Paul Erdős was one of the most prolific writers of mathematical papers. He collaborated a great deal, having 511 joint authors, a number of whom also have many collaborators. The Erdős number measures the "collaborative distance" between an author and Erdős. Thus, his direct co-authors have Erdős number 1, theirs have number 2, and so forth. Erdős himself has Erdős number 0.
This list includes researchers with Erdős numbers from 0 to 3 who are notable in their own right. For more complete listings of Erdős numbers, see the databases maintained by the Erdos Number Project or the collaboration distance calculator maintained by the American Mathematical Society.
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