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After politics, Mr. Bradley turned down an invitation to become chairman of the U.S. Olympic Committee.

Former Rep. Jim Ryun is the most recent Olympian in Congress, serving Kansas as a Republican from 1996 to 2007. He is considered one of the greatest American mile runners in history, and in 1964 was the first high schooler to run the mile in under 4 minutes. A year later, he set the then-American record of 3:55 in the mile run.

While at the University of Kansas, he broke world records in the 800-yard run, the mile run and the 1,500-meter run, according to U.S.A. Track and Field. In all, he set six world records and held the world mile record for nine years and U.S. mile record for 14 years.

Mr. Ryun won the silver medal in the 1,500-meter race at the 1968 Olympics in Mexico City. He also qualified for the 1,500-meter run for the 1972 games in Munich but failed to medal. He was inducted into the U.S.A. Track and Field Hall of Fame in 1980.

Wendell Anderson of Minnesota, who was appointed to the Senate in 1976 as a Democrat to fill the vacancy caused by Walter F. Mondale — who resigned after being elected vice president — won a silver medal in ice hockey at the 1956 Olympics at Cortina, Italy. He served in the chamber for two years.

While serving as the Gopher State’s governor in 1972, the Minnesota Fighting Saints of the World Hockey Association drafted Mr. Anderson as a publicity stunt. He declined and remained as governor.

And Ben Nighthorse Campbell, a Colorado Democrat who served in the House from 1987 to 1993 and in the Senate from 1993 to 2005, competed in judo at the 1964 Summer Olympics in Tokyo. An injury kept him from earning a medal.