Table of good abc-examples, I Abderrahmane Nitaj September 11, 2008

The Table I contains all examples a + b = c, related to the abc-conjecture, satisfying 0 < a < b < c and (a, b) = 1, known to me with α ≥ 1.4, where

α = α(a, b, c) = \frac{log(c)}{log(r(abc))},

and r(abc) is the radical of abc (i.e. the product of the distinct prime factors of abc).

Authors :

J.B.–J.B. : J. Browkin and J. Brzezinski N.E.–J.K. : N. Elkies and J. Kanapka T.D. : T. Dokchitser M.H.–T.S. : M. Hegner and T. Schulmeiss G.F. : G. Frey P.M.–H.R. : P.L. Montgomery and H. te Riele A.N. : A. Nitaj E.R. : E. Reyssat A.R–T.S. : A. Rosenheinrich and T. Schulmeiss T.S. : T. Schulmeiss K.V. : K. Visser B.W. : B.M.M. de Weger G.X. : G. Xiao R.ABC : Reken mee met ABC F.R. : Frank Rubin I.J.C. : Ismael Jiménez Calvo J.D. et al. :

- J.D. : J. Demeyer

- B.S. : B. de Smit

- H.W.L. : Hendrik W. Lenstra,

- W.J.P. : Willem Jan Palenstijn

Table 1

no. a  b  c  α  discoverer

1) 2  3^{10}.109  23^{5}  1.62991 E.R.
2) 11^{2}  3^{2}.5^{6}.7^{3}  2^{21}.23  1.62599 B.W.
3) 19.1307  7.29^{2}.31^{8}  2^{8}.3^{22}.5^{4}  1.62349 J.B–J.B.
4) 283  5^{11}.13^{2}  2^{8}.3^{8}.17^{3}  1.58076 J.B–J.B., A.N.
5) 1  2.3^{7}  5^{4}.7  1.56789 B.W.
6) 7^{3}  3^{10}  2^{11}.29  1.54708 B.W.
7) 7^{2}.41^{2}.311^{3} 11^{16}.13^{2}.79  2.3^{3}.5^{23}.953  1.54443 A.N.
8) 5^{3}  2^{9}.3^{17}.13^{2}  11^{5}.17.31^{3}.137 1.53671 P.M.–H.R.
9) 13.19^{6}  2^{30}.5  3^{13}.11^{2}.31  1.52700 A.N.
10) 3^{18}.23.2269 17^{3}.29.31^{8}  2^{10}.5^{2}.7^{15}  1.52216 A.N.
11) 13^{10}.37^{2}  3^{7}.19^{5}.71^{4}.223  2^{26}.5^{12}.1873 1.50943 T.D.
12) 2^{7}.23^{8}  19^{9}.857^{2}  3^{22}.13.47^{2}.263 1.50332 M.H–T.S.
13) 239  5^{8}.17^{3}  2^{10}.37^{4}  1.50284 J.B–J.B., A.N.
14) 5^{2}.7937  7^{13}  2^{18}.3^{7}.13^{2}  1.49762 B.W.
15) 2^{2}.11  3^{2}.13^{10}.17.151.4423 5^{9}.139^{6}  1.49243 A.N.
16) 73  2^{13}.7^{7}.941^{2}  3^{16}.103^{3}.127 1.49159 A.N.
17) 2^{24}  11^{7}.19.29^{2}  3^{11}.5^{3}.7^{3}.41  1.48925 A.N.
18) 11^{2}  3^{9}.13  2^{11}.5^{3}  1.48887 B.W.
19) 37  2^{15}  3^{8}.5  1.48291 B.W.
20) 5^{14}.19  2^{5}.3.7^{13}  11^{7}.37^{2}.353  1.48132 A.N.
21) 1  3^{16}.7  2^{3}.11.23.53^{3}  1.47445 A.N.
22) 7^{2}  2^{10}.11.53^{2}  3^{4}.5^{8}  1.47414 J.B–J.B., A.N.
23) 3^{4}.199  11^{8}  2^{3}.5^{7}.7^{3}  1.47130 J.B–J.B., A.N.
24) 17^{4}.67  2^{19}.137^{4}  3^{15}.5^{3}.13.89^{2} 1.46568 P.M.–H.R.
25) 7^{12}  2^{14}.67^{3}.461  3^{13}.11.19^{4}  1.46552 A.N.

Table 1 (continued)

no. a  b  c  α  discoverer

26) 5^{2}.23^{10}.106531 7^{11}.11^{3}.193^{4}4  2^{4}.3^{19}.17^{8}.29  1.46460 F.R.
27) 2^{7}.5^{2}  7^{6}.41  13^{6}  1.46192 B.W.
28) 5^{11}.31.191  2^{8}.7^{13}.89.859^{2}  3^{30}.13^{4}.277  1.45943 K.V.
29) 5^{12}.17^{2}.31^{2}.1699 23^{14}.29  2^{19}.3^{2}.11.13^{10}.47 1.45779 A.N.
30) 3^{6}.5^{12}  2^{16}.13.59^{4}  7^{11}.47.113  1.45779 A.N.
31) 3.109.131^{4}  5^{22}.89  2^{3}.11^{2}.19^{5}.97^{4}  1.45748 T.S.
32) 3^{2}.5^{2}  2^{4}.17^{3}.31^{4}  7^{10}.257  1.45707 A.N.
33) 2^{25}.19  3.5^{15}.1033  11^{7}.13^{3}.47^{2}  1.45620 A.N.
34) 1  2^{5}.3.5^{2}  7^{4}  1.45567 B.W.
35) 3^{2}.11^{6}  2^{35}  19^{5}.13883  1.45513 J.B–J.B.
36) 23^{2}.31^{5}  2^{25}.7.109^{3}  3^{19}.5^{2}.19^{2}.29  1.45502 T.S.
37) 7^{8}.2707  2^{10}.5^{10}.29^{3}  3^{18}.11^{4}.43  1.454435 A.R.–T.S.
38) 13^{6}  2.3^{4}.7^{4}.11^{9}.23  5^{7}.103^{4}.2399  1.45334 A.N.
39) 7^{5}.23^{2}.101^{4}  2^{43}.359^{2}  3^{9}.13.19^{6}.307^{2}  1.45320 T.S.
40) 2^{19}.13.103  7^{11}  3^{11}.5^{3}.11^{2}  1.45261 B.W.
41) 31^{3}.61^{5}  17^{10}.83^{2}.2719.15101  2.3^{3}5^{17}.7^{12}  1.45192 F.R.
42) 23^{8}.37^{4}  2^{28}.3^{7}.11^{4}.19^{3}.61.127.173^{2} 5^{18}.17^{4}.43^{2}.4817^{2} 1.45022 I.J.C
43) 3^{5}.7  5^{6}.67  2^{20}  1.45134 J.B–J.B., A.N.
44) 3^{5}.7^{3}  2^{13}.23^{3}.59  5^{3}.19^{6}  1.45086 J.B–J.B.
45) 1  3^{3}.5^{3}.7^{7}.23  2^{13}.11^{4}.13.41  1.45003 A.N.
46) 1  3.5^{5}.47^{2}  2^{18}.79  1.44965 G.F.
47) 11^{2}.43  5^{9}.7^{2}.13^{4}.97  2^{3}.3.73^{7}  1.44798 A.N.
48) 89  7.11^{8}  2^{20}.3^{3}.53  1.44774 A.N.
49) 3^{17}  2^{21}.5^{6}.23.7993  47^{2}.307^{5}  1.44759 T.S.
50) 2^{24}.5^{5}.47^{5}.181^{2} 13^{14}.19.103.571^{2}.4261  7^{28}.17.37^{2}  1.44742 F.R.

no. a  b  c  α  discoverer

51) 409^{4}  2^{21}.11^{5}.17.19.397 3^{5}.7^{5}.13^{9}  1.44687 T.S.
52) 3^{2}.5^{7}.79  2^{29}.13  11^{7}.19^{2}  1.44625 A.N.
53) 2.13^{2}  5^{8}  3.19^{4}  1.44506 J.B–J.B., A.N.
54) 3^{11}.5^{8}.4229 17^{5}.23^{5}.31^{3}  2^{32}.7^{2}.109^{3}  1.44460 A.R.–T.S.
55) 2^{19}.263  83.167^{5}  5^{4}.29^{7}  1.44420 P.M.–H.R.
56) 5^{17}.13577  2^{2}.11^{4}.17  3^{4}.23^{9}.71  1.44350 A.N.
57) 1  2^{12}.5^{3}  3^{5}.7^{2}.43  1.44331 B.W.
58) 3^{2}.19^{3}  5^{11}  2^{17}.373  1.44328 J.B–J.B., A.N.
59) 19^{8}.43^{4}.149^{2} 2^{15}.5^{23}.101  3^{13}.13.29^{2}.37^{6}.911 1.44280 T.D.
60) 2^{5}.11^{2}.19^{9}  5^{15}.37^{2}.47  3^{7}.7^{11}.743  1.44201 A.N.
61) 3^{16}.23^{2}  2^{13}.29^{2}.37^{3}  5^{9}.11^{4}.13  1.44181 A.N.
62) 2^{13}.7^{4}.653^{2} 3^{18}.5^{5}.181.673^{2}2 11.13^{13}.31^{3}  1.44178 R.ABC
63) 7^{3}.29^{5}.151^{2} 2^{4}.5^{16}.97.919  3^{27}.13^{4}  1.44152 A.N.
64) 31^{3}  2.17.41^{5}  3.5^{7}.7^{5}  1.44144 A.N.
65) 3^{4}.23^{2}  31^{5}  2^{15}.5^{3}.7  1.44097 J.B–J.B., A.N.
66) 2^{35}.7^{2}.17^{2}.19 3^{27}.107^{2}  5^{15}.37^{2}.2311  1.44026 A.N.
67) 1  2^{4}.3^{7}.547  5^{8}.7^{2}  1.43906 B.W.
68) 1  19.509^{3}  2^{19}.3^{4}.59  1.43836 J.B–J.B.
69) 3.5^{6}.7^{8}.53  167^{9}  2.11^{6}.193^{4}.20551 1.43824 T.D.
70) 2^{26}.11^{4}.7639 5^{6}.23^{11}  3^{18}.47^{4}.7879  1.43814 T.D.
71) 7^{8}.13.89^{3}  3^{13}.5^{3}.11^{4}.1499 2.19^{12}  1.43786 T.D.
72) 17^{4}.19^{6}  41^{10}.1559  2^{12}.3^{15}.5.29.1567^{2} 1.43654 T.D.
73) 2.13^{5}  7^{6}.173^{2}  3^{13}.47^{2}  1.43618 A.N.
74) 3^{4}.7^{2}.41  2^{25}.227^{7}  5^{9}.11^{8}.2489197589 1.43575 T.D.
75) 2^{10}.7  5^{7}  3^{8}.13  1.43501 B.W.

no. a  b  c  α  discoverer

76) 3^{17}.809  2^{27}.11^{9}  5.7^{4}.13^{5}.59.1097^{2}  1.43486 T.D.
77) 2^{7}.89^{2}  5^{4}.7^{6}.11^{2}.71^{4}  3^{13}.19^{3}.4547^{2}  1.43415 J.D. et al.
78) 11^{9}.43  2^{4}.23^{6}.47.277^{2}  5^{14}.7^{2}.13^{4}  1.43396 A.N.
79) 11.103^{8}  2^{45}.3^{7}.29.37.1997 5^{11}.7^{10}.79.389^{2}  1.43360 T.D.
80) 2^{5}.3^{18}  5^{6}.7^{10}.23^{2}  11^{9}.691.1433  1.43346 A.N.
81) 5^{3}.8111  19^{12}.29  2^{19}.3^{3}.17^{4}.233^{2}  1.43345 A.N.
82) 7^{11}.19  5^{12}.1019.7151^{2}  2^{28}.3^{12}.11^{3}.83  1.43309 T.D.
84) 31^{2}  3^{5}.5^{9}  2^{5}.23^{4}.53  1.43304 J.B–J.B., A.N.
85) 2^{21}  7^{6}.17.8209^{2}  5^{12}.743^{2}  1.43290 A.N.
86) 2^{17}.13^{3}  7^{3}.11^{7}.43^{2}.5801 3^{17}.17^{6}.23  1.43235 T.D.
87) 2^{32}.73^{3}  3^{14}.5^{3}.11.13^{5}.557 7^{13}.23^{2}.163^{2}  1.43232 J.D. et al.
88) 3^{17}.67  7^{7}.11^{3}.227^{2}.547 2^{14}.5^{7}.17^{6}  1.43214 T.S.
89) 61^{4}.149  2^{23}.13.29^{5}  3^{8}.5.7^{4}.73^{4}  1.43181 T.S.
90) 17^{4}.79^{3}.211 2^{29}.23.29^{2}  5^{19}  1.43162 A.N.
91) 2^{27}.7^{5}  3^{26}.11.19.139  5^{2}.13^{6}.43^{4}.179  1.43126 A.N.
92) 2^{11}  3^{9}.7^{3}.11^{3}.19  29.277^{4}  1.43118 K.V.
93) 2^{9}.19^{2}  59^{6}.73  3^{3}.5^{7}.7^{2}.31^{3}  1.43109 A.N.
94) 193  2.5^{6}.19^{2}.1193^{2}  3^{9}.13^{8}  1.43042 A.N.
95) 3^{6}.7^{2}.13.127^{2} 2^{38}.61.137  5^{11}.19^{6}  1.43018 J.B–J.B.
96) 7^{2}.23^{5}  3^{8}.11^{12}.4703  2.5^{2}.13^{2}.19^{3}.29^{6}.53^{2} 1.42992 T.D.
97) 2^{9}.37.95^{5}  5^{5}.7.89^{7}  3^{20}.17^{4}.3323  1.42987 A.N.
98) 3^{9}.29  7^{6}.43^{2}  2^{24}.13  1.42955 A.N.
99) 2^{20}.79.97  5^{3}.7^{6}.11^{10}  3^{4}.13^{7}.8663^{2}  1.42943 T.D.
100) 3^{21}  7^{2}.11^{6}.199  2.13^{8}.17  1.42901 A.N.

no. a  b  c  α  discoverer

101) 3^{10}.7^{6}.541.22031 5^{3}.29^{6}.1013^{4}  2^{17}.11^{16}.13  1.42891 F.R.
102) 73^{2}  2^{11}.11^{4}.13^{3}  3^{11}.5^{5}.7.17  1.42891 J.B–J.B.
103) 5^{14}.11  3^{6}.7^{5}.13^{2}.251  2^{21}.23^{4}  1.42840 A.N.
104) 29^{4}  2^{14}.3^{3}.31.47^{2}.199^{3} 7^{12}.4153^{2}  1.42836 T.D.
105) 11  7^{3}.167^{2}  2.3^{14}  1.42832 J.B–J.B., A.N.
106) 73  11^{5}.157^{2}  2^{2}.3^{10}.7^{5}  1.42757 J.B–J.B., A.N.
107) 61^{4}  2^{20}.41^{3}.83^{2}  3^{22}.5.19.167  1.42749 A.N.
108) 3^{10}  7^{8}.23  2^{9}.509^{2}  1.42712 A.N.
109) 31  2^{5}.5^{10}.19^{2}  3.7^{5}.11^{3}.41^{2}  1.42675 J.B–J.B., A.N.
110) 3  5^{3}  2^{7}  1.42657 B.W.
111) 3^{6}.47^{7}.167  7^{9}.11^{4}.23^{4}.68473 2^{5}.5.15.5.103^{5}  1.42573 F.R.
112) 5^{11}.13^{2}  2^{8}.17^{6}.23^{5}.149  3^{7}.7^{6}.11.29^{3}.293^{2} 1.42518 R.ABC
113) 2^{27}.809  5^{7}.7^{6}.13^{5}  3^{23}.36251  1.42461 T.D.
114) 2^{13}.3^{18}.2069  13^{3}.29^{7}.271^{3}  5^{14}.23^{3}.3187^{2}  1.42341 T.D.
115) 5^{2}.11  13^{3}.1483^{2}  2^{29}.3^{2}  1.42338 J.B–J.B., A.N.
116) 31^{7}.113.491^{2}  5^{13}.11.13.19^{8}  2.3^{6}.7^{18}.1249  1.42309 T.D.
117) 5^{2}.13^{4}.^{7}.411971 2^{38}.23^{7}.83  3^{18}.7^{4}.11^{3}.89^{4}  1.42261 F.R.
118) 17.19^{4}  3^{3}.5^{10}.7^{2}.29^{3}  2^{13}.13^{7}.613  1.42208 K.V.
119) 3^{4}.23^{6}.1013^{2}  2^{47}.5^{3}.19^{2}  7.131^{7}.1373  1.42202 T.D.
111) 2^{4}.59  5^{12}.19  3^{3}.11^{2}.17^{5}  1.42183 J.B–J.B., A.N.
120) 5^{7}  11^{5}.13^{2}  2^{15}.7^{2}.17  1.42158 A.N.
121) 3.5.13^{6}  2^{7}.7^{5}.53^{6}.2287  11^{3}.37^{7}.929^{2}  1.42138 T.D.
122) 67.263^{3}  3^{10}.5^{9}.23^{3}  2^{10}.7^{6}.13^{2}.41^{3}  1.42137 T.S.
123) 2^{39}  3^{8}.13^{2}.23^{5}  5^{8}.151^{2}.863  1.42105 J.D. et al.
124) 2^{9}.37^{3}.89  3^{9}.5^{9}.31  103^{6}  1.42101 A.N.
125) 233^{4}.439  2^{15}.3^{19}  5^{8}.17^{5}.71  1.42081 T.D.

no. a  b  c  α  discoverer

126) 2^{13}.71^{2}.337^{3}  7^{13}.1117^{2}  3^{21}.13^{3}.73^{2}  1.42075 T.D.
127) 7^{8}.19  2^{15}.5^{2}.37^{2}  3.17^{7}  1.42044 A.N.
128) 3^{13}  2^{21}.5^{4}.199^{2}  7^{8}.83^{2}.1307  1.42032 A.N.
129) 2^{14}.3^{10}.43.461  11^{5}.29^{4}.83.397^{2}  5^{26}  1.42023 T.S.
130) 23^{3}  3^{9}.5^{7}.31  2^{7}.7^{3}.13.17^{4}  1.42004 A.N.
131) 2^{47}.97  5^{5}.7^{8}.89.739^{2}  3^{17}.11^{6}.13^{2}.23  1.41956 R.ABC
132) 19^{4}.37^{2}  3^{4}.5^{14}.79  2^{8}.31^{5}.73^{2}  1.41929 A.N.
133) 5^{9}.17^{2}.23^{4}.37^{2}.43.4817 3^{14}.11^{8}.61^{2}.173^{4}  2^{52}.19^{6}.127^{2}  1.41918 F.R.
134) 7^{2}  2^{17}.181^{2}  3^{8}.809^{2}  1.41892 J.B–J.B., A.N.
135) 13.3499  2^{39}  3^{4}.5^{11}.139  1.41823 J.B–J.B.
136) 5^{6}.1609  2^{9}.3^{14}.13^{3}  1523^{4}  1.41763 J.B–J.B.
137) 3^{9}.43^{3}  5^{13}.5323  2^{7}.7^{3}.23^{6}  1.41679 A.N.
138) 41^{4}.33941  3^{12}.19^{7}  2^{23}.5^{9}.29  1.41644 J.B–J.B.
139) 17^{2}.47^{5}.73  2^{31}.5^{9}  3.13^{7}.4723^{2}  1.41628 T.D.
140) 3^{22}.37.204749  2^{8}.5^{2}7  13^{2}.31^{6}.103^{4}.113  1.41608 A.N.
141) 3.5^{4}.599  11.23^{8}  2^{22}.59^{3}  1.41605 J.B–J.B., A.N.
142) 2^{7}.5^{4}.7^{22}  19^{4}.37.47^{4}.53^{6}  3^{14}.11.13^{9}.191.7829 1.41583 T.D.
143) 5^{20}.4021  2^{40}.13.17^{3}.6763  3^{6}.7^{7}.11^{3}.29^{6}  1.41576 T.D.
144) 3^{22}.9787^{2}  5^{10}.11.29^{10}.109  2^{37}.89^{3}.167^{2}.1823 1.41570 T.D.
145) 2^{46}.23  3^{9}.5^{5}.11^{7}.31^{2}.43  19^{11}.59.7207  1.41563 A.N.
146) 7^{3}  5^{13}.181  2^{4}.3.11.13^{2}.19^{5}  1.41556 A.N.
147) 3.23^{4}  5^{13}.31  2.7^{4}.199^{3}  1.41527 P.M.–H.R.
148) 2^{6}.5^{2}.7^{13}.13^{2}.463  3^{4}.43^{12}  11^{12}.389^{2}.6841  1.41509 A.N.
149) 71^{8}.233^{3}  2^{5}.5^{18}.7^{3}.17^{3}.981439 3^{38}.13^{4}.5233  1.41457 T.D.
150) 3^{11}.5^{4}  7.11^{6}.43  2^{17}.17^{3}  1.41450 G.X.

no. a  b  c  α  discoverer

151) 3^{7}.5^{14}.7^{2}  2^{51}.11^{2}  29^{5}.73.419^{2}.1039 1.41435  A.N.
152) 2^{6}.5.137  3^{14}  13^{6}  1.41370  J.B–J.B., A.N.
153) 5^{2}  3^{7}.13^{3}  2^{8}.137^{2}  1.41328  J.B–J.B., A.N.
154) 3^{6}.157^{3}.283  23^{10}  2^{30}.5^{2}.11^{2}.13  1.41317  J.B–J.B., A.N.
155) 13.733  3^{9}.5^{5}.89^{5}  2^{1}9.7^{2}.31^{5}.467  1.41289  K.V.
156) 7^{2}.17^{9}.47  2^{25}.3^{12}.5^{2}.37.509.571^{2} 31^{7}.53^{6}.67^{2}  1.41272  T.S.
157) 5  3^{11}  2^{10}.173  1.41268  B.W.
158) 29^{4}.2213^{2}  3.13^{2}.23^{12}.89.14717  2^{9}.5^{16}.11^{9}.79  1.41235  T.D.
159) 5^{4}.17.349^{3}  7^{17}.109  2^{35}.3^{5}.3037  1.41228  T.D.
160) 11^{6}.23^{3}.449^{2}  2^{26}.3^{10}.13.17^{2}.263^{2}  5^{3}.7^{4}.19^{3}.29^{8}  1.4118542 F.R.
161) 79^{3}  3^{6}.7.11.13^{5}  2^{18}.43^{3}  1.41168  A.N.
162) 3.13^{2}.1049  2^{39}.29^{2}.107  19^{3}.139^{6}  1.41161  J.B–J.B., A.N.
163) 3^{11}.7^{2}.37.47  2^{8}.17^{3}.101^{2}.191^{4}  5^{2}.353^{7}  1.41144  T.D.
164) 2^{29}.13  5^{11}.269^{3}  3^{5}.7^{2}.17^{6}.3307  1.41091  T.D.
165) 13.29^{4}  3.7^{10}.19^{4}  2^{5}.5.43^{2}.139^{4}  1.41083  A.N.
166) 67^{2}.2399  3^{13}.107^{3}  2^{6}.5^{15}  1.41068  J.B–J.B.
167) 5^{4}.53^{2}.59^{4}.101  2^{4}.11.23^{15}  3^{14}.7^{12}.463.1531 1.41032  T.D.
168) 2^{13}.3^{13}.11^{3}  13.29.43^{6}.673  5^{20}.17  1.41004  A.N.
169) 5^{12}  2^{2}.3^{21}.43^{2}.52859  7^{10}.13^{3}.17^{2}.151^{2} 1.40974  A.N.
170) 2^{11}.3^{4}.101^{4}.29221 13^{19}  5^{15}.17.53093^{2}  1.40945  T.D.
171) 7^{4}  3^{21}.11^{2}.13^{4}.138493  2^{26}.5^{7}.383.1579^{2} 1.40901  T.D.
172) 7^{2}  83^{5}  2^{2}.3^{12}.17.109  1.40897  J.B–J.B., A.N.
173) 2^{12}  3^{15}.19^{2}.73^{2}.3343  5.41^{3}.193^{5}  1.40887  A.N.
174) 2.7.11.13^{6}  23.43^{4}.449^{4}  3^{16}.53^{4}.97^{2}  1.40858  A.R.–T.S.
175) 2^{2}.13  7^{3}.41^{5}.181  3^{14}.5.67^{3}  1.40779  A.N.

no. a  b  c  α  discoverer

176) 3^{2}.233  23^{7}.293^{2}  2^{15}.5^{2}.13^{5}.31^{2}  1.40740 A.N.
177) 241  2^{12}.3^{4}.5^{6}.1181  11^{8}.13^{4}  1.40721 J.B–J.B.
178) 11^{3}.31^{5}.101.479  107^{8}  2^{31}.3^{4}.5^{6}.7  1.40715 T.D.
179) 3^{9}.163  2^{3}.11^{6}.17  5^{12}  1.40705 J.B–J.B., A.N.
180) 3^{17}.89^{4}  7^{3}.61.359^{5}  2^{13}.5.19^{8}.191  1.40681 J.D. et al.
181) 7^{9}  3^{2}.5^{7}.13^{3}  2^{16}.19^{2}.67  1.40652 N.E.–J.K.
182) 2^{19}.367^{3}  5^{17}.197.281  13^{2}.251^{6}  1.40642 A.N.
183) 2^{21}.1031  17^{8}.23^{5}.151  3^{14}.5^{2}.43^{2}.313^{3} 1.40631 T.S.
184) 2^{27}.17^{2}  7^{11}.3041^{2}  3.5^{3}.13^{8}.23^{2}.113 1.40622 J.D. et al.
185) 2^{16}.41.71  3^{15}.7^{2}  19^{7}  1.40610 A.N.
186) 13^{5}.19^{3}  2.11^{12}.1123.76081 3^{38}.397  1.40608 A.N.
187) 5.7^{2}  13^{2}.43^{3}  2^{11}.3^{8}  1.40608 J.B–J.B., A.N.
188) 13^{3}  2^{9}.37^{2}  3^{2}.5^{7}  1.40578 A.N.
189) 2^{24}.3^{5}  5.19^{5}.59^{2}  7^{10}.167  1.40544 A.N.
190) 3^{21}.7.4498001  5^{10}.499^{5}  2^{28}.17^{3}.47^{5}  1.40511 F.R.
191) 3^{5}.5^{16}.19^{3}  7^{5}.23^{2}.233^{4}.1321 2^{48}.43^{2}.67  1.40487 T.D.
192) 5^{7}.23^{7}.1493  31^{8}.3907^{2}  2^{52}.3^{2}.331  1.40480 T.D.
193) 631  2^{26}.5.29^{2}  3^{3}.7^{10}.37  1.40448 A.N.
194) 1  3^{9}.7^{2}.197  2^{7}.5^{7}.19  1.40426 A.N.
195) 5^{12}.227  2^{8}.3.7^{3}.23^{7}.41  11.19^{5}.67^{5}  1.40398 A.N.
196) 3^{9}.103  2^{8}.11^{2}.13^{5}.41^{2}.47 5^{14}.53^{3}  1.40396 A.N.
197) 3^{3}.13  2^{5}.11.19^{2}.73^{3}  5^{2}.7^{11}  1.40348 A.N.
198) 2^{2}.3^{4}.163^{3}.1006151 43^{13}  11^{9}.29^{4}.101^{3}  1.40308 T.D.
199) 5.67^{3}.127^{2}.19219 13^{18}.37.277  2.3^{15}.7^{2}.31^{10}  1.40286 A.N.
200) 3^{4}.19.61.173^{2}  2^{44}.7^{10}  5^{2}.149^{4}.503.929^{3} 1.40274 K.V.

no. a  b  c  α  discoverer

201) 2^{11}.3^{17}.13^{2}.19^{2} 29.41^{2}.83^{8}  5^{4}.47^{2}.53.107^{6} 1.40244 T.D.
202) 3^{12}.5^{6}  31^{2}.7^{9}  2^{9}.11^{5}.571  1.40218 A.N.
203) 3.5^{14}.199  7^{2}.11^{5}.17^{4}.41 2^{30}.13^{4}  1.40199 A.N.
204) 2^{33}.5  3^{9}.7^{6}.31^{2}.97  11^{2}.19^{3}.127^{4}  1.40198 A.N.
205) 2^{8}.47.103^{2}  5^{8}.19^{2}1171^{4}  3^{10}.7^{10}.17.967^{2} 1.40172 F.R.
206) 3^{6}.7^{4}.43.16421 5^{12}.439^{6}  2^{59}.41.73939  1.40168 T.D.
207) 3^{10}.5^{4}.401  13^{6}.47^{3}  2^{29}.31^{2}  1.40142 A.R.–T.S.
208) 2^{22}  7.67^{6}.137  3.5^{4}.13^{5}.353^{2}  1.40129 T.S.
209) 7^{9}.13^{4}  2^{10}.23^{3}.173^{4} 3^{12}.5.11^{6}.2371 1.40127 T.D.
210) 3^{6}.11^{2}.47.359^{2} 17^{13}  2^{21}.5^{4}.2749^{2}  1.40126 K.V.
211) 1  3^{7}.13^{5}.17.1831 2^{30}.5^{2}.127.353^{2} 1.40119 J.D. et al.
212) 2^{29}.7  3^{2}.31^{2}.73^{4}.349 5^{15}.53^{2}  1.40116 A.N.
213) 23^{4}.71^{2}  7^{14}.1231  2^{4}.5^{2}.11^{2}.29^{7}  1.40081 A.N.
214) 13^{4}  17^{6}.463  2^{21}.73^{2}  1.40059 A.N.
215) 2^{14}.3^{13}.5  7.29^{6}.71^{2}  11^{9}.13^{2}.53  1.40032 A.N.
216) 5^{18}.6359  3^{2}.47^{6}.73^{3}  2^{7}.19^{10}.79  1.40026 A.N.
217) 17^{4}  2.7^{12}.29^{3}.743 3^{9}.5^{6}.13^{5}.23.191 1.40004 T.D.