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Top 10 active players as of June 30, 1982


Top 500 active players as of June 30, 1982

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K27605130.3% #619.21
2 Karpov, Anatoly E27604929.3% #631.10
3 Korchnoi, Viktor L2718497.8% #1451.27
4 Beliavsky, Alexander G2705505.2% #1828.54
5 Tal, Mikhail2700493.8% #2045.64
6 Psakhis, Lev B2699514.2% #2123.59
7 Portisch, Lajos2690492.6% #2445.24
8 Polugaevsky, Lev A2684512.3% #2747.61
9 Romanishin, Oleg M2683491.9% #2730.47
10 Timman, Jan H2680481.5% #2830.54
11 Petrosian, Tigran V2677511.7% #3053.04
12 Andersson, Ulf2669480.9% #3331.01
13 Ljubojevic, Ljubomir2665490.8% #3631.66
14 Spassky, Boris V2659500.6% #4045.42
15 Hübner, Robert2659490.7% #3933.65
16 Dolmatov, Sergey V2653500.5% #4423.36
17 Tseshkovsky, Vitaly V2652490.4% #4437.76
18 Gulko, Boris F2651520.5% #4635.39
19 Balashov, Yury S2649500.4% #4633.30
20 Ribli, Zoltán2641500.3% #5230.81
21 Larsen, Bent2640490.2% #5247.32
22 Smyslov, Vassily V2638540.4% #5761.27
23 Hort, Vlastimil2637480.2% #5438.47
24 Vaganian, Rafael A2636500.2% #5630.71
25 Jussupow, Artur M2632500.2% #5922.38
26 Geller, Efim P2627510.1% #6357.33
27 Browne, Walter S2624500.1% #6633.47
28 Sax, Gyula2622490.1% #6631.03
29 Sosonko, Gennadi2621500.1% #6739.12
30 Seirawan, Yasser2621510.1% #6922.27
31 Kovacevic, Vladimir2620550.2% #7140.26
32 Dorfman, Iosif D2617510.1% #7230.16
33 Tukmakov, Vladimir B2615530.1% #7536.29
34 Lerner, Konstantin Z2615570.2% #7832.34
35 Bronstein, David I2614530.1% #7658.36
36 Kavalek, Lubomir261049 #7738.89
37 Gorelov, Sergey G2608580.1% #8424.87
38 Miles, Anthony J260848 #7927.19
39 Nunn, John D M260450 #8427.18
40 Razuvaev, Yury S2603520.1% #8636.72
41 Kholmov, Ratmir D2602660.3% #9757.13
42 Kupreichik, Viktor D260150 #8732.98
43 Rashkovsky, Nukhim N260052 #8836.20
44 Gheorghiu, Florin259750 #9138.23
45 Makarichev, Sergey Y259252 #9728.62
46 Gipslis, Aivars2591580.1% #10145.39
47 Sveshnikov, Evgeny E259151 #9632.38
48 Kuzmin, Gennady P259050 #9736.45
49 Palatnik, Semen A2590620.1% #10632.26
50 Dzindzichashvili, Roman Y2589580.1% #10438.15
51 Eingorn, Viacheslav S2589680.2% #11225.60
52 Alburt, Lev O258753 #10336.86
53 Taimanov, Mark E258757 #10556.40
54 Panchenko, Alexander N258655 #10428.73
55 Vitolinš, Alvis258658 #10636.04
56 Mikhalchishin, Adrian B258652 #10227.62
57 Averbakh, Yury L2583630.1% #11460.39
58 Gligoric, Svetozar258352 #10659.41
59 Smejkal, Jan258250 #10636.27
60 Parma, Bruno258158 #11140.50
61 Vasiukov, Evgeny A258153 #10849.32
62 Agzamov, Georgy T258054 #11027.81
63 Ivanov, Igor V2580660.1% #11835.48
64 Gufeld, Eduard E257953 #11146.28
65 Kochiev, Alexander257761 #11726.26
66 Lputian, Smbat G257455 #11724.38
67 Knaak, Rainer F256949 #11829.29
68 Kremenetsky, Anatoly M256959 #12343.46
69 Veingold, Aleksander2569680.1% #13128.72
70 Evans, Larry M2568730.2% #13450.27
71 Christiansen, Larry M256749 #12026.01
72 Gurgenidze, Bukhuti I256763 #12948.63
73 Didishko, Vereslav256657 #12633.22
74 Bagirov, Vladimir K256552 #12345.87
75 Savon, Vladimir A256553 #12441.76
76 Yurtaev, Leonid2563730.1% #14023.16
77 Georgadze, Tamaz V256353 #12734.64
78 Pintér, József256252 #12728.64
79 Vorotnikov, Vladislav V256265 #13534.87
80 Kurajica, Bojan256150 #12634.62
81 Ftácnik, Lubomír256150 #12724.67
82 Petrosian, Arshak B256054 #13028.54
83 Chernin, Alexander M255959 #13422.31
84 Adorján, András255651 #13132.25
85 Stean, Michael F255651 #13228.82
86 Lein, Anatoly255551 #13351.26
87 Speelman, Jonathan S255450 #13325.74
88 Byrne, Robert E255154 #13954.19
89 Suba, Mihai255153 #13835.08
90 Murey, Yakov255057 #14240.91
91 Nemet, Ivan2550670.1% #14839.21
92 Timoshchenko, Gennady254954 #14033.17
93 Tarjan, James E254958 #14230.36
94 Vogt, Lothar H254949 #13730.45
95 Ivanovic, Božidar254851 #13935.85
96 Vyzmanavin, Alexey2548730.1% #15322.49
97 Řgaard, Leif254760 #14530.48
98 Najdorf, Miguel254754 #14272.21
99 Nikolic, Predrag254752 #14121.80
100 Torre, Eugenio254552 #14230.65
101 Uhlmann, Wolfgang254549 47.25
102 Yudasin, Leonid G254554 22.89
103 Abramovic, Boško254454 31.38
104 Lombardy, William J254266 44.57
105 Sturua, Zurab254259 23.06
106 Velimirovic, Dragoljub254151 40.13
107 Chekhov, Valery A254053 26.59
108 Anikaev, Yury253955 34.00
109 Ivkov, Borislav253849 48.63
110 Pachmann, Ludek253874 58.13
111 Thipsay, Praveen Mahadeo253766 22.88
112 Panno, Oscar R253755 47.29
113 Keene, Raymond253751
114 Liberzon, Vladimir M253755 45.27
115 Tseitlin, Mikhail S253757 35.04
116 Kengis, Edvins253659 23.22
117 Filip, Miroslav253567 53.67
118 Faragó, Iván253449 36.24
119 Grigorian, Karen A253458 34.81
120 Pfleger, Helmut253358 38.90
121 Nei, Iivo253368 50.66
122 Gavrikov, Victor N253254 24.91
123 Kharitonov, Andrey Y253257 23.24
124 Simic, Radoslav252958 34.06
125 Azmaiparashvili, Zurab A252960 22.29
126 Quinteros, Miguel A252953 34.51
127 Darga, Klaus V252969 48.35
128 Matulovic, Milan252853 47.05
129 Unzicker, Wolfgang252853 57.01
130 Reshevsky, Samuel H252756 70.59
131 Vladimirov, Evgeny Y252758 25.44
132 van der Wiel, John T H252651 22.89
133 Eolian, Levon S252663 22.79
134 Nikolic, Zivoslav252655 28.55
135 Csom, István252649 42.08
136 Shamkovich, Leonid A252654 59.08
137 Ivanov, Alexander V252564 26.16
138 Cebalo, Mišo252452 37.40
139 Bukic, Enver252456 44.58
140 Chandler, Murray G252349 22.24
141 Nikolac, Juraj252269 50.19
142 Tringov, Georgy P252155 45.31
143 Andrianov, Nikolai252157 20.53
144 Suetin, Alexey S252053 55.62
145 Lukin, Andrei M252070 33.84
146 Lukacs, Peter252051 31.97
147 Olafsson, Fridrik251959 47.43
148 Stoica, Valentin251861 32.37
149 Vukic, Milan251855 38.86
150 Mestel, A Jonathan251751 25.30
151 Hulak, Krunoslav251755 31.10
152 Bönsch, Uwe251452 23.71
153 Magerramov, Elmar S251265 24.22
154 Lechtynsky, Jiri250952 34.60
155 Kakageldyev, Amanmurad250870 32.51
156 Kogan, Boris250859
157 Díez del Corral, Jesús250765 49.23
158 Marovic, Dražen250661 44.46
159 Lobron, Eric250652 22.15
160 Ree, Hans250550 37.79
161 Benko, Pal C250260 53.95
162 Biyiasas, Peter250261 31.61
163 Schmidt, Wlodzimierz250150 39.22
164 Cámpora, Daniel H250157 24.99
165 Karlsson, Lars250150 26.96
166 Sokolov, Andrey Y250161 19.28
167 Karner, Hillar250070 46.92
168 Klovans, Janis250059 47.22
169 Henley, Ron W250055 25.57
170 deFirmian, Nicholas E250053 24.92
171 Lutikov, Anatoly S249762 49.40
172 Szabó, László249762 65.28
173 Bastian, Herbert249765 29.55
174 Djuric, Stefan249456 26.92
175 Malich, Burkhard G249458 45.59
176 Radulov, Ivan249451 43.48
177 Meduna, Eduard249350 31.80
178 Mokrý, Karel249365 23.40
179 Vera, Reynaldo249259 21.48
180 Marjanovic, Slavoljub249152 27.48
181 Bilek, István249162 49.88
182 Salov, Valery B249169 18.09
183 Popov, Luben249155 46.42
184 Matanovic, Aleksandar249057 52.10
185 Ermenkov, Evgenij248952 32.75
186 Mnatsakanian, Eduard A248960 43.56
187 Ubilava, Elizbar E248563 31.84
188 Plachetka, Jan248550 37.37
189 Rodriguez, Amador248556 25.81
190 Knezevic, Milorad248552 45.66
191 Espig, Lutz248551 33.48
192 Petrushin, Alexander I248468 35.30
193 Grefe, John A248370 34.81
194 Zaltsman, Vitaly F248360 40.68
195 Smagin, Sergey248262 23.81
196 Kalinitschew, Sergey248265 26.41
197 Peters, John A248257 31.39
198 Kirov Ivanov, Nino248152 36.81
199 Rogulj, Branko248061 30.91
200 Sigurjónsson, Gudmundur248051 34.76
201 Barczay, Laszlo248052 46.36
202 Jansa, Vlastimil247949 39.59
203 Calvo Minguez, Ricardo247974 38.69
204 Yermolinsky, Alex V247860 24.22
205 Enklaar, Bertus F247766
206 Zaitsev, Igor A247754 44.09
207 Georgiev, Krum247652 24.10
208 Spassov, Liuben247651 39.27
209 Sygulski, Artur247661 21.93
210 Velikov, Petar247551 31.25
211 Groszpeter, Attila247454 22.06
212 Mariotti, Sergio247455 35.89
213 Ligterink, Gert247353 32.62
214 Zarubin, O.247267
215 Cherepkov, Alexander V247268 61.67
216 García Gonzáles, Guillermo247256 28.56
217 Mochalov, Evgeny V247061 30.67
218 Hazai, Laszlo247053 29.04
219 Podzielny, Karl Heinz247066 27.80
220 Hartston, William R246958 34.88
221 Buturin, Vladimir246973 38.61
222 Robatsch, Karl246854 53.71
223 Dely, Peter246662 47.98
224 Portisch, Ferenc246656 43.22
225 Ostermeyer, Peter246657 38.72
226 Ciocaltea, Victor246651 50.45
227 Zaichik, Gennady L246567 25.38
228 Van Wijgerden, Cornelis246563 32.10
229 Platonov, Igor V246569 48.45
230 Ekstroem, Roland246571 26.11
231 Vokác, Marek246566 23.56
232 Martinovic, Slobodan246553 36.92
233 Klaric, Zlatko246555 25.68
234 Mednis, Edmar J246461 45.27
235 Inkiov, Ventzislav246451 26.11
236 Wedberg, Tom246453 28.59
237 Mortensen, Erling246352 27.23
238 Kraidman, Yair246364 49.66
239 Popovic, Petar246352 23.38
240 Bisguier, Arthur B246271 52.73
241 Bleiman, Yaacov246175 34.81
242 Taulbut, Shaun M246155 24.47
243 Rajkovic, Dusan246151 40.04
244 Donchev, Dimitar I246056 23.94
245 Rodriguez, Ruben246064 35.56
246 Sahovic, Dragutin246055 41.89
247 Soltis, Andrew E245974 35.09
248 Sznapik, Aleksander245951 31.39
249 Gutman, Lev245858 36.76
250 Schneider, Lars Ake245855
251 Gaprindashvili, Nona245774 41.16
252 Gruenfeld, Yehuda245753 26.34
253 Szmetan, Jorge245666 32.09
254 Szekely, Peter245654 27.39
255 Diesen, Mark C245672
256 Chiburdanidze, Maia G245652 21.45
257 Lengyel, Levente245664 49.05
258 Antoshin, Vladimir S245659 53.13
259 Kristiansen, Jens245555 30.10
260 Plaskett, Jim245558 22.28
261 Jelen, Iztok245566 35.45
262 Dobrovolsky, Ladislav245559 31.52
263 Arnason, Jon L245453 21.63
264 Feustel, Bernd245457 27.78
265 Bradford, Joseph M245471 31.66
266 Adamski, Jan245453 38.63
267 Hecht, Hans-Joachim245464 43.42
268 Kudrin, Sergey245359 22.81
269 Martz, William E245366
270 Littlewood, Paul E245356 26.45
271 Ornstein, Axel245154 30.18
272 Tatai, Stefano245154 44.27
273 Schussler, Harry245152 25.02
274 Damjanovic, Mato244962 55.27
275 Rukavina, Josip244957 39.59
276 Padevsky, Nikola B244957 49.09
277 Pribyl, Josef244851 34.72
278 Duer, Arne244862 22.96
279 Kindermann, Stefan244755 22.51
280 Hug, Werner244766 29.80
281 Donner, Johannes H244756 54.98
282 Ambroz, Jan244751 28.03
283 Spiridonov, Nikola244652 44.34
284 Ghitescu, Theodor244665 48.43
285 Taruffi, Daniele244574 23.82
286 Haik, Aldo244559 29.70
287 Kuligowski, Adam244454 26.52
288 Jakobsen, Ole244454 39.70
289 Nogueiras, Jesus244457 22.95
290 Schweber, Samuel244367 45.95
291 Short, Nigel D244251 17.08
292 Minic, Dragoljub244264 45.32
293 Hernandez, Roman244259 32.60
294 Sharif, Mershad244166 29.96
295 Planinc, Albin244172 38.20
296 Vadasz, Laszlo244158 34.42
297 Sunye Neto, Jaime244054 25.16
298 Hermann, Manfred244068 39.83
299 Nun, Jiri244061 24.92
300 Velickovic, Sasa244060 31.24
301 Birnboim, Nathan243958 31.59
302 Raicevic, Vladimir243962 33.16
303 Burger, Karl243854 49.44
304 Lau, Ralf243869 22.70
305 Wirthensohn, Heinz243759 31.15
306 Hamann, Svend243763 41.73
307 Strauss, David J243768 35.90
308 Gurevich, Dmitry243759 25.80
309 Luczak, Andrzej243757 33.57
310 Garcia Palermo, Carlos243758 28.58
311 Garcia, Gildardo243672 28.31
312 Castro Rojas, Oscar Humberto243665 29.14
313 McCambridge, Vincent243658 22.31
314 Gruenberg, Hans Ulrich243658 26.47
315 Vooremaa, Andres243669 37.94
316 Bischoff, Klaus243662 21.06
317 Barua, Dibyendu243574 15.67
318 Langeweg, Kick243553 45.31
319 Forintos, Gyözö V243355 46.91
320 Wittmann, Walter243361 34.30
321 Debarnot, Roberto243275 34.90
322 Flear, Glenn C243067 23.38
323 Vilela, Jose Luis243055 29.28
324 Djukic, Zeljko243062 23.05
325 Uusi, Gunnar243071
326 Alexandria, Nana242958 32.71
327 Neckar, Lubomir242958 31.91
328 Seret, Jean Luc242965
329 Brinck Claussen, Bjorn242957
330 Makropoulos, Georgios242856 28.76
331 Antunac, Goran242875 37.20
332 Karasev, Vladimir I242868 44.04
333 Westerinen, Heikki MJ242751 38.17
334 Renman, Nils Gustaf242762
335 Lederman, Leon242773 35.10
336 Fedorowicz, John P242755 23.76
337 Pytel, Krzysztof242764 37.12
338 Franco Ocampos, Zenon242759 26.13
339 Shirazi, Kamran G242671 29.61
340 Lakic, Nikola242668 34.95
341 Hase, Juan Carlos242671
342 Mestrovic, Zvonimir242674 37.70
343 Greenfeld, Alon242564 18.20
344 Rodriguez Vargas, Orestes242457 38.98
345 Hennings, Artur242461 41.96
346 Reefschlaeger, Helmut242357 38.23
347 Botterill, George Steven242370
348 Tiller, Bjorn242359 23.45
349 Augustin, Josef242265 40.12
350 Wockenfuss, Klaus242262 30.84
351 Bohm, Hans242254 32.46
352 Garcia Martinez, Silvino242158 37.98
353 Helmers, Knut J242055 25.40
354 Flesch, Janos242071 48.75
355 Zichichi, Alvise242058 43.98
356 Despotovic, Momcilo241969 34.32
357 Kouatly, Bachar241862 24.32
358 Toth, Bela241857 39.20
359 Gulbrandsen, Arne Vinje241773
360 Pétursson, Margeir241754 22.37
361 Van der Sterren, Paul241756 26.29
362 Ost Hansen, Jacob241661
363 Kaiszauri, Konstanty241657 29.68
364 Tisdall, Jonathan D241659 23.84
365 Bikhovsky, Avigdor I241674 27.32
366 Bellin, Robert241657 29.99
367 Ostojic, Predrag241665 44.36
368 Zivanovic, Ivan241675 19.25
369 Spraggett, Kevin B241576 27.64
370 Press, Grigory241571
371 Barlov, Dragan241454 25.42
372 Cvetkovic, Srdjan241459 36.34
373 Law, Andrew P241470 31.97
374 Guimard, Carlos E241475 69.23
375 Cramling, Dan241359 23.40
376 Kestler, Hans-Günter241360 42.55
377 Mascarinas, Rico241363 29.33
378 Kunsztowicz, Uwe241364 38.45
379 Tompa, Janos241267 35.17
380 Shneider, Aleksandr241276 20.11
381 Fedder, Steen241264 31.04
382 Ghinda, Mihail Viorel241253 32.92
383 Lukov, Valentin241156 26.55
384 Pritchett, Craig William241164
385 Tavadian, Ragik241166
386 Watson, John L241067 30.82
387 Krnic, Zdenko240961 34.74
388 Rubinetti, Jorge A240865 37.25
389 Arbakov, Valentin240871 30.42
390 Olafsson, Helgi240856 25.87
391 Kelecevic, Nedeljko240856 35.30
392 Braga, Fernando240559 23.97
393 Prandstetter, Eduard240552 33.54
394 Hansen, Curt240458 17.78
395 Ioseliani, Nana240471 20.38
396 Khasin, Abram I240473 59.37
397 Borik, Otto240453 34.76
398 Bielczyk, Jacek240454 29.35
399 Vasilev, Nikolai240468 13.32
400 Itkis, Boris240376 29.73
401 Hausner, Ivan240353 30.21
402 Szymczak, Zbigniew240254 30.49
403 Budde, Vladimir240267 29.52
404 Bouaziz, Slim240168 32.20
405 Morris, Walter D240172 23.83
406 Scheeren, Peter240161 26.91
407 Filipovic, Branko240073 24.73
408 Morovic Fernández, Iván E240072 19.27
409 Sideif Sade, Fikret I240061 30.49
410 Balinas, Rosendo Carrean239865
411 Ardiansyah, Haji239858 30.57
412 Angantysson, Haukur239765 33.58
413 Petran, Pal239760 35.79
414 Bukal, Vladimir Sr239771 42.66
415 Zapata, Alonso239662 23.86
416 Schoeneberg, Manfred239664 35.98
417 Tomaszewski, Roman239664 22.12
418 Rivas Pastor, Manuel239654 21.96
419 Pekarek, Ales239573 20.54
420 Rath, Ulrik239569 35.51
421 Gurevich, Mikhail N239569 23.36
422 Bednarski, Jacek B239462 43.30
423 Gerusel, Mathias239465 44.40
424 Emma, Jaime J239471 44.45
425 Herzog, Adolf239359 29.06
426 Nurkic, Sahbaz239266 26.29
427 Horvath, Tamas239156 30.69
428 Banas, Jan239155 35.07
429 Ravikumar, Vaidyanathan239158 22.51
430 Przewoznik, Jan239163 24.79
431 Cabrilo, Goran239161 23.99
432 Hebert, Jean238962 24.63
433 Filipowicz, Andrzej238972 44.13
434 Filipenko, Alexander V238975 33.32
435 Hansson, Dan238866 30.05
436 Kagan, Shimon238757 40.23
437 Handoko, Edhi238757 21.84
438 Danner, Georg238756 35.68
439 Honfi, Karoly238656 51.68
440 Bronstein, Luis238670 36.08
441 Goehring, Karl Heinz238669
442 Nowak, Ignacy238565 33.47
443 Cifuentes Parada, Roberto238573 24.52
444 Rantanen, Yrjo A238555 32.19
445 Welin, Thomas238560 22.82
446 Skembris, Spyridon238456 24.36
447 Fernandez Garcia, Jose Luis238466 28.16
448 Gauglitz, Gernot238357 20.01
449 Thorsteins, Karl238262 17.71
450 Beil, Zdenek238173 28.86
451 Frias, Victor J238165 26.39
452 Mencinger, Vojko238069 24.23
453 Kraehenbuehl, Gerhard238061 21.29
454 Benjamin, Joel L237960 18.30
455 Bohosjan, Sarkis237967 41.26
456 Trikaliotis, Georgios237965 43.35
457 Janoševic, Dragoljub237975 58.97
458 Kuzmin, Alexey237862 19.31
459 Nicevski, Risto237861 37.01
460 Moehring, Guenther237856 45.60
461 Soos, Bela237861 52.31
462 Cox, John J237766 20.11
463 Pokojowczyk, Jerzy237754 33.36
464 Butnorius, Algimantas237671 35.61
465 Van Riemsdijk, Herman C237663 33.84
466 Giardelli, Sergio C237657 27.01
467 Hoelzl, Franz237655 36.23
468 Akesson, Ralf237656 21.39
469 Dobosz, Henryk237560 29.28
470 Tischbierek, Raj237555 19.77
471 Danailov, Silvio237563 21.19
472 Nun, Josef237564 48.93
473 Bajovic, Milan237562
474 Hoi, Carsten237452 25.45
475 Shvidler, Eliahu237268 22.53
476 Wilder, Michael237273 19.79
477 Rumens, David E237170 42.77
478 Suttles, Duncan237159 36.52
479 Hartoch, Robert G237166
480 Peev, Peicho Chonev237162 42.24
481 Rigo, Janos237060 33.67
482 Sjoberg, Mats237063 23.63
483 Lieb, Harald237072 47.51
484 Huss, Andreas237066 31.71
485 Soylu, Suat236965
486 Barle, Janez236965 30.27
487 Kristensen, Bjarke236959 26.22
488 Schinzel, Wladyslaw236955 39.11
489 Fries Nielsen, Jens Ove236954 22.35
490 Horner, Jeff236872 32.85
491 Segal, Alexandru Sorin236870 34.74
492 Zueger, Beat236859 21.07
493 Iskov, Gert236751 33.92
494 Santos, Jose P236665 23.72
495 Ernst, Thomas236661 21.87
496 Gonsior, Evzen236675 50.56
497 Goodman, David SC236572
498 Pavlov, Mircea236555 44.79
499 Diaz, Joaquin C236471 33.98
500 Panczyk, Krzysztof236461 23.95

These ratings, calculated as of June 30, 1982, incorporate all games (against rated opponents) played in the time between July 1, 1981 and June 30, 1982, along with the ratings that were already calculated as of June 30, 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 June 30, 1982. This represents the player's estimated strength on July 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 July 1, 1982. The +/- value represents the standard deviation of that estimate; the player's true strength on July 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 July 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 June 30, 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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