| Career performances of 2800-2899: |
| 2869 in Bled/Zagreb/Belgrade (Candidates), 1959, scoring 20/28 (71%) vs 2716-rated opposition |
| 2817 in Montreal, 1979, scoring 12/18 (67%) vs 2723-rated opposition |
| 2814 in Riga (Interzonal), 1979, scoring 14/17 (82%) vs 2615-rated opposition |
| 2808 in Bled, 1961, scoring 13.5/18 (75%) vs 2655-rated opposition |
| Career performances of 2700-2799: |
| 2793 in Botvinnik-Tal I (World Championship, Moscow), 1960, scoring 12.5/21 (60%) vs 2736-rated opposition |
| 2792 in Tallinn, 1973, scoring 11.5/14 (82%) vs 2612-rated opposition |
| 2784 in Riga (URS Championship), 1958, scoring 12.5/18 (69%) vs 2666-rated opposition |
| 2770 in Sochi (Chigorin Memorial), 1977, scoring 10/12 (83%) vs 2594-rated opposition |
| 2768 in Amsterdam (Interzonal), 1964, scoring 15/21 (71%) vs 2623-rated opposition |
| 2766 in Leningrad, 1977, scoring 11.5/17 (68%) vs 2662-rated opposition |
| 2764 in Tbilisi (URS Championship), 1959, scoring 12.5/19 (66%) vs 2665-rated opposition |
| 2762 in Baku (URS Championship), 1972, scoring 14.5/20 (73%) vs 2612-rated opposition |
| 2761 in Reykjavik (World Cup), 1988, scoring 10/17 (59%) vs 2717-rated opposition |
| 2759 in Tbilisi (URS Championship), 1978, scoring 11/17 (65%) vs 2674-rated opposition |
| 2758 in Zurich, 1959, scoring 11.5/15 (77%) vs 2601-rated opposition |
| 2754 in Portisch-Tal Match (Candidates quarterfinal, Bled), 1965, scoring 5.5/8 (69%) vs 2707-rated opposition |
| 2752 in Moscow (URS Championship), 1957, scoring 14/21 (67%) vs 2640-rated opposition |
| 2752 in URS Spartakiad Moscow, 1964, scoring 4.5/6 (75%) vs 2704-rated opposition |
| 2748 in Miskolc (Asztalos Memorial), 1963, scoring 12/14 (86%) vs 2537-rated opposition |
| 2748 in FRG-URS Hamburg, 1960, scoring 7.5/8 (94%) vs 2559-rated opposition |
| 2744 in Portoroz (Interzonal), 1958, scoring 13.5/20 (68%) vs 2627-rated opposition |
| 2741 in Havana (Capablanca Memorial), 1963, scoring 15/19 (79%) vs 2547-rated opposition |
| 2740 in Skopje ol (Men) fin-A, 1972, scoring 10/12 (83%) vs 2559-rated opposition |
| 2740 in Montpellier (Candidates), 1985, scoring 11.5/21 (55%) vs 2710-rated opposition |
| 2736 in Sochi (Chigorin Memorial), 1973, scoring 10/14 (71%) vs 2617-rated opposition |
| 2735 in Reykjavik, 1987, scoring 7/11 (64%) vs 2686-rated opposition |
| 2734 in Yerevan (URS Championship), 1975, scoring 8.5/14 (61%) vs 2685-rated opposition |
| 2733 in Reykjavik, 1964, scoring 7/7 (100%) vs 2527-rated opposition |
| 2732 in Riga, 1981, scoring 11/15 (73%) vs 2594-rated opposition |
| 2731 in Moscow, 1967, scoring 10/17 (59%) vs 2683-rated opposition |
| 2731 in WchT U26 04th Reykjavik, 1957, scoring 7/8 (88%) vs 2572-rated opposition |
| 2729 in Leningrad (URS Championship), 1974, scoring 9.5/15 (63%) vs 2658-rated opposition |
| 2729 in Munich ol (Men) fin-A, 1958, scoring 8/9 (89%) vs 2546-rated opposition |
| 2728 in Tallinn, 1971, scoring 9/12 (75%) vs 2597-rated opposition |
| 2727 in Palma de Mallorca, 1966, scoring 11/14 (79%) vs 2560-rated opposition |
| 2727 in Leningrad (URS Championship), 1971, scoring 13.5/21 (64%) vs 2628-rated opposition |
| 2727 in La Habana ol (Men) fin-A Havana, 1966, scoring 7/8 (88%) vs 2567-rated opposition |
| 2726 in Yerevan (URS Championship), 1962, scoring 12/17 (71%) vs 2596-rated opposition |
| 2724 in Wijk aan Zee (Hoogovens), 1973, scoring 10.5/15 (70%) vs 2607-rated opposition |
| 2722 in Biel (Interzonal), 1976, scoring 15.5/27 (57%) vs 2661-rated opposition |
| 2720 in Halle (DSV-Turnier), 1974, scoring 11/14 (79%) vs 2551-rated opposition |
| 2719 in Sochi, 1982, scoring 9/13 (69%) vs 2617-rated opposition |
| 2718 in Stockholm, 1960, scoring 9.5/11 (86%) vs 2524-rated opposition |
| 2717 in Tbilisi (Goglidze Memorial), 1969, scoring 10.5/15 (70%) vs 2599-rated opposition |
| 2716 in Bugojno, 1978, scoring 8.5/15 (57%) vs 2687-rated opposition |
| 2716 in URS-chT Moscow, 1966, scoring 4.5/8 (56%) vs 2731-rated opposition |
| 2715 in Kharkov (URS Championship), 1967, scoring 4.5/5 (90%) vs 2608-rated opposition |
| 2714 in Tal-Timman Match (Hilversum), 1988, scoring 3.5/6 (58%) vs 2740-rated opposition |
| 2714 in Moscow (Alekhine Memorial), 1963, scoring 10.5/15 (70%) vs 2596-rated opposition |
| 2714 in Moscow (Alekhine Memorial), 1971, scoring 9.5/17 (56%) vs 2683-rated opposition |
| 2714 in Lublin, 1974, scoring 11.5/14 (82%) vs 2520-rated opposition |
| 2712 in Leningrad (URS Championship), 1956, scoring 10.5/16 (66%) vs 2618-rated opposition |
| 2711 in Moscow (Interzonal), 1982, scoring 8/13 (62%) vs 2658-rated opposition |
| 2711 in Subotica (Interzonal), 1987, scoring 9/14 (64%) vs 2635-rated opposition |
| 2710 in Tallinn, 1977, scoring 9/13 (69%) vs 2607-rated opposition |
| 2710 in Sochi, 1970, scoring 9/12 (75%) vs 2576-rated opposition |
| 2710 in Sukhumi, 1972, scoring 8.5/12 (71%) vs 2603-rated opposition |
| 2709 in Korchnoi-Tal Match (Candidates semifinal, Moscow), 1968, scoring 4.5/10 (45%) vs 2775-rated opposition |
| 2708 in Tallinn (Keres Memorial), 1979, scoring 10/14 (71%) vs 2584-rated opposition |
| 2707 in Tbilisi, 1986, scoring 10/14 (71%) vs 2583-rated opposition |
| 2706 in Taxco (Interzonal), 1985, scoring 10/15 (67%) vs 2609-rated opposition |
| 2704 in Kiev (URS Championship), 1964, scoring 11/17 (65%) vs 2611-rated opposition |
| 2703 in Gligoric-Tal Match (Candidates quarterfinal, Belgrade), 1968, scoring 5.5/9 (61%) vs 2678-rated opposition |
| 2702 in Leipzig ol (Men) fin-A, 1960, scoring 5.5/8 (69%) vs 2643-rated opposition |
| 2701 in Yerevan, 1982, scoring 9.5/13 (73%) vs 2572-rated opposition |
