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Jeffrey Epstein, the wealthy financier accused of sexually abusing girls for more than a decade, has been linked in the past to celebrities, prominent businessmen, politicians and, at one point, Prince Andrew of Britain.

But it is Mr. Epstein’s ties to two United States presidents, Bill Clinton and Donald J. Trump, that have drawn the most attention in recent days.

In 2002, Mr. Trump called Mr. Epstein a “terrific guy” in an interview with New York magazine. But on Tuesday, Mr. Trump told reporters he “was not a fan” of Mr. Epstein and that the two had a “falling out” and had not spoken for some 15 years.