The record for the most consecutive centuries in Test Matches is held by the Australian great Sir Don Bradman. He has scored 6 consecutive centuries. The list of players with the most consecutive centuries in Test matches are
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Don Bradman (Australia) - 6
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Jacques Kallis (South Africa) - 5
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Mohammad Yousuf (Pakistan) - 5
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Gautam Gambhir (India) - 5
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Don Bradman (Australia) - 4
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Don Bradman (Australia) - 4
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Jack Fingleton (Australia) - 4
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Everton Weekes (West Indies) - 4
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Neil Harvey (Australia) - 4
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Clyde Walcott (West Indies) - 4
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Ken Barrington (England) - 4
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Ken Barrington (England) - 4
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Sunil Gavaskar (India) - 4
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Matthew Hayden (Australia) - 4
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Rahul Dravid (India) - 4
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Matthew Hayden (Australia) - 4
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Jacques Kallis (South Africa) - 4
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Kumar Sangakkara (Sri Lanka) - 4
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Sachin Tendulkar (India) - 4
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Steve Smith (Australia) - 4