluendi numerum datum haecest
sit numerus primus datus, is sumantur omnes
numer
magrum
primitivi ejus radice minores, et factum
ex his continne proxoime inferius ab eo
subtraratur
a residuo C subtrahatur aliud
factum proxime minus ipso

## Folio 53v — 00068255:0106
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000106.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine
69
3003
21 0
Z 0 05
5 1051
2 41000
+ 512
a
48
ex
s = 256
12
64
+ 252
12
8
128 + 104
256 = 64
512 + 40
0++
e
e
20 pesan
 at 1
e
dimparibus, B8
in a
Reducamus omnes numeros
1∞13 adduadicos
5el quod facile
tabendo ppss proresss
nis dyndicae numeros
et a datis subs
2
mahendo continis 23
v. y. 1000 dete 300
reducind
dgadicu
5 1 0c
100917 11III2 1000
bi
a
11
5b ut 2a
15
14 12
m n
ar br er et si
aq bg cg eq
bp cp ep sp
cn en sn gn
2 1
2+ 13 12
Numeris dyadice expressis
In omni numero ex duobus facto primus a fine
seu 21 est 1.
cut
si secundus seu 22 est 1 erit fV91D
secundus est 0. erit fc0g4b. f dg
si tertius est o 23 est 1.
Mirabilis calculus in mentem venit:
fr + 99 7 22.
eudem modo:
Adhmiranda
ex +f9 + gp
vel
er +f9 + 9p +22
er+ eg + fp + gn
ve
ex + eq+ fp +gn + 23
24.
ine fiautaequationes imbignae; nempe
23
Cr +5q +g - 23  ducatur i ex +fq+ gp + 22.3
notat
1
puaeductum ponatur pi0. ubi quod iitabis polentiaes
lite rarum iidem sunt quod ipse iiterae, q
Hoc modo omnes habetimus aequationes delemeia
rem imulalammultrlical retu faciamasqu
mnpr per quatum ope inveniernus valorem
estdepsam A.b. c. MM. tom.n. quaum possibile
n
12
e