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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 55v, page id 00068207:0110
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ique  iso pli. L. residuus dsit x    duviso per b, residnuasit F, et r- EF set divistulis per B
 + c267
Quaeritur in integiis solutio hujus problematio or . bC
1e
Oportet vV-cIp dividi posse per l:
Ergo residuns sit vo b4) +(x
Et g 64 + x. Ergo Datur alius numeus minor quam b, qui sit f,
et alius namerus minor quam b, qui sit g, ita ut f divisus per B; relinquat Y
et g divisus per b, riliaquat B +. eritque +n CF = b5. Et 
et 1= Kb + F, E Et fo- b
et = hb + Y
a = hb + Y =CKb - et seu eut
 ff - cg = hb = CKb - ) b. Ergo f Ergo dantur numen quidam 
1NC
 et 4, mirores quam b, ita ut f -cg sit divisibilis per b.
4
quid cum sit vv- bg.
dabuntur duo numeri m et R, minores quam C, ita ut sit
nm- Dn divisibilis per C. Quod si alterutiam
nor quod si tales numeri F, g. M, n, minoresuvam
laveniri non possunt problema in integras solvi non pote
4
4.
6
7 8 9 10
9 16 25 36 49 64 81
e
26.
16 81 25b 625 16
4006 656 10000
85 208 432 80 1365 2187 3333
36 65 191. 11 197 257 37
19 29 34
43 53
4 _ 10
13 0
- 3
60 67
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27
28 21)
30 31 32 33 34 35 36 37 38 39
H1 = 10+20
12= 11421
40 a1 42 43 44 43 4b 47 48 4
50 a S152 a 53. 34 55. - a
2= 20130 31 = 30+40 41 = 40 +50
1. b1220. 430
100
22 58 123 24309(565 8221146
27
 t + 2. HH3I
13 = 1. H+ 2. 2+ 1.31
1. 20+2. 30+ 1.
. 20+1.40
C (. 10r 1.20
I. 1d13. 1. 3.30F 1.40
59
= 1. 10+3. 2013.30+1.40
14 - 1. 10+ 42076. 3044. 5
15 = 1. 11+4. 21 +6. 31 +4. 91 + 1. 51
= 1. 1045, 20+ 10.30+ 10.40+5.50.
seu 1. 11 + 4. 21 +6. 31 + 4. 41 + 1. 5)
= 1. 10 + 1.20
4. 20Y4. 30
5. 30+ 6. 40
440+450
16= 1. 11. + 9. 2 + 10. 31 + n 45. 1+1. B 1. 3
16 = 1. 10+. 1. 20
5. 1045.30
10.30+1040
1920 + 1060
11
 16
0+1. 
e 
1296 800
 c
10B 625. 654
422
F
11= 110+101110
pf 1.40
12 = 1. 10 + 2. 20+ 1. 30
(3 = 1. 1043, 20 +3.
14 = 1. 10+9. 20+ 6. 30 +4+0 + 1. 50
1G = p. 10 +5. 20 + 10. 30 + 10, 70 +550Fat 1a
18 = 1. 10 46. 20+ 15. 30+20.40 11550+6a + 1b
10+ 7. 20 +71. 30+3540 475. 50 +210+ 76+dC
B= 1. 1e+ B 20 +28. 30+56. 4047050150 a + 20+81
tia