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Top 10 active players as of July 31, 1982


Top 500 active players as of July 31, 1982

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27574929.5% #531.19
2 Kasparov, Garry K27575131.1% #619.30
3 Korchnoi, Viktor L2719499.3% #1351.36
4 Beliavsky, Alexander G2702505.2% #1828.62
5 Tal, Mikhail2697494.1% #2045.73
6 Portisch, Lajos2688492.6% #2345.32
7 Romanishin, Oleg M2682492.1% #2630.56
8 Polugaevsky, Lev A2679512.2% #2747.70
9 Psakhis, Lev B2678501.8% #2823.67
10 Petrosian, Tigran V2669501.3% #3353.12
11 Andersson, Ulf2667481.0% #3331.09
12 Timman, Jan H2666480.8% #3330.63
13 Ljubojevic, Ljubomir2663490.8% #3531.74
14 Spassky, Boris V2660500.7% #3845.50
15 Hübner, Robert2659490.6% #3833.73
16 Dolmatov, Sergey V2651500.5% #4323.45
17 Tseshkovsky, Vitaly V2649490.4% #4437.85
18 Hort, Vlastimil2649480.3% #4338.55
19 Gulko, Boris F2649520.6% #4635.48
20 Smyslov, Vassily V2647520.6% #4661.35
21 Balashov, Yury S2647500.4% #4633.38
22 Ribli, Zoltán2646490.4% #4630.90
23 Vaganian, Rafael A2634500.2% #5530.79
24 Larsen, Bent2628490.1% #5947.41
25 Geller, Efim P2625510.1% #6357.41
26 Seirawan, Yasser2621510.1% #6722.35
27 Sax, Gyula2620490.1% #6731.12
28 Sosonko, Gennadi2618490.1% #6839.20
29 Kovacevic, Vladimir2617550.2% #7240.35
30 Tukmakov, Vladimir B2616520.1% #7136.38
31 Dorfman, Iosif D2615510.1% #7230.25
32 Bronstein, David I2612530.1% #7558.45
33 Lerner, Konstantin Z2612570.2% #7832.42
34 Jussupow, Artur M2612500.1% #7422.47
35 Gorelov, Sergey G2606580.1% #8424.95
36 Nunn, John D M260450 #8127.27
37 Kavalek, Lubomir260150 #8338.97
38 Gheorghiu, Florin260150 #8438.32
39 Razuvaev, Yury S260152 #8636.81
40 Kholmov, Ratmir D2599660.3% #9657.22
41 Kupreichik, Viktor D259950 #8633.08
42 Rashkovsky, Nukhim N259852 #8836.29
43 Alburt, Lev O259254 #9436.94
44 Miles, Anthony J259048 #9327.27
45 Makarichev, Sergey Y258952 #9728.70
46 Gipslis, Aivars258958 #10145.48
47 Sveshnikov, Evgeny E258851 #9732.47
48 Palatnik, Semen A2588620.1% #10432.35
49 Eingorn, Viacheslav S2587680.2% #10925.68
50 Dzindzichashvili, Roman Y2586580.1% #10338.24
51 Kuzmin, Gennady P258550 #9936.53
52 Panchenko, Alexander N258455 #10328.82
53 Taimanov, Mark E258457 #10556.48
54 Vitolinš, Alvis2584580.1% #10536.13
55 Mikhalchishin, Adrian B258352 #10227.70
56 Averbakh, Yury L2581630.1% #11360.48
57 Gligoric, Svetozar258052 #10559.49
58 Smejkal, Jan258050 #10536.36
59 Parma, Bruno257958 #11140.59
60 Vasiukov, Evgeny A257853 #10849.40
61 Ivanov, Igor V2578660.1% #11835.56
62 Agzamov, Georgy T257854 #11027.90
63 Gufeld, Eduard E257653 #11146.37
64 Browne, Walter S257549 #10933.56
65 Kochiev, Alexander257561 #11726.35
66 Lputian, Smbat G257255 #11624.46
67 Kremenetsky, Anatoly M256759 #12443.55
68 Suba, Mihai256652 #12035.16
69 Knaak, Rainer F256649 #11829.37
70 Veingold, Aleksander2566680.1% #13028.81
71 Savon, Vladimir A256653 #12141.85
72 Evans, Larry M2565730.1% #13550.36
73 Kurajica, Bojan256450 #12134.71
74 Gurgenidze, Bukhuti I256463 #12848.72
75 Bagirov, Vladimir K256352 #12245.95
76 Ftácnik, Lubomír256150 #12324.75
77 Didishko, Vereslav256158 #12933.31
78 Yurtaev, Leonid2560730.1% #13923.25
79 Georgadze, Tamaz V256053 #12634.73
80 Chernin, Alexander M255960 #13222.40
81 Vorotnikov, Vladislav V255965 #13534.95
82 Christiansen, Larry M255950 #12526.09
83 Petrosian, Arshak B255754 #12928.62
84 Pintér, József255551 #13028.73
85 Stean, Michael F255551 #13028.91
86 Lein, Anatoly255551 #13051.34
87 Tarjan, James E255360 #13730.44
88 Adorján, András255351 #13232.33
89 Speelman, Jonathan S255350 #13225.83
90 Murey, Yakov254957 #14040.99
91 Vyzmanavin, Alexey2548730.1% #15022.58
92 Nemet, Ivan254767 #14739.30
93 Timoshchenko, Gennady254754 #14033.26
94 Vogt, Lothar H254649 #13730.54
95 Ivanovic, Božidar254551 #13935.93
96 Byrne, Robert E254555 #14254.28
97 Najdorf, Miguel254454 #14172.29
98 Yudasin, Leonid G254254 #14422.97
99 Uhlmann, Wolfgang254249 #14147.34
100 Řgaard, Leif254157 #14630.57
101 Abramovic, Boško254154 31.46
102 Torre, Eugenio254152 30.74
103 Lombardy, William J253966 44.66
104 Sturua, Zurab253959 23.15
105 Velimirovic, Dragoljub253951 40.22
106 Chekhov, Valery A253753 26.68
107 Pfleger, Helmut253758 38.98
108 Keene, Raymond253752
109 Anikaev, Yury253755 34.09
110 Pachmann, Ludek253674 58.22
111 Ivkov, Borislav253450 48.72
112 Panno, Oscar R253455 47.37
113 Shamkovich, Leonid A253453 59.16
114 Kengis, Edvins253459 23.30
115 Liberzon, Vladimir M253455 45.36
116 Tseitlin, Mikhail S253457 35.12
117 Filip, Miroslav253371 53.76
118 Faragó, Iván253249 36.33
119 Grigorian, Karen A253158 34.90
120 Nikolic, Predrag253051 21.89
121 Nei, Iivo253068 50.75
122 Gavrikov, Victor N252954 25.01
123 Kharitonov, Andrey Y252957 23.32
124 Azmaiparashvili, Zurab A252760 22.37
125 Simic, Radoslav252758 34.14
126 Quinteros, Miguel A252653 34.59
127 Matulovic, Milan252653 47.14
128 van der Wiel, John T H252650 22.97
129 Nikolic, Zivoslav252555 28.63
130 Eolian, Levon S252463 22.87
131 Csom, István252449 42.16
132 Vladimirov, Evgeny Y252458 25.53
133 Darga, Klaus V252368 48.44
134 Chandler, Murray G252349 22.32
135 Ivanov, Alexander V252364 26.25
136 Cebalo, Mišo252252 37.48
137 Bukic, Enver252156 44.66
138 Thipsay, Praveen Mahadeo252069 22.96
139 Nikolac, Juraj252069 50.27
140 Tringov, Georgy P251955 45.40
141 Andrianov, Nikolai251957 20.61
142 Reshevsky, Samuel H251858 70.68
143 Ree, Hans251850 37.88
144 Suetin, Alexey S251853 55.71
145 Lukin, Andrei M251770 33.92
146 Olafsson, Fridrik251759 47.51
147 Lukacs, Peter251651 32.06
148 Stoica, Valentin251561 32.46
149 Vukic, Milan251555 38.94
150 Hulak, Krunoslav251555 31.18
151 Mestel, A Jonathan251350 25.38
152 Bönsch, Uwe251252 23.79
153 Unzicker, Wolfgang251154 57.10
154 Magerramov, Elmar S251065 24.31
155 Sokolov, Andrey Y251060 19.36
156 Lechtynsky, Jiri250652 34.68
157 Kakageldyev, Amanmurad250570 32.59
158 Díez del Corral, Jesús250365 49.32
159 Marovic, Dražen250261 44.55
160 Biyiasas, Peter249961 31.70
161 Benko, Pal C249960 54.04
162 Schmidt, Wlodzimierz249850 39.31
163 Cámpora, Daniel H249857 25.09
164 Henley, Ron W249855 25.65
165 Karner, Hillar249870 47.01
166 Klovans, Janis249759 47.31
167 Lutikov, Anatoly S249562 49.49
168 Meduna, Eduard249549 31.89
169 Szabó, László249562 65.37
170 Radulov, Ivan249151 43.56
171 Djuric, Stefan249156 27.01
172 Malich, Burkhard G249158 45.67
173 Salov, Valery B249069 18.18
174 Marjanovic, Slavoljub249052 27.57
175 Vera, Reynaldo248959 21.56
176 deFirmian, Nicholas E248954 25.01
177 Bilek, István248962 49.96
178 Lobron, Eric248952 22.23
179 Sigurjónsson, Gudmundur248852 34.85
180 Knezevic, Milorad248853 45.75
181 Karlsson, Lars248850 27.05
182 Popov, Luben248855 46.51
183 Matanovic, Aleksandar248857 52.19
184 Ermenkov, Evgenij248752 32.84
185 Plachetka, Jan248750 37.45
186 Mnatsakanian, Eduard A248660 43.65
187 Jansa, Vlastimil248549 39.68
188 Ubilava, Elizbar E248263 31.92
189 Rodriguez, Amador248256 25.90
190 Espig, Lutz248251 33.57
191 Petrushin, Alexander I248168 35.39
192 Smagin, Sergey248162 23.90
193 Gobet, Fernand248167 20.47
194 Kalinitschew, Sergey248165 26.49
195 Mokrý, Karel248066 23.48
196 Grefe, John A248070 34.90
197 Kogan, Boris248062
198 Zaltsman, Vitaly F248060 40.76
199 Ligterink, Gert247953 32.70
200 Barczay, Laszlo247852 46.44
201 Rogulj, Branko247861 30.99
202 Peters, John A247859 31.47
203 Yermolinsky, Alex V247660 24.30
204 Calvo Minguez, Ricardo247574 38.77
205 Enklaar, Bertus F247466
206 Kirov Ivanov, Nino247452 36.89
207 Zaitsev, Igor A247454 44.18
208 Velikov, Petar247451 31.34
209 Georgiev, Krum247452 24.19
210 Spassov, Liuben247451 39.36
211 Sygulski, Artur247361 22.02
212 Zarubin, O.247167
213 Groszpeter, Attila247154 22.14
214 Cherepkov, Alexander V246968 61.75
215 García Gonzáles, Guillermo246956 28.64
216 Hazai, Laszlo246853 29.13
217 Mochalov, Evgeny V246861 30.76
218 Buturin, Vladimir246773 38.70
219 Hartston, William R246658 34.96
220 Mortensen, Erling246552 27.32
221 Popovic, Petar246552 23.46
222 Robatsch, Karl246554 53.80
223 Mariotti, Sergio246554 35.97
224 Van Wijgerden, Cornelis246559 32.19
225 Ostermeyer, Peter246457 38.80
226 Dely, Peter246462 48.07
227 Ciocaltea, Victor246352 50.54
228 Zaichik, Gennady L246367 25.47
229 Ekstroem, Roland246371 26.19
230 Platonov, Igor V246369 48.54
231 Vokác, Marek246266 23.65
232 Short, Nigel D246251 17.16
233 Inkiov, Ventzislav246151 26.20
234 Mednis, Edmar J246161 45.36
235 Wedberg, Tom246153 28.68
236 Bleiman, Yaacov246175 34.90
237 Klaric, Zlatko246155 25.77
238 Portisch, Ferenc246057 43.31
239 Podzielny, Karl Heinz246069 27.89
240 Taulbut, Shaun M245955 24.55
241 Kraidman, Yair245964 49.75
242 Bisguier, Arthur B245971 52.81
243 Rajkovic, Dusan245951 40.12
244 Sahovic, Dragutin245855 41.97
245 Donchev, Dimitar I245856 24.03
246 Martinovic, Slobodan245753 37.02
247 Soltis, Andrew E245774 35.17
248 Castro Rojas, Oscar Humberto245767 29.23
249 Sznapik, Aleksander245651 31.47
250 Gutman, Lev245558 36.85
251 Schneider, Lars Ake245554
252 Gaprindashvili, Nona245574 41.24
253 Szmetan, Jorge245466 32.18
254 Birnboim, Nathan245456 31.68
255 Dobrovolsky, Ladislav245359 31.60
256 Chiburdanidze, Maia G245352 21.54
257 Szekely, Peter245354 27.48
258 Diesen, Mark C245372
259 Antoshin, Vladimir S245359 53.21
260 Plaskett, Jim245358 22.37
261 Lengyel, Levente245364 49.13
262 Arnason, Jon L245353 21.72
263 Bradford, Joseph M245271 31.75
264 Martz, William E245266
265 Rodriguez, Ruben245267 35.65
266 Jelen, Iztok245166 35.53
267 Littlewood, Paul E245156 26.54
268 Feustel, Bernd245157 27.86
269 Adamski, Jan245153 38.72
270 Sunye Neto, Jaime244852 25.24
271 Ornstein, Axel244855 30.27
272 Tatai, Stefano244754 44.36
273 Kindermann, Stefan244755 22.59
274 Damjanovic, Mato244762 55.36
275 Hecht, Hans-Joachim244763 43.51
276 Padevsky, Nikola B244757 49.17
277 Rukavina, Josip244757 39.67
278 Schussler, Harry244753 25.10
279 Jakobsen, Ole244655 39.78
280 Pribyl, Josef244651 34.80
281 Kristiansen, Jens244656 30.18
282 Kudrin, Sergey244563 22.90
283 Duer, Arne244562 23.06
284 Gruenfeld, Yehuda244552 26.42
285 Ambroz, Jan244451 28.12
286 Taruffi, Daniele244474 23.91
287 Ghitescu, Theodor244365 48.52
288 Hug, Werner244369 29.89
289 Spiridonov, Nikola244352 44.42
290 Haik, Aldo244259 29.78
291 Sharif, Mershad244266 30.05
292 Nogueiras, Jesus244157 23.04
293 Schweber, Samuel244067 46.04
294 Minic, Dragoljub243964 45.40
295 Hernandez, Roman243959 32.69
296 Hermann, Manfred243968 39.92
297 Vadasz, Laszlo243858 34.51
298 Planinc, Albin243872 38.29
299 Velickovic, Sasa243860 31.33
300 Nun, Jiri243861 25.01
301 McCambridge, Vincent243759 22.40
302 Langeweg, Kick243652 45.40
303 Lau, Ralf243669 22.78
304 Raicevic, Vladimir243662 33.24
305 Kestler, Hans-Günter243664 42.63
306 Strauss, David J243568 35.98
307 Gurevich, Dmitry243559 25.89
308 Bouaziz, Slim243558 32.29
309 Hamann, Svend243563 41.81
310 Barua, Dibyendu243574 15.76
311 Luczak, Andrzej243457 33.65
312 Garcia Palermo, Carlos243458 28.66
313 Garcia, Gildardo243472 28.39
314 Gruenberg, Hans Ulrich243358 26.56
315 Wirthensohn, Heinz243357 31.24
316 Vooremaa, Andres243369 38.03
317 Helmers, Knut J243354 25.48
318 Pétursson, Margeir243155 22.46
319 Forintos, Gyözö V243055 47.00
320 Djukic, Zeljko242962 23.13
321 Wittmann, Walter242961 34.38
322 Debarnot, Roberto242975 34.98
323 Seret, Jean Luc242865
324 Hansen, Curt242856 17.87
325 Uusi, Gunnar242871
326 Flear, Glenn C242867 23.47
327 Donner, Johannes H242856 55.07
328 Vilela, Jose Luis242755 29.37
329 Neckar, Lubomir242758 31.99
330 Alexandria, Nana242758 32.80
331 Barlov, Dragan242654 25.50
332 Antunac, Goran242675 37.29
333 Van der Sterren, Paul242654 26.37
334 Makropoulos, Georgios242556 28.84
335 Fedorowicz, John P242556 23.84
336 Karasev, Vladimir I242568 44.12
337 Pytel, Krzysztof242564 37.21
338 Renman, Nils Gustaf242463
339 Lederman, Leon242473 35.18
340 Brinck Claussen, Bjorn242457
341 Franco Ocampos, Zenon242459 26.22
342 Shirazi, Kamran G242471 29.69
343 Lakic, Nikola242368 35.04
344 Hase, Juan Carlos242371
345 Mestrovic, Zvonimir242374 37.79
346 Reefschlaeger, Helmut242358 38.31
347 Rodriguez Vargas, Orestes242257 39.07
348 Kuligowski, Adam242253 26.60
349 Hennings, Artur242161 42.05
350 Tiller, Bjorn242159 23.54
351 Botterill, George Steven242070
352 Toth, Bela242056 39.28
353 Augustin, Josef242065 40.20
354 Wockenfuss, Klaus242064 30.92
355 Westerinen, Heikki MJ241951 38.26
356 Garcia Martinez, Silvino241958 38.07
357 Zichichi, Alvise241859 44.07
358 Despotovic, Momcilo241769 34.41
359 Flesch, Janos241771 48.84
360 Gulbrandsen, Arne Vinje241673
361 Bikhovsky, Avigdor I241674 27.40
362 Kouatly, Bachar241662 24.41
363 Tisdall, Jonathan D241559 23.92
364 Ost Hansen, Jacob241559
365 Zivanovic, Ivan241475 19.33
366 Kaiszauri, Konstanty241457 29.77
367 Bellin, Robert241457 30.09
368 Spraggett, Kevin B241476 27.72
369 Press, Grigory241471
370 Ostojic, Predrag241366 44.44
371 Greenfeld, Alon241363 18.29
372 Cvetkovic, Srdjan241259 36.42
373 Rantanen, Yrjo A241255 32.27
374 Kunsztowicz, Uwe241265 38.54
375 Guimard, Carlos E241275 69.32
376 Law, Andrew P241270 32.06
377 Shneider, Aleksandr241176 20.19
378 Budde, Vladimir241167 29.60
379 Mascarinas, Rico241163 29.41
380 Borik, Otto241154 34.85
381 Bohm, Hans241053 32.54
382 Tompa, Janos241067 35.25
383 Tavadian, Ragik240966
384 Pritchett, Craig William240964
385 Ghinda, Mihail Viorel240953 33.02
386 Fedder, Steen240964 31.13
387 Lukov, Valentin240856 26.64
388 Cramling, Dan240859 23.49
389 Krnic, Zdenko240861 34.83
390 Kuijf, Hans240871 20.22
391 Watson, John L240767 30.90
392 Arbakov, Valentin240771 30.51
393 Rubinetti, Jorge A240565 37.33
394 Olafsson, Helgi240557 25.95
395 Burger, Karl240553 49.52
396 Kelecevic, Nedeljko240556 35.39
397 Vasilev, Nikolai240368 13.41
398 Khasin, Abram I240373 59.46
399 Ioseliani, Nana240371 20.47
400 Prandstetter, Eduard240352 33.63
401 Itkis, Boris240276 29.81
402 Braga, Fernando240259 24.06
403 Bielczyk, Jacek240154 29.44
404 Hausner, Ivan240153 30.29
405 Trifunov, Dimitar240074 18.57
406 Szymczak, Zbigniew239954 30.57
407 Filipovic, Branko239973 24.82
408 Morovic Fernández, Iván E239972 19.35
409 Morris, Walter D239872 23.91
410 Sideif Sade, Fikret I239761 30.58
411 Balinas, Rosendo Carrean239768
412 Scheeren, Peter239761 27.00
413 Pekarek, Ales239773 20.62
414 Bednarski, Jacek B239766 43.38
415 Ardiansyah, Haji239658 30.65
416 Angantysson, Haukur239665 33.66
417 Sjoberg, Mats239565 23.72
418 Petran, Pal239460 35.88
419 Gurevich, Mikhail N239469 23.44
420 Zapata, Alonso239362 23.94
421 Rivas Pastor, Manuel239354 22.05
422 Tomaszewski, Roman239364 22.21
423 Schoeneberg, Manfred239264 36.07
424 Akesson, Ralf239256 21.48
425 Gerusel, Mathias239165 44.49
426 Herzog, Adolf239159 29.15
427 Pliester, Leon239163 27.94
428 Emma, Jaime J239171 44.54
429 Rath, Ulrik239169 35.60
430 Nurkic, Sahbaz239066 26.38
431 Goehring, Karl Heinz239067
432 Bischoff, Klaus238963 21.14
433 Horvath, Tamas238956 30.77
434 Ravikumar, Vaidyanathan238858 22.60
435 Cabrilo, Goran238861 24.08
436 Przewoznik, Jan238863 24.87
437 Filipenko, Alexander V238875 33.41
438 Hebert, Jean238662 24.72
439 Filipowicz, Andrzej238672 44.22
440 Hansson, Dan238666 30.14
441 Kagan, Shimon238557 40.32
442 Handoko, Edhi238558 21.92
443 Cifuentes Parada, Roberto238473 24.61
444 Danner, Georg238456 35.76
445 Banas, Jan238355 35.16
446 Bronstein, Luis238370 36.16
447 Fernandez Garcia, Jose Luis238366 28.24
448 Bastian, Herbert238374 29.64
449 Ernst, Thomas238263 21.95
450 Nowak, Ignacy238265 33.55
451 Skembris, Spyridon238156 24.44
452 Bukal, Vladimir Sr238169 42.75
453 Hartoch, Robert G238162
454 Thorsteins, Karl238062 17.80
455 Gauglitz, Gernot238057 20.09
456 Welin, Thomas237960 22.90
457 Frias, Victor J237965 26.47
458 Kraehenbuehl, Gerhard237861 21.37
459 Kuzmin, Alexey237862 19.40
460 Bohosjan, Sarkis237767 41.34
461 Mencinger, Vojko237769 24.32
462 Janoševic, Dragoljub237675 59.06
463 Cox, John J237666 20.19
464 Trikaliotis, Georgios237665 43.43
465 Nicevski, Risto237661 37.09
466 Moehring, Guenther237556 45.68
467 Fries Nielsen, Jens Ove237553 22.44
468 Pokojowczyk, Jerzy237554 33.44
469 Benjamin, Joel L237563 18.39
470 Borm, Franciscus WM237462
471 Van Riemsdijk, Herman C237463 33.92
472 Butnorius, Algimantas237471 35.70
473 Bajovic, Milan237462
474 Giardelli, Sergio C237357 27.09
475 Danailov, Silvio237363 21.28
476 Hoelzl, Franz237355 36.32
477 Nun, Josef237364 49.02
478 Dobosz, Henryk237360 29.36
479 Shvidler, Eliahu237268 22.61
480 Tischbierek, Raj237255 19.85
481 Soos, Bela237262 52.40
482 Martin Gonzalez, Angel237166 29.58
483 Stein, Bernd237163 27.53
484 Wilder, Michael237073 19.87
485 Suttles, Duncan237059 36.61
486 Rigo, Janos237060 33.76
487 Van Baarle, C John237067 37.28
488 Honfi, Karoly236958 51.77
489 Peev, Peicho Chonev236962 42.33
490 Rumens, David E236870 42.86
491 Lieb, Harald236872 47.60
492 Huss, Andreas236766 31.79
493 Soylu, Suat236765
494 Santos, Jose P236665 23.80
495 Schinzel, Wladyslaw236655 39.19
496 Barle, Janez236665 30.36
497 Horner, Jeff236572 32.93
498 Segal, Alexandru Sorin236574 34.82
499 Heinbuch, Detlef236467 21.56
500 Gonsior, Evzen236475 50.65

These ratings, calculated as of July 31, 1982, incorporate all games (against rated opponents) played in the time between August 1, 1981 and July 31, 1982, along with the ratings that were already calculated as of July 31, 1981. Players who have played an insufficient number of games in recent years will not appear on the list, even though you may see them on previous and/or subsequent lists. Any players who have been completely inactive for three years are removed from the list.

Definition of columns in the above list:

# refers to the player's world rank on this list.

Player is the full name of the player. Click on the player's name to see a career progression of the player's ratings.

Rating is the calculated rating for the player, as of July 31, 1982. This represents the player's estimated strength on August 1, 1982.

+/- is the standard deviation of the player's rating estimate. It is based on a geometric average of the number of rated games played in past years. Players who play very frequently will have a smaller +/- value, indicating a greater confidence in the accuracy of their rating. Players whose +/- value exceeds 76 are classified as "inactive" and removed from the ranking list due to their infrequent play against rated opponents. Mathematically, a player's rating is an estimate of their exact strength on August 1, 1982. The +/- value represents the standard deviation of that estimate; the player's true strength on August 1, 1982 should be within one standard deviation of their calculated rating approximately 68% of the time, and within two standard deviations of their calculated rating approximately 95% of the time.

Best? is the estimated likelihood that the player was actually the strongest player in the world on August 1, 1982. Since ratings are known to be inaccurate, it is possible that a lower-rated player is actually much stronger than their rating would indicate, and it is also possible that other players are weaker than their ratings would indicate. This number indicates the likelihood that the player is indeed the strongest player in the world. On a particular list, it will add up to 100% across the complete list of all players. This value is only calculated for the top 100 players on any rating list.

75%? gives a 75%-confidence world ranking for the player. Because ratings are known to be inaccurate, even if a particular player is rated third in the world, we cannot say with 100% certainty that they are truly one of the three strongest players in the world. This number indicates the world rank that we are 75% sure the player is "no worse than". Thus if a player has a value of #12 in this column, we are 75% sure that the player is one of the twelve strongest players in the world. This value is only calculated for the top 100 players on any rating list.

Age is the player's exact age in years, on July 31, 1982. If a player's age is displayed as a link, that means that this rating was active at the time of their next birthday. Click on the link to see the sorted list of all players' ratings on their birthdays when turning that same age.

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