| Career performances of 2800-2899: |
| 2829 in Curacao (Candidates), 1962, scoring 17.5/27 (65%) vs 2723-rated opposition |
| 2824 in Moscow (Training), 1966, scoring 8.5/10 (85%) vs 2672-rated opposition |
| Career performances of 2700-2799: |
| 2798 in Tbilisi (URS Championship), 1959, scoring 13.5/19 (71%) vs 2666-rated opposition |
| 2795 in Botvinnik-Petrosian Match (World Championship, Moscow), 1963, scoring 12.5/22 (57%) vs 2756-rated opposition |
| 2778 in Petrosian-Spassky I (World Championship, Moscow), 1966, scoring 12.5/24 (52%) vs 2767-rated opposition |
| 2778 in Moscow (URS Championship), 1961, scoring 12/17 (71%) vs 2655-rated opposition |
| 2776 in Moscow (URS Championship), 1969, scoring 17/26 (65%) vs 2663-rated opposition |
| 2767 in Riga (URS Championship), 1958, scoring 12/18 (67%) vs 2665-rated opposition |
| 2767 in Leningrad (URS Championship), 1960, scoring 12.5/18 (69%) vs 2646-rated opposition |
| 2762 in Tilburg (Interpolis), 1981, scoring 7/11 (64%) vs 2718-rated opposition |
| 2762 in Bled/Zagreb/Belgrade (Candidates), 1959, scoring 15.5/28 (55%) vs 2718-rated opposition |
| 2758 in Moscow (URS Championship), 1951, scoring 11/16 (69%) vs 2650-rated opposition |
| 2754 in Yerevan (URS Championship), 1975, scoring 9/14 (64%) vs 2685-rated opposition |
| 2754 in La Habana ol (Men) fin-A Havana, 1966, scoring 6/7 (86%) vs 2630-rated opposition |
| 2754 in Zurich (Candidates), 1953, scoring 15/28 (54%) vs 2723-rated opposition |
| 2751 in Moscow (URS Championship), 1976, scoring 10/16 (63%) vs 2684-rated opposition |
| 2749 in Saltsjobaden (Interzonal), 1952, scoring 12/18 (67%) vs 2645-rated opposition |
| 2747 in Moscow (URS Championship), 1973, scoring 10/16 (63%) vs 2680-rated opposition |
| 2747 in Biel (Interzonal), 1976, scoring 16.5/27 (61%) vs 2660-rated opposition |
| 2746 in Stockholm (Interzonal), 1962, scoring 14/20 (70%) vs 2612-rated opposition |
| 2746 in Petrosian-Portisch Match (Candidates quarterfinal, Palma de Mallorca), 1974, scoring 7/13 (54%) vs 2749-rated opposition |
| 2744 in Garga (URS Training), 1953, scoring 6/9 (67%) vs 2695-rated opposition |
| 2740 in Lugano ol (Men), 1968, scoring 7.5/9 (83%) vs 2592-rated opposition |
| 2739 in Bled, 1961, scoring 11.5/18 (64%) vs 2654-rated opposition |
| 2739 in Korchnoi-Petrosian I (Candidates semifinal, Moscow), 1971, scoring 5.5/10 (55%) vs 2750-rated opposition |
| 2738 in Petrosian-Spassky II (World Championship, Moscow), 1969, scoring 10.5/23 (46%) vs 2770-rated opposition |
| 2738 in Milan, 1975, scoring 11.5/21 (55%) vs 2708-rated opposition |
| 2737 in Leningrad (URS Championship), 1977, scoring 9/15 (60%) vs 2689-rated opposition |
| 2734 in Gothenburg (Interzonal), 1955, scoring 12.5/20 (63%) vs 2652-rated opposition |
| 2733 in HUN-URS Budapest, 1955, scoring 5.5/7 (79%) vs 2642-rated opposition |
| 2731 in Moscow (Alekhine Memorial), 1971, scoring 10/17 (59%) vs 2683-rated opposition |
| 2731 in San Antonio, 1972, scoring 8/12 (67%) vs 2654-rated opposition |
| 2729 in Tallinn (Keres Memorial), 1979, scoring 10.5/14 (75%) vs 2585-rated opposition |
| 2726 in Amsterdam (Candidates), 1956, scoring 9.5/18 (53%) vs 2716-rated opposition |
| 2725 in Palma de Mallorca, 1969, scoring 11.5/17 (68%) vs 2615-rated opposition |
| 2725 in URS-chT Moscow, 1966, scoring 6.5/11 (59%) vs 2701-rated opposition |
| 2724 in Los Angeles (Piatigorsky Cup), 1963, scoring 8.5/14 (61%) vs 2673-rated opposition |
| 2720 in Fischer-Petrosian Match (Candidates final, Buenos Aires), 1971, scoring 2.5/9 (28%) vs 2894-rated opposition |
| 2717 in Moscow (URS Championship), 1955, scoring 11.5/19 (61%) vs 2649-rated opposition |
| 2717 in FRG-URS Hamburg, 1960, scoring 6.5/7 (93%) vs 2544-rated opposition |
| 2717 in Zurich, 1961, scoring 7.5/10 (75%) vs 2602-rated opposition |
| 2716 in Manila, 1974, scoring 9.5/14 (68%) vs 2617-rated opposition |
| 2713 in Portoroz (Interzonal), 1958, scoring 12.5/20 (63%) vs 2628-rated opposition |
| 2713 in Zagreb, 1965, scoring 12.5/19 (66%) vs 2607-rated opposition |
| 2711 in Korchnoi-Petrosian III (Candidates quarterfinal, Ciocco), 1977, scoring 5.5/12 (46%) vs 2763-rated opposition |
| 2710 in URS-chT Moscow, 1972, scoring 4/6 (67%) vs 2692-rated opposition |
| 2708 in Amsterdam (IBM), 1973, scoring 10/15 (67%) vs 2611-rated opposition |
| 2707 in Rio de Janeiro (Interzonal), 1979, scoring 10.5/16 (66%) vs 2613-rated opposition |
| 2705 in Palma de Mallorca, 1968, scoring 11.5/17 (68%) vs 2592-rated opposition |
| 2704 in Bucharest, 1953, scoring 11/16 (69%) vs 2588-rated opposition |
| 2704 in Yerevan, 1965, scoring 8/12 (67%) vs 2623-rated opposition |
| 2703 in Tilburg, 1982, scoring 6/11 (55%) vs 2704-rated opposition |
| 2700 in Kiev (URS Championship), 1954, scoring 11.5/17 (68%) vs 2587-rated opposition |
| 2700 in Moscow, 1975, scoring 9/15 (60%) vs 2646-rated opposition |
