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# Title: LBr. 705 · Overbeck
# Folio 48v, page id DE-611-HS-861255:0096
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 49r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=96
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000096.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Si potentiae numaeri cujuscunque continue dividantur per numerum aliquem
constantem C erit periodus pesiduorum. quia cum residui sunt divisore
minores, ved tandeo sunt numero finiti, atque adeo redire aliquis
priorum debet. Quo semel redeunte, redeunt priores. Hoc patet
manifeste si numerus D consiveretur ut rhozalis, adeoque ejus potem
tia quaevis exprimatur per 1000000, etc
Ostensum etiam est alibi periodum semper rursus incisdere ab
finc sequitur posito numerum n- 1 esse verbi gratia g, quem-
a residuo 1.
vis numdrum datum C, posse exacte diidere ipsum 99ggu et c. satis
eValiquem posse dividi per  datum C, et C
cen jorem ipso, V-1, imo esse minorem si  non sit prumptivus
seu  n
 seu C et n - 1 sint primi interse
sequitur etiam si C et 9 la 
1) etc secundum Thizadicationem ipsius n, seu quod
idem est sficientem summam continuam potentiarum ipsius _
aliquam,
posse HI
posse dividi per numeri dati ni cujuscunque posse exacte dividi
per numerum datum e, modo n et c sint primi inter se
taec ero aequatio, n - 1 = qua ic tr solvi potest in integus quicuno
sint integri n et
 sit primitivus erit e=
 minor quam p- 1
et e semper erit minorquam B quod si
0-1 - C
D non sit primitivus erit
tanc