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- Ludek Pachman (Czechoslovakia, Germany, 1924–2003)
- Nikola Padevsky (Bulgaria, born 1933)
- Elisabeth Pähtz (Germany, born 1985)
- Mladen Palac (Croatia, born 1971)
- Sam Palatnik (Ukraine, USA, born 1950)
- Luis Palau (Argentina, 1897–1971 )
- Victor Palciauskas (Lithuania, USA, born 1941)
- Richard Palliser (England, born 1981)
- Rudolf Palme (Austria, 1910–2005)
- Ryan Palmer (Jamaica, born 1974)
- Davor Palo (Denmark, born 1985)
- Eero Paloheimo (Finland, born 1936)
- Oscar Panno (Argentina, born 1935)
- Vasily Panov (Russia, 1906–1973)
- Mark Paragua (Philippines, born 1984)
- Shadi Paridar (Iran, born 1986)
- Mircea Parligras (Romania, born 1980)
- Bruno Parma (Slovenia, born 1941)
- Frank Parr (England, 1918–2003)
- Louis Paulsen (Germany, 1833–1891)
- Wilfried Paulsen (Germany, 1828–1901)
- Duško Pavasovič (Croatia, Slovenia, born 1975)
- Max Pavey (USA, 1918–1957)
- Jiří Pelikán (Czechoslovakia, Argentina, 1906–1985)
- Yannick Pelletier (Switzerland, born 1976)
- Roman Pelts (Ukraine, Canada, born 1937)
- Peng Xiaomin (China, born 1973)
- Peng Zhaoqin (China, born 1978)
- Jonathan Penrose (England, born 1933)
- Corina Peptan (Romania, born 1978)
- Julius Perlis (Poland, Austria, 1880–1913)
- Frederic Perrin (England, USA, 1815–1889)
- Raaphi Persitz (England, Israel, Switzerland, born 1934)
- Nick Pert (England, born 1981)
- John Peters (USA, born 1951)
- Jusefs Petkevich (Latvia, born 1940)
- Arshak Petrosian (Armenia, born 1953)
- Davit G. Petrosian (Armenia, born 1984)
- Tigran Petrosian (Armenia, Georgia, USSR, 1929–1984)
- Alexander Petrov (Russia, 1794–1867)
- Vladimirs Petrovs (Latvia, 1907–1943)
- Gerhard Pfeiffer (Germany, 1923–2000)
- François-André Danican Philidor (France, 1726–1795)
- Luis Piazzini (Argentina, 1905–1980)
- Jeroen Piket (Netherlands, born 1969)
- Harry Nelson Pillsbury (USA, 1872–1906)
- Herman Pilnik (Germany, Argentina, 1914–1981)
- Karol Piltz (Poland, 1903–1939)
- Albert Pinkus (USA, 1903–1984)
- József Pintér (Hungary, born 1953)
- Vasja Pirc (Slovenia, 1907–1980)
- Rudolf Pitschak (Czechoslovakia, USA, born 1902)
- Karl Pitschel (Austria, 1829–1883)
- Aaron Pixton (USA, born 1986)
- Ján Plachetka (Slovakia, born 1945)
- Albin Planinc (Slovenia, 1944–2008)
- James Plaskett (England, Spain, born 1960)
- Kazimierz Plater (Poland, 1915–2004)
- Igor Platonov (Ukraine, 1934–1995)
- Joseph Platz (Germany, USA, 1905–1981)
- Isaias Pleci (Argentina, 1907–1979)
- David Podhorzer (Austria, born before 1916)
- Natalia Pogonina (Russia, born 1985)
- Henryk Pogorieły (Poland, 1908–1943)
- Ernest Pogosyants (Ukraine, 1935–1990)
- Iosif Pogrebyssky (Ukraine, 1906–1971)
- Amos Pokorný (Czechoslovakia, 1890–1949)
- Rudolph Pokorny (Bohemia, Mexico, USA, 1880–after 1920)
- Giulio Polerio (Italy, 1548–1612)
- Judit Polgár (Hungary, born 1976)
- Zsuzsa Polgar (Hungary, USA, born 1969)
- Zsofia Polgar (Hungary, Israel, born 1974)
- Elisabeta Polihroniade (Romania, born 1935)
- David Polland (USA, born 1915)
- William Pollock (United Kingdom, 1859–1896)
- Lev Polugaevsky (Belarus, Russia, 1934–1995)
- Arturo Pomar (Spain, born 1931)
- Ruslan Ponomariov (Ukraine, 1983)
- Domenico Ponziani (Italy, 1719–1796)
- Stepan Popel (Poland, France, USA, 1909–1987)
- Ignatz von Popiel (Austria-Hungary, Poland, 1863–1941)
- Petar Popović (Yugoslavia, Serbia, born 1959)
- Artur Poplawski (Poland, Switzerland, 1860–1918)
- Yosef Porath (Germany, Israel, 1909–1996)
- Moritz Porges (Bohemia/Austria-Hungary, 1857–1909)
- Lajos Portisch (Hungary, born 1937)
- Ehrhardt Post (Germany, 1881–1947)
- Evgeny Postny (Israel, born 1981)
- Peter Potemkine (Russia, France, 1886–1926)
- Vladimir Potkin (Russia, born 1982)
- Ludovit Potuček (Slovakia, born before 1921)
- Christian Poulsen (Denmark, 1912–1981)
- Atousa Pourkashiyan (Iran, born 1988)
- Borki Predojević (Bosnia, born 1987)
- Edith Charlotte Price (England, 1872–1952)
- Lodewijk Prins (Netherlands, born 1913)
- Svetlana Prudnikova (Russia, born 1967)
- Dawid Przepiórka (Poland, 1880–1942)
- Lev Psakhis (Russia, Israel, born 1958)
- Lenka Ptacnikova (Czechoslovakia, Iceland, born 1976)
- Stojan Puc (Slovenia, 1921–2004)
- Viktors Pupols (Latvia, USA, born 1935)
- Cecil Purdy (New Zealand, Australia, 1906–1979)
- John Purdy (Australia, born 1935)
Read more about this topic: List Of Chess Players