# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068014:0001 # Permalink to this reading: https://leibnizlegible.com/page/00068014:0001?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 17 # Folio 1r, page id 00068014:0001 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068014&page=1 # Source image: https://digitale-sammlungen.gwlb.de/content/00068014/jpgs/default/00000001.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 80 lines, status machine # Lines: 80 recognised, mean confidence 0.85 # 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. Numeri primi eorum genesis mira abc + d 5 N. est numerus primus integer modo in a. b. c. d. numeri primi dat N. radice quadra minores. 1+ , 1+. 92, +, 12+ 12, +5 1 +1+ 323, , = 1 123, + n 133, A 12, + 1, 2 + 1 1 6+2 + 2 + 1 12,3, + 5) vu det + 1,2,3, + 1 16+6+ 1 1,23, +7 (12 + 1, 23, + 1,2, +1, 2, + 1(,6+6 +2+2 + 1) 12,3, +11) 6+ 6 +6+ + 1 1,23, 135 6+6+6 + 2 + 2 + 1 ( 1,2131 17C 257. (5 = 16+6 +6+6 + 1 6+6,66 + 2 + 2 + 30 + 1 30 +6+ 1 30 +6+ 2+ 2 + 1 30 +6+6+ 1 30 +6+61Z +2 +1 30 +6 +6+6 + 1 30 +6+6+6 +8+2 +2- Hi omne componuntur ex numelis interi primis in 30+ 6+6+6 +6 +2 +2 +1 Septem A,2 d, 213, a B 133) (2,19) caacetiou (43.) (11, 13) a 17 +iga 169 +143 1t2 +149 170 semper quilibet gradus ita praecise finori satet, ubi nuus primus superet qui amplius addi possit 1, 273 69 19 1. 23, en 1F. 12, 5, +3, 1315 +2 213,51, +1 3 1 oncta aatica quae numeros primos referunt, omnesque continent primos sati numeri quadralica ax Datus numerus an primu sit non melius sciri potest, quam si ita resolvatur radice minores ut omnes numeri primi minores radice compositionem ejus ingrediantur 151. etus radixe minores numeri primi usque ad 11. inclusive. 12,3, 5C 130. et 7, 11 p77 Ergo 151+ 1,2, 3, 5,, + 2,11, + 1,2,3, +2 qui numerus dividi non pt per per 2. 2,11, +25 79 quiest prim 103 1 nec per ultum altum ob 3 quo 7, 11,, +2. non est divisile t +TN30+14 a nec ob similes rationes per 5, quia b +c Ad non est divisile per 5, nec por 7 Z 2,6+ a + c +d non est divisile per 7. sed optimum foret unum quemque numerum desolvere in primos radice minores, ut unus quisque iumerctum exter in primorum extet in omnibus terminis praeter quam in uno, ut ab C + abd + Vdd est necessario pitam si ab. a. b. c. sint omnes termini primi ejus radic minores, id est numorus ipse diber esse inter q er4 nempe ap eg. 5 h1. 43. ∞ potest et quiliber tertuinus per quemlibet alium numerm mulliplocar 12A 5,, + 1, 2st, non potest componi affirmatiae ex 1,2 iudice quadralica dati non 79 id est 30 + 49 est num erus primus 10725 10l 30+771107 H9) (712) 10 2129.. 100 45... . .. 11 et tamen hic omisolis. Ergo Tabula sic nec omnes ex hiberet 100+2, 2, 5,5 90000013, 2,5 103 193