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Below are the stages with the longst successful solos, as far as I put them in my database. At this moment it is not complete: 2281 out of 2358 have information, which is 96.7%. The missing stages are the ones from recent Tours, because I lost interest to update this. From this information, I created several types of statistical information about Tour solos.

Directly below are two tables. The first one is sorted by the minimal length of the solo, the second by the maximal length. The difference comes from the fact that I don't always exactly know when a solo started and when it ended, especially for the ancient stages. For example, I know that in the seventh stage of 1909, the winner (Ernest Paul) had not started his solo after 70 km, but he was alone after 120 km, and remained solo until the finish after 345 km. His solo lasted between 225 and 275 km.

At this moment, there are 52192 km of solos recorded in my database, and 19628 km of possible solos.

Longest successful solo, sorted by minimal length
YearStageMin lengthMax lengthWinner
19065325.0 km328.0 kmR. Pottier
19063258.0 km283.0 kmR. Pottier
194714253.0 km253.0 kmA. Bourlon
19079249.0 km250.0 kmL. Petit-Breton
190911240.0 km267.0 kmL. Trousselier
191911238.0 km249.0 kmH. Barthélémy
19916234.0 km234.0 kmT. Marie
191910228.0 km268.0 kmH. Barthélémy
19097225.0 km275.0 kmE. Paul
196511223.0 km223.0 kmJ. Pérez
197714222.0 km222.0 kmB. Quilfen
195012214.0 km214.0 kmM. Blomme
198516214.0 km217.0 kmF. Vichot
19113206.0 km206.0 kmF. Faber
196621204.0 km204.0 kmP. Beuffeuil
195010200.0 km200.0 kmM. Dussault
19708197.0 km197.0 kmA. Vasseur
19399195.0 km195.0 kmE. Vissers
196815193.0 km193.0 kmR. Pingeon
19137192.0 km239.0 kmM. Buysse
Longest successful solo, sorted by maximum length
YearStageMin lengthMax lengthWinner
19065325 km328 kmR. Pottier
19063258 km283 kmR. Pottier
19097225 km275 kmE. Paul
191910228 km268 kmH. Barthélémy
190911240 km267 kmL. Trousselier
194714253 km253 kmA. Bourlon
19079249 km250 kmL. Petit-Breton
191911238 km249 kmH. Barthélémy
19137192 km239 kmM. Buysse
19916234 km234 kmT. Marie
19092173 km229 kmF. Faber
196511223 km223 kmJ. Pérez
197714222 km222 kmB. Quilfen
191110177 km217 kmM. Brocco
198516214 km217 kmF. Vichot
192916186 km214 kmC. Pélissier
195012214 km214 kmM. Blomme
191413186 km211 kmF. Faber
19113206 km206 kmF. Faber
196621204 km204 kmP. Beuffeuil

As bonus, here is a third table: the best estimate of the real solo length that I can make is the average between the minimum and maximum lengths, and the table below is sorted by this average.

YearStageMin lengthMax lengthWinner
19065325 km328 kmR. Pottier
19063258 km283 kmR. Pottier
190911240 km267 kmL. Trousselier
194714253 km253 kmA. Bourlon
19097225 km275 kmE. Paul
19079249 km250 kmL. Petit-Breton
191910228 km268 kmH. Barthélémy
191911238 km249 kmH. Barthélémy
19916234 km234 kmT. Marie
196511223 km223 kmJ. Pérez
197714222 km222 kmB. Quilfen
19137192 km239 kmM. Buysse
198516214 km217 kmF. Vichot
195012214 km214 kmM. Blomme
19113206 km206 kmF. Faber
196621204 km204 kmP. Beuffeuil
19092173 km229 kmF. Faber
192916186 km214 kmC. Pélissier
195010200 km200 kmM. Dussault
191413186 km211 kmF. Faber

And below tables of how long each rider was leading the race in a solo (including not successful ones). However you look at the data, Faber is always leading, followed by Pottier.

Total solos per rider, sorted by minimal length
RennerSolo
F. Faber1186.5 km
R. Pottier794.5 km
R. Vietto615.5 km
H. Barthélémy555 km
F. Bahamontes533 km
J. Robic514 km
R. Clère495 km
R. Géminiani476 km
E. Chozas468 km
C. Gaul433 km
M. Brocco428.5 km
L. Petit-Breton412.5 km
L. Buysse353.5 km
T. Marie352.5 km
J. Agostinho350.5 km
E. Poli338.5 km
L. Trousselier338.5 km
J. Jiménez326.5 km
M. Buysse322.5 km
F. Manzaneque314.5 km
Total solos per rider, sorted by maximum length
RennerSolo
F. Faber1691.5 km
R. Pottier994.5 km
F. Bahamontes869.5 km
R. Vietto752.5 km
H. Barthélémy710 km
J. Robic636 km
M. Brocco576.5 km
F. Lambot562.5 km
L. Trousselier559.5 km
V. Trueba551 km
R. Clère546.5 km
C. Gaul540.5 km
L. Petit-Breton537.5 km
R. Géminiani513 km
E. Chozas503.5 km
B. Faure502.5 km
M. Buysse496.5 km
L. Buysse487.5 km
R. Virenque451 km
J. Alavoine434.5 km
G. Bartali416.5 km
E. Christophe412.5 km
J. Jiménez406.5 km
E. Paul391.5 km
S. Chavanel372.5 km
Total solos per rider, sorted by average length
RennerSolo
F. Faber1439 km
R. Pottier894.5 km
F. Bahamontes701.5 km
R. Vietto684 km
H. Barthélémy632.5 km
J. Robic575 km
R. Clère521 km
M. Brocco502.5 km
R. Géminiani494.5 km
C. Gaul487 km
E. Chozas486 km
L. Petit-Breton475 km
L. Trousselier449 km
F. Lambot426.5 km
L. Buysse420.5 km
M. Buysse409.5 km
B. Faure390 km
V. Trueba368.5 km
R. Virenque367 km
J. Jiménez366.5 km
J. Agostinho359.5 km
G. Bartali359 km
J. Alavoine356 km
T. Marie355.5 km
E. Poli338.5 km

Below is an overview of missing information. The longest "gaps" of information, where I did not put any data in my database. Sometimes this is no problem, for example the 183 km of stage 21 in 1950 where according to reports nothing interesting happened, and the riders just rode together in the peloton. For recent years, I did not put in anything because I lost interest.

No information
YearStageGap
20223182 km
20234182 km
202311180 km
20227176 km
202018175 km
202015174 km
202319173 km
20237170 km
20207168 km
202010168 km
202011167 km
202310167 km
20204160 km
20216160 km
20225157 km
20201156 km
20209153 km
20214150 km
202210148 km
202320133 km
202217130 km
202021122 km
202221116 km
202321115 km
202121108 km
19852146 km
1990245 km
20222040 km
20211239 km
20202036 km
20212030 km
2021527 km
19651B23 km
19683A22 km
20231622 km
19643B21 km
19663A21 km
19691B16 km
2022113 km
19732A12 km
197419B12 km
19703A11 km
1971P11 km
197011A9 km
19746B9 km
1996P9 km
19698A8 km
197020B8 km
1976P8 km
1980P8 km
1992P8 km
1997P8 km
2001P8 km
1973P7 km
1974P7 km
1989P7 km
1994P7 km
1995P7 km
19671A6 km
19681A6 km
1975P6 km
197622A6 km
1981P6 km
1983P6 km
1985P6 km
1987P6 km
1990P6 km
1993P6 km
1999P6 km
1978P5 km
Largest gaps in reports
YearStageGap
195021183 km
197210182 km
20223182 km
20234182 km
202311180 km
20227176.5 km
19538175 km
202018175 km
202015174.5 km
196421173.5 km
195124173 km
202319173 km
20237170 km
202010168.5 km
194913168 km
20207168 km
202310167.5 km
194718167 km
202011167 km
19549164 km
Completeness of years
19036 out of 6
1910191
19046 out of 6
2010201
190511 out of 11
605289316
190613 out of 13
1162880282
190714 out of 14
549257292
190814 out of 14
355116239
190914 out of 14
15191059460
191015 out of 15
1078352726
191115 out of 15
15871210377
191215 out of 15
1216545671
191315 out of 15
961481480
191415 out of 15
801328473
191915 out of 15
992726266
192015 out of 15
424177247
192115 out of 15
456197259
192215 out of 15
281177104
192315 out of 15
598446152
192415 out of 15
460241219
192518 out of 18
395200195
192617 out of 17
695436259
192724 out of 24
796654142
192822 out of 22
564358206
192922 out of 22
1143472671
193021 out of 21
506236270
193124 out of 24
739315424
193221 out of 21
493133360
193323 out of 23
652321331
193424 out of 24
926590336
193527 out of 27
883520363
193627 out of 27
666409257
193731 out of 31
1084766318
193829 out of 29
259136123
193928 out of 28
45236191
194721 out of 21
13621126236
194821 out of 21
788640148
194921 out of 21
631442189
195022 out of 22
1071830241
195124 out of 24
907724183
195223 out of 23
829676153
195322 out of 22
39031773
195425 out of 25
595459136
195523 out of 23
1001871130
195623 out of 23
532413119
195724 out of 24
903696207
195824 out of 24
474308166
195922 out of 22
719528191
196022 out of 22
575438137
196122 out of 22
424293131
196224 out of 24
740548192
196323 out of 23
408253155
196424 out of 25
632493139
196523 out of 24
848746102
196624 out of 25
58248597
196724 out of 25
968856112
196824 out of 26
78774641
196924 out of 26
12061101105
197026 out of 29
77968891
197124 out of 25
50044753
197225 out of 25
48540877
197325 out of 27
69964059
197424 out of 27
48343053
197524 out of 25
587433154
197624 out of 27
862692170
197727 out of 28
91985564
197823 out of 24
28524837
197924 out of 25
425229196
198024 out of 25
701504197
198124 out of 25
517412105
198222 out of 22
956802154
198322 out of 23
1079916163
198423 out of 24
687521166
198522 out of 24
85077674
198623 out of 24
879756123
198725 out of 26
11721067105
198822 out of 22
491351140
198921 out of 22
846607239
199020 out of 22
74365885
199122 out of 23
933719214
199221 out of 22
821633188
199320 out of 21
61352588
199421 out of 22
65155398
199520 out of 21
57454430
199621 out of 22
467295172
199721 out of 22
825635190
199820 out of 21
325158167
199920 out of 21
39531283
200021 out of 21
559403156
200120 out of 21
36626799
200221 out of 21
36029763
200321 out of 21
55048268
200421 out of 21
19914158
200521 out of 21
59249894
200621 out of 21
32027050
200721 out of 21
538399139
200821 out of 21
456345111
200921 out of 21
30324261
201021 out of 21
25119160
201121 out of 21
27321657
201221 out of 21
29121279
201321 out of 21
393293100
201421 out of 21
494348146
201521 out of 21
501399102
201621 out of 21
42733592
201721 out of 21
51142289
201821 out of 21
754599155
201921 out of 21
36028773
202011 out of 21
47239577
202115 out of 21
605486119
202213 out of 21
32724879
202313 out of 21
27820078