| Career performances of 2800-2899: |
| (none) |
| Career performances of 2700-2799: |
| 2761 in Moscow (Alekhine Memorial), 1956, scoring 10.5/15 (70%) vs 2650-rated opposition |
| 2755 in Wijk aan Zee (Hoogovens), 1970, scoring 12/15 (80%) vs 2576-rated opposition |
| 2750 in Tbilisi (URS Championship), 1959, scoring 12/19 (63%) vs 2668-rated opposition |
| 2749 in Saltsjobaden (Interzonal), 1952, scoring 12/18 (67%) vs 2646-rated opposition |
| 2747 in Leningrad, 1964, scoring 5.5/6 (92%) vs 2613-rated opposition |
| 2746 in Leningrad (URS Championship), 1956, scoring 13.5/20 (68%) vs 2629-rated opposition |
| 2735 in Moscow (URS Championship), 1952, scoring 15/24 (63%) vs 2643-rated opposition |
| 2730 in Zurich (Candidates), 1953, scoring 14/28 (50%) vs 2723-rated opposition |
| 2729 in Moscow (URS Championship), 1969, scoring 13/21 (62%) vs 2647-rated opposition |
| 2728 in Yerevan (URS Championship), 1962, scoring 12/17 (71%) vs 2599-rated opposition |
| 2726 in Palma de Mallorca (Interzonal), 1970, scoring 14/23 (61%) vs 2647-rated opposition |
| 2724 in Skopje, 1970, scoring 10/14 (71%) vs 2603-rated opposition |
| 2723 in URS-chT Riga, 1954, scoring 6.5/9 (72%) vs 2637-rated opposition |
| 2722 in Moscow (URS Championship), 1949, scoring 12/18 (67%) vs 2615-rated opposition |
| 2721 in Havana (Capablanca Memorial), 1967, scoring 13/18 (72%) vs 2575-rated opposition |
| 2716 in Tallinn (URS Championship), 1965, scoring 10.5/16 (66%) vs 2622-rated opposition |
| 2713 in Sukhumi, 1972, scoring 8.5/12 (71%) vs 2607-rated opposition |
| 2712 in Tbilisi (URS Championship), 1966, scoring 12/20 (60%) vs 2644-rated opposition |
| 2707 in Leningrad, 1957, scoring 5/7 (71%) vs 2647-rated opposition |
| 2704 in Baku (URS Championship), 1961, scoring 10/17 (59%) vs 2651-rated opposition |
| 2703 in Leningrad, 1967, scoring 10.5/16 (66%) vs 2608-rated opposition |
| 2701 in Moscow (URS Championship), 1955, scoring 11/19 (58%) vs 2649-rated opposition |
| 2701 in Kiev (URS Championship), 1954, scoring 11.5/17 (68%) vs 2588-rated opposition |