Select Top 20 players for every rating period from 1967 using the box at the top right of the table.
These ratings are official FIDE ratings.
| # | Name | Rating | Date | Age | ||
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| 1 | Carlsen, Magnus | 2868 | 2013 May | 22 |
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| 2 | Aronian, Levon | 2813 | 2013 May | 30 |
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| 3 | Kramnik, Vladimir | 2811 | 2013 May | 37 |
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| 4 | Topalov, Veselin | 2793 | 2013 May | 38 |
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| 5 | Anand, Viswanathan | 2783 | 2013 May | 43 |
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| 6 | Grischuk, Alexander | 2779 | 2013 May | 29 |
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| 7 | Nakamura, Hikaru | 2775 | 2013 May | 25 |
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| 8 | Caruana, Fabiano | 2774 | 2013 May | 20 |
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| 9 | Svidler, Peter | 2769 | 2013 May | 36 |
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| 10 | Karjakin, Sergey | 2767 | 2013 May | 23 |
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| 11 | Morozevich, Alexander | 2760 | 2013 May | 35 |
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| 12 | Ivanchuk, Vasyl | 2755 | 2013 May | 44 |
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| 13 | Mamedyarov, Shakhriyar | 2753 | 2013 May | 28 |
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| 14 | Radjabov, Teimour | 2745 | 2013 May | 26 |
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| 15 | Gelfand, Boris | 2744 | 2013 May | 44 |
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| 16 | Wang, Hao | 2743 | 2013 May | 23 |
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| 17 | Ponomariov, Ruslan | 2742 | 2013 May | 29 |
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| 18 | Kamsky, Gata | 2741 | 2013 May | 38 |
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| 19 | Leko, Peter | 2737 | 2013 May | 33 |
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| 20 | Giri, Anish | 2734 | 2013 May | 18 |
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