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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 15
# Folio 5r, page id 00068264:0009
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inveni olim
2
major quama
rem, et proinde si y sit primitivus (esse 2- 1 exacte divisibilem per y
Ponamus yZ esse numerum proxime minorem ipso 2, ita A 27. ita ut posito
unitate majore futurus sit major. necesse est ut 97 vel aequetur ipsi 27 - 1
vel sit itidem proxime minor. itaque si yz detrahatur a 27 - residuus
vel nihil restabit, si aequales sint, vel erit residuus minor quam y. eantur
dyadics
foret saltem tot habere possienias notas ipsius 7Z, quot sunt notae in ipsoy
Has enim detrahendo ab ultimis notis qua iphus 27 - 1, quae sunt
etc. 11 111. fiet numerus minor quam y. Tan videndum ergo an
arte aliqua saltem ultima notae  ipsius yz vel ipsius _Z quantum
1∞∞NVI
eu
s
autem ultimae notae ipsius 23-, saltemt. 
satis, indagari possiat
2V
2 - 1 = C0 = yZ et c est minor quam y. Ergo fit
11
2- = 4 + co
si posset inveniri co, sufficeret, nam erit co =0, si y e
primitivus; sin minus y et cohabebunt divisorem communer
e=1= D
2+ 1= 3
L
21 = 3
2+1 =5
3+ M+
divisorem
e
2+1 = 9
241 = 9, 2+1 =.
y-
27=2= 2. = 1 et y habent commune
2 = 1 = 0 et 1 habent communem diusorem
 1 et 2
 habent communem divisorem, ergo si y sit  impar
et iam 
rPVKLIFIIOO
e-1
=1 et y habent communem divisorem
2
= 1 = 2 - l = 3 et 3
n1
e-12
dut
2 i
eut -2
3+1= 13 et 43
2
=1 = 63 et 7
64
2d -1 =, 255 et 9 habent coen divisore 2e +2 es
 se Ib4 1) = 1+ C + e. _tr.  + P. CHL et2 = P. P - 1. 8- 1. C-3
1.209
3.13 = 2 + 2.3. 4 2.).4 qeu
et
I2 3. 5
2=1, ie = l + R1+ C- 1. P. 2 +..
1.2
1. 23
28: e = integ. et si e impar fit 2  = 1,: C inteus 2 -1 : 3. 42 =l)
2
2.9.4
1001
11XI AY